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1.

What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000?

Answer» Average sales (in thousand number) of branches B1, B3 and B6 in 2000     = 1 x (80 + 95 + 70) = 245 . 3 3 Average sales (in thousand number) of branches B1, B2 and B3 in 2001     = 1 x (105 + 65 + 110) = 280 . 3 3 Required percentage = 245/3 x 100 % = 245 x 100 % = 87.5%. 280/3 280
2.

What is the average sales of all the branches (in thousand numbers) for the year 2000?

Answer» Average sales of all the six branches (in thousand numbers) for the year 2000     = 1 x [80 + 75 + 95 + 85 + 75 + 70] 6     = 80.
3.

Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers) is?

Answer» Total sales of branches B1, B3 and B5 for both the years (in thousand numbers)     = (80 + 105) + (95 + 110) + (75 + 95)     = 560.
4.

What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?

Answer» Required ratio = (75 + 65) = 140 = 7 . (85 + 95) 180 9
5.

Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for both the years?

Answer» Required percentage = (70 + 80) x 100 % (95 + 110) = 150 x 100 % 205 = 73.17%.
6.

What is the approximate difference between the average sales turnover of all the companies put together between the years 2001 - 2002 and 2002 - 2003 ?

Answer» Difference between the sum of the two years divided by 5.
7.

What should have been the sales turnover of GM in 2002 - 2003 to have shown an excess of the same quantum over 2001 - 2002 as shown by the sales turnover of Maruti ?

Answer» GM should have increased its sales turnover by Rs.49.13 crore. Hence, the answer is 913.63 + 49.13 = 962.76.
8.

Which of the companies shows the maximum percentage difference in sales turnover between the two years ?

Answer» Hyundai with 25.25 % is marginally higher than Honda with 24.5 %.
9.

The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves is?

Answer» Average foreign exchange reserves over the given period = 3480 million US $. The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and 1997-98, i.e., for 3 years and below 3480 million US $ during the years 1991-92, 1993-94, 1994-95, 1995-56 and 1998-99 i.e., for 5 years. Hence, required ratio = 3 : 5.
10.

The maximum difference between the amount invested in Raw materials and value of sales of finished goods was during the year?

Answer» The differences between the amount invested in raw material and the value of sales of finished goods for various years are: For 1995 = Rs. (200 - 120) lakhs = Rs. 80 lakhs. For 1996 = Rs. (300 - 225) lakhs = Rs. 75 lakhs. For 1997 = Rs. (500 - 375) lakhs = Rs. 125 lakhs. For 1998 = Rs. (400 - 330) lakhs = Rs. 70 lakhs. For 1999 = Rs. (600 - 525) lakhs = Rs. 75 lakhs. For 2000 = Rs. (460 - 420) lakhs = Rs. 40 lakhs. Clearly, maximum difference was during 1997.
11.

The value of sales of finished goods in 1999 was approximately what percent of the sum of amount invested in Raw materials in the years 1997, 1998 and 1999?

Answer» Required percentage = 600 x 100 % (375 + 330 + 525) = 48.78% 49%.
12.

The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign exchange reserves over the period under review?

Answer» Average foreign exchange reserves over the given period = 1 x (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120) million US $ 8 = 3480 million US $. Foreign exchange reserves in 1996 - 1997 = 4320 million US $. Required percentage = 4320 x 100 % = 124.14% 125%. 3480
13.

What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94?

Answer» Foreign exchange reserves in 1997 - 1998 = 5040 million US $. Foreign exchange reserves in 1993 - 1994 = 2520 million US $. Increase = (5040 - 2520) = 2520 US $. Percentage Increase = 2520 x 100 % = 100%. 2520
14.

What was the difference between the average amount invested in Raw materials during the given period and the average value of sales of finished goods during this period?

Answer» Required difference = Rs. 1 x (200 + 300 + 500 + 400 + 600 +460) 6         - 1 x (120 + 225 + 375 + 330 + 525 + 420) lakhs 6 = Rs. 2460 - 1995 lakhs 6 6 = Rs. (410 - 332.5) lakhs = Rs. 77.5 lakhs.
15.

