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1.

?% of 800 = 293 – 22% of 7501). 142). 183). 124). 16

Answer»

Given EXPRESSION is,

?% of 800 = 293 – 22% of 750

⇒ ?% of 800 = 293 – (22/100) × 750

⇒ ?% of 800 = 293 – 165

⇒ (?/100) × 800 = 128

⇒ ? = (128 × 100)/800

⇒ ? = 16
2.

What is 18% of 45% of 3/8th of8160?1). 2189.282). 76503). 247.864). 436.37

Answer»

ALWAYS START from the innermost calculation.

LET 3/8th of8160 be 'X'

∴ X = (3/8) × 8160 = 3060

We need to find 45%of'X'. Let the ANSWER to this be 'Y'

∴Y = (45/100) × 3060 = 1377

We need to find 18%of 'Y'. Let the answer to this be 'Z'

∴ Y = (18/100) × 1377 = 247.86

∴ The answer is 247.86

3.

1). 3602). 2803). 2004). 250

Answer»

50% of ? = 124 - 24

50% of ? = 100

? = 200

4.

1). 40 m2). 45 m3). 48 m4). 50 m

Answer»

TOTAL height of the tree is = 200 m

In one jump monkey can climb = 20% of the total height of the tree = 20% of 200 m = 40 m

But the monkey will slip down 60% of the height he had jumped = 60% of 40 = 24 m

Effective height climbed by monkey in one jump = 40 – 24 = 16 m

∴ Total height climbed by monkey in 3 JUMPS will be = 16 × 3 = 48 m

5.

A shopkeeper distributes salaries to his employees P and Q. Total money he distributes to both of them is Rs. 9850, as he adds Rs. 500 to P's salary and Rs. 350 to Q's salary as a bonus, then the ratio of the salary of P to the salary of Q is 90 : 107. Then, what is difference between the original salaries of Q and P?1). Rs. 20002). Rs. 9003). Rs. 10004). Rs. 1200

Answer»

<P>Given,

BONUS amount of P = 500

Bonus amount of Q = 350

Let the original Salary of P and Q be Rs. P and Rs. Q respectively.

Total money he distribute to both after bonus = 9850

⇒ P + 500 + Q + 350 = 9850

⇒ P + Q = 9000

Given,

The RATIO between salary of P and salary of Q is 90 : 107 after bonus.

⇒ (P + 500)/(Q + 350) = 90/107

⇒ 107P + 53500 = 90Q + 31500

⇒ 90Q - 107P = 22000

Solving equation,

⇒ 90Q + 90P = 810000

⇒ 90Q - 107P = 788000

Subtracting above equation,

⇒ 197P = 788000

⇒ P = 4000

Then,

⇒ P + Q = 9000

⇒ Q = 5000

Difference in original salaries of P and Q

= 5000 - 1000

= 4000

∴ Difference in original salaries of P and Q is Rs. 1000.
6.

A shopkeeper had some jeans, out of which he sells 12 % jeans and still has 44 jeans remaining. If he had 25% of total clothes are jeans than what is the number of clothes other than jeans?1).2). 953). 604). 75

Answer»

Let the total number of clothes = x

No of jeans $(= \;x \times \frac{{25}}{{100}} = \frac{1}{4}x)$

After selling 12% jeans, remaining jeans $(= \;\frac{1}{4}x - \frac{1}{4}x \times \frac{{12}}{{100}} = \frac{x}{4} - \frac{{3x}}{{100}} = \frac{{25X\; - \;3x}}{{100}} = \frac{{22x}}{{100}})$

Remaining jeans $(= \frac{{22x}}{{100}} = 44)$

⇒ 22x = 44 × 100

$(\Rightarrow {\RM{\;}}\frac{{44 \times 100}}{{22}} = 200)$

Number of Jeans $(= \;200 \times \frac{{25}}{{100}} = 50)$

Number of clothes other than jeans = 200 – 50 = 150
7.

If 30% of a number exceeds 20% of the number by 18 then, Find the number.1). 1202). 2003). 1804). 150

Answer»

LET the NUMBER be X

⇒ 30% of X = 30 X/100

20% of X = 20 X/100

Given that,

⇒ (30 X/100) – (20 X/100) = 18

⇒ X = 180
8.

Annual income of Sameer is 8 lakh Rs. He spent 15% on Rent, 20% on Food and \(\frac{7}{{13}}\) of remaining on Cloth and travel together. Find the difference between total saving and amount spent on travel annually, if ratio between amount spent on Cloth to travel is 9 : 5.1). Rs. 1250002). Rs. 1650003). Rs. 1400004). Rs. 175000

Answer»

ANNUAL income = Rs. 800000

∴ Expenditure on rent = Rs. 800000 × 15/100 = Rs. 120000

∴ Expenditure on FOOD = Rs. 800000 × 20/100 = Rs. 160000

∴ Remaining = Rs. [800000 - (120000 + 160000)] = Rs. 520000

∴ Expenditure on CLOTH and travel = Rs. 520000 × 7/13 = Rs. 280000

Ratio between amount SPEND on Cloth to travel = 9 ? 5

∴ Expenditure on travel = Rs. 280000 × 5/(9 + 5) = Rs. 100000

∴ Total savings = Rs. (520000 - 280000) = Rs. 240000

∴ Required difference = Rs. (240000 - 100000) = Rs. 140000
9.

In a college election between two rivals, a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was1). 9002). 8003). 7004). 600

Answer»

LET total number of VOTES polled = 100m.

Then number of votes the LOSING candidate got = 40% of 100m

⇒ $(400/100) × 100 m = 40m

Number of votes the winning candidate got = 100m – 40m = 60m

DIFFERENCE = 60m – 40m = 20m

We are given that the difference of winning is 160 votes.

⇒ 20m = 160

⇒ m = 160/20

⇒ m = 8

∴ T$otal number of votes polled = 100m

⇒ 100 × 8 = 800

10.

If 1 is added to 30% of a number and the result so obtained is divided by 7, the output is 103. Find the original number.1). 35002). 36003). 32004). 2400

Answer»

LET the number be X

(1 + 0.3x)/7 = 103

1 + 0.3x = 721

0.3x = 720

x = 2400

11.

Seven litre of water was mixed to 11 litres of sugar solution containing 18% of sugar. What is the percentage of sugar in the solution?1). 102). 113). 184). Insufficient data

Answer»

GIVEN, seven LITRE of WATER was mixed to 11 litres of sugar SOLUTION containing 18% of sugar.

Amount of sugar in 11 litre solution = 18% of 11 = 1.98 litres

Given,

Water added to the solution = 7 litres

∴ Total solution = 7 + 11 = 18 litres

∴ Percentage of sugar in 18 litres = (1.98/18) × 100 = 11%

12.

The production of a company A increased by 25% from 1994 to 1995, and its production further increased by 60% from 1995 to 1996. What is the total percent increase in production of the company from 1994 to 1996?1). 85%2). 90%3). 100%4). Cannot be determined

Answer»

<P>Percent increase in PRODUCTION of the company from 1994 to 1995 = 25%;

Percent increase in production of the company from 1995 to 1996 = 60%;

∴ Required NET percent increase from 1994 to 1996 = {25 + 60 +(25 × 60)/100}%

⇒ $(85 + 15)% = 100%

∴ P$roduction of