In which year, the percentage change (compared to the previous year) in the investment on Raw materials is same as that in the value of sales of finished goods?

Answer» The percentage change in the amount invested in raw-materials and in the value of sales of finished goods for different years are: Percentage change in Amount invested in raw-material: For 1996 = (225 - 120) x 100 % = 87.5%. 120 For 1997 = (375 - 225) x 100 % = 66.67%. 225 For 1998 = (330 - 375) x 100 % = -12%. 375 For 1999 = (525 - 330) x 100 % = 59.09%. 330 For 2000 = (420 - 525) x 100 % = -20%. 525 Percentage change in value of sales of finished goods: For 1996 = (300 - 200) x 100 % = 50%. 200 For 1997 = (500 - 300) x 100 % = 66.7%. 300 For 1998 = (400 - 500) x 100 % = -20%. 500 For 1999 = (600 - 400) x 100 % = 50%. 400 For 2000 = (460 - 600) x 100 % = -23.33%. 600 Thus, the percentage difference is same during the year 1997.
16.

In which year, there has been a maximum percentage increase in the amount invested in Raw materials as compared to the previous year?

Answer» The percentage increase in the amount invested in raw-materials as compared to the previous year, for different years are: For 1996 = (225 - 120) % = 87.5%. 120 For 1997 = (375 - 225) % = 66.67%. 225 For 1998 there is a decrease. For 1999 = (525 - 330) % = 59.09%. 330 For 2000 there is a decrease. There is maximum percentage increase in 1996.
17.

What was the percentage decline in the production of fertilizers from 1997 to 1998?

Answer» Required percentage = (45 - 60) % = -25%. 60 There is a decline of 25% in production from 1997 to 1998.
18.

What was the percentage increase in production of fertilizers in 2002 compared to that in 1995?

Answer» Required percentage = (80 - 25) x 100 % = 220%. 25
19.

In which year was the percentage increase in production as compared to the previous year the maximum?

Answer» The percentage increase in production compared to previous year for different years are: In 1996 = (40 - 25) x 100 % = 60%. 25 In 1997 = (60 - 40) x 100 % = 50%. 40 In 1998 there is a decrease in production. In 1999 = (65 - 45) x 100 % = 44.44%. 45 In 2000 there is a decrease in production. In 2001 = (75 - 50) x 100 % = 50%. 50 In 2002 = (80 - 75) x 100 % = 6.67%. 75 Clearlyl, there is maximum percentage increase in production in 1996.
20.

In how many of the given years was the production of fertilizers more than the average production of the given years?

Answer» Average production (in 10000 tonnes) over the given years     = 1 (25 + 40 + 60 + 45 + 65 + 50 + 75 + 80) = 55. 8 The productions during the years 1997, 1999, 2001 and 2002 are more than the average production.
21.

The total amount of expenditures of the company is how many times of expenditure on research and development?

Answer» Let the total expenditures be Rs. x. Then, the expenditure on Research and Development (R & D)     = Rs. (5% of x)     = Rs. 5 x x 100     = Rs. x . 20 Ratio of the total expenditure to the expenditure on R & D     = x x/20     = 20 . 1 Then, the total expenditure is 20 times the expenditure of Research and Development.
22.

The sales of lipsticks in 2000 was by what percent more than the sales of nail enamels in 2000? (rounded off to nearest integer)

Answer» Required percentage = (48.17 - 37.76) x 100 % 37.76 = 27.57% 28%.
23.

During the period 1995-2000, the minimum rate of increase in sales is in the case of?

Answer» The percentage increase from 1995 to 2000 for various products are: Lipsticks = (48.17 - 20.15) x 100 % = 139.06%. 20.15 Nail enamels = (37.76 - 5.93) x 100 % = 536.76%. 5.93 Talcum powders = (29.14 - 14.97) x 100 % = 94.66%. 14.97 Shampoos = (12.21 - 7.88) x 100 % = 54.95% 55%. 7.88 Conditioners = (10.19 - 5.01) x 100 % = 103.39%. 5.01 The minimum rate of increase in sales from 1995 to 2000 is in the case of Shampoos.
24.

What is the approximate ratio of the sales of nail enamels in 2000 to the sales of Talcum powders in 1995?

Answer» Required ratio = 37.76 2.5 = 5 . 14.97 2
25.

The sales have increase by nearly 55% from 1995 to 2000 in the case of?

Answer» The percentage increase from 1995 to 2000 for various products are: Lipsticks = (48.17 - 20.15) x 100 % = 139.06%. 20.15 Nail enamels = (37.76 - 5.93) x 100 % = 536.76%. 5.93 Talcum powders = (29.14 - 14.97) x 100 % = 94.66%. 14.97 Shampoos = (12.21 - 7.88) x 100 % = 54.95% 55%. 7.88 Conditioners = (10.19 - 5.01) x 100 % = 103.39%. 5.01
26.

The sales of conditioners in 1995 was by what percent less than the sales of shampoos in 1995? (rounded off to nearest integer)

Answer» Required percentage = (7.88 - 5.01) x 100 % 7.88 = 36.42% 36%.
27.

The companies M and N together had a percentage of profit/loss of?

Answer» Total income of Companies M and N together     = (35 + 50) million US $     = 85 million US $ Total expenditure of Companies M and N together     = (45 + 40) million US $     = 85 million US $. Percent Profit/Loss of companies M and N together % Profit/Loss = 85 - 85 x 100 = 0%. 85 Thus, there was neither loss nor profit for companies M and N together.
28.

If the expenditure on advertisement is 2.10 crores then the difference between the expenditure on transport and taxes is?

Answer» Let the total expenditure be Rs. x crores. Then, 15% of x = 2.10         x = 2.10 x 100 = 14. 15 Total expenditure = Rs. 14 crores and so, the difference between the expenditures on transport and taxes     = Rs. [(12.5 - 10)% of 14] crores     = Rs. [2.5% of 14] crores     = Rs. 0.35 crores     = Rs. 35 lakhs
29.

What is the ratio of the total expenditure on infrastructure and transport to the total expenditure on taxes and interest on loans?

Answer» Let the total amount of expenditures be Rs. x. Then, the total expenditure on infrastruture and transport     = Rs. [(20 + 12.5)% of x]     = Rs. [32.5% of x]     = Rs. 32.5x 100 and total expenditure on taxes and interest on loans     = Rs. [(10 + 17.5)% of x]     = Rs. [27.5% of x]     = Rs. 27.5x 100 Required ratio = 32.5x/100 = 13 . 27.5x/100 11
30.

If the interest on loans amounted to Rs. 2.45 crores then the total amount of expenditure on advertisement, taxes and research and development is?

Answer» Let the total expenditure be Rs. x crores. Then, 17.5% of x = 2.45         x = 14. Total expenditure = Rs. 14 crores. and so, the total expenditure on advertisement, taxes and Research and Development     = Rs. [(15 + 10 + 5)% of 14] crores     = Rs. [30% of 14] crores     = Rs. 4.2 crores.
31.

The expenditure on the interest on loans is by what percent more than the expenditure on transport?

Answer» Let the total amount of expenditures be Rs. x. Then, the expenditure on interest on loans = Rs. (17.5% of x) = Rs. 17.5 x 100 and the expenditure on transport = Rs. (12.5% of x) = Rs. 12.5 x . 100 Difference between the two expenditures = Rs. 17.5x - 12.5x 100 100 = Rs. 5x 100 and so, the required percentage = 5x/100 x 100 % = 40%. 12.5x/100
32.

What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998?

Answer» Percentage decline in the production of flavour Z in 2000 as compared to the production in 1998     = (60 - 40) x 100 % 60     = 20 x 100 % 60     = 33.33%     33%.
33.

In 2001, what was the approximate percentage of profit/loss of all the five Companies taken together?

Answer» Total income of all five companies     = (35 + 50 + 40 + 40 + 50) million US $     = 215 million US $. Total expenditure of all five companies     = (45 + 40 + 45 + 30 + 45) million US $     = 205 million US $. % Profit = (215 - 205) x 100 % = 4.88% 5%. 205
34.

Which company earned the maximum percentage profit in the year 2001?

Answer» The percentage profit/loss in the year 2001 for various comapanies are: For M = (35 - 45) x 100 % = -22.22%   i.e.,   Loss = 22.22%. 45 For N = (50 - 40) x 100 % = 25%   i.e.,   Profit = 25%. 40 For P = (40 - 45) x 100 % = -11.11%   i.e.,   Loss = 11.11%. 45 For Q = (40 - 30) x 100 % = 33.33%   i.e.,   Profit = 33.33%. 30 For R = (50 - 45) x 100 % = 11.11%   i.e.,   Profit = 11.11%. 45 Clearly, the Company Q earned the maximum profit in 2001.
35.

For Company R, if the expenditure had increased by 20% in year 2001 from year 2000 and the company had earned profit of 10% in 2000, what was the Company's income in 2000 (in million US $)?

Answer» Let the expenditure of Company R in 2000 be x million US $. Then, expenditure of Company R in 2001 = 120 x x million US $. 100 120x = 45         x = 37.5. 100 i.e., expenditure of Company R in 2000 = 37.5 million US $. Let the income of Company R in 2000 be I million US $. Then, 10 = (I - 37.5) x 100     [ %Profit in 2000 = 10%] 37.5     I - 37.5 = 3.75     I = 41.25 i.e., Income of Company R in 2000 = 41.25 million US $.
36.

If the income of Company Q in 2001 was 10% more than its income in 2000 and the Company had earned a profit of 20% in 2000, then its expenditure in 2000 (in million US $) was?

Answer» Let the income of Company Q in 2001 = x million US $. Then, income of Company in 2001 = 110 x x million US $. 100 110x = 40         x = 400 . 100 11 i.e., income of Company Q in 2000 = 400 million US $. 11 Let the expenditure of Company Q in 2000 be E million US $. Then, 20 = [(400/11) - E] x 100     [ %Profit = 20% ] E     20 = 400 - 1 x 100 11E     E = 400 x 100 = 30.30. 11 120 Expenditure of Company Q in 2000 = 30.30 million US $.
37.

What is the difference between the production of Company Z in 1998 and Company Y in 1996?

Answer» Required difference = [(45 - 25) x 1,00,000] tons = 20,00,000 tons.
38.

If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been?

Answer» If the percentage production of P type cars in 2001     = Percentage production of P type cars in 2000     = 30%. then, number of P type cars produced in 2001     = 30% of 4,40,000     = 1,32,000.
39.

If 85% of the S type cars produced in each year were sold by the company, how many S type cars remain unsold?

Answer» Number of S type cars which remained unsold in 2000 = 15% of 35,000 and number of S type cars which remained unsold in 2001 = 15% of 44,000. Total number of S type cars which remained unsold     = 15% of (35,000 + 44,000)     = 15% of 79,000     = 11,850.
40.

For which model the percentage rise/fall in production from 2000 to 2001 was minimum?

Answer» The percentage change (rise/fall) in production from 2000 to 2001 for various models is: For P = (176000 - 105000) x 100 % = 67.62%, rise. 105000 For Q = (88000 - 52500) x 100 % = 67.62%, rise. 52500 For R = (70000 - 66000) x 100 % = 5.71%, fall. 70000 For S = (44000 - 35000) x 100 % = 25.71%, rise. 35000 For T = (52500 - 44000) x 100 % = 16.19%, fall. 52500 For U = (35000 - 22000) x 100 % = 37.14%, fall. 35000 Minimum percentage rise/fall is production is the case of model R.
41.

The total production of flovour Z in 1997 and 1998 is what percentage of the total production of flavour X in 1995 and 1996?

Answer» Required percentage = (60 + 60) x 100 % (50 + 40) = 120 x 100 % 90 = 133.33%.
42.

For which flavour was the average annual production maximum in the given period?

Answer» Average annual productions over the given period for various flavours are: For Flavour X = 1 x (50 + 40 + 55 + 45 + 60 + 50) = 50 lakh bottles. 6 For Flavour Y = 1 x (55 + 60 + 50 + 55 + 50 + 55) = 54.17 lakh bottles. 6 For Flavour Z = 1 x (45 + 50 + 60 + 60 + 45 + 40) = 50 lakh bottles. 6 Maximum average production is for Flavour Y.
43.

What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?

Answer» Average production of flavour X in 1995, 1996 and 1997     = 1 x (50 + 40 + 55) 3     = 145 lakh bottles. 3 Average production of flavour Y in 1998, 1999 and 2000     = 1 x (55 + 50 + 55) 3     = 160 lakh bottles. 3 Difference = 160 - 145 3 3 = 15 3 = 5 lakh bottles = 5,00,000 bottles.
44.

What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?

Answer» Total number of Q type cars produced in 2001     =(60 - 40)% of 4,40,000 = 88,000. Total number of Q type cars produced in 2000     =(45 - 30)% of 3,50,000 = 52,500. Required difference = (88000 - 52500) = 35,500.
45.

Total number of cars of models P, Q and T manufactured in 2000 is?

Answer» Analysis of the graph: We shall first determine the number of cars of each model produced by the Company during the two years: In 2000 : Total number of cars produced = 3,50,000. P = (30 - 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000. Q = (45 - 30)% of 3,50,000 = 15% of 3,50,000 = 52,500. R = (65 - 45)% of 3,50,000 = 20% of 3,50,000 = 70,000. S = (75 - 65)% of 3,50,000 = 10% of 3,50,000 = 35,000. T = (90 - 75)% of 3,50,000 = 15% of 3,50,000 = 52,500. U = (100 - 90)% of 3,50,000 = 10% of 3,50,000 = 35,000. In 2001 : Total number of cars produced = 4,40,000. P = (40 - 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000. Q = (60 - 40)% of 4,40,000 = 20% of 4,40,000 = 88,000. R = (75 - 60)% of 4,40,000 = 15% of 4,40,000 = 66,000. S = (85 - 75)% of 4,40,000 = 10% of 4,40,000 = 44,000. T = (95 - 85)% of 4,40,000 = 10% of 4,40,000 = 44,000. U = (100 - 95)% of 4,40,000 = 5% of 4,40,000 = 22,000. Total number of cars of models P, Q and T manufacture in 2000     = (105000 + 52500 + 52500)     = 2,10,000.
46.

In which year was the percentage of production of Company Z to the production of Company Y the maximum?

Answer» The percentages of production of Company Z to the production of Company Z for various years are: For 1996 = 35 x 100 % = 140%. 25 For 1997 = 40 x 100 % = 114.29%. 35 For 1998 = 45 x 100 % = 128.57%. 35 For 1999 = 35 x 100 % = 87.5%. 40 For 2000 = 35 x 100 % = 70%. 50 Clearly, this percentage is highest for 1996.
47.

What is the percentage increase in the production of Company Y from 1996 to 1999?

Answer» Percentage increase in the production of Company Y from 1996 to 1999     = (40 - 25) x 100 % 25     = 15 x 100 % 25     = 60%.
48.

The foreign exchange reserves in 1997-98 was how many times that in 1994-95?

Answer» Required ratio = 5040 = 1.5. 3360
49.

For which year, the percent increase of foreign exchange reserves over the previous year, is the highest?

Answer» There is an increase in foreign exchange reserves during the years 1992 - 1993, 1994 - 1995, 1996 - 1997, 1997 - 1998 as compared to previous year (as shown by bar-graph). The percentage increase in reserves during these years compared to previous year are: For 1992 - 1993 = (3720 - 2640) x 100 % = 40.91%. 2640 For 1994 - 1995 = (3360 - 2520) x 100 % = 33.33%. 2520 For 1996 - 1997 = (4320 - 3120) x 100 % = 38.46%. 3120 For 1997 - 1998 = (5040 - 4320) x 100 % = 16.67%. 4320 Clearly, the percentage increase over previous year is highest for 1992 - 1993.
50.

What is the ratio of the average production of Company X in the period 1998-2000 to the average production of Company Y in the same period?

Answer» Average production of Company X in the period 1998-2000     = 1 x (25 + 50 + 40) = 115 lakh tons. 3 3 Average production of Company Y in the period 1998-2000     = 1 x (35 + 40 + 50) = 125 lakh tons. 3 3 Required ratio = 115 3 = 115 = 23 . 125 3 125 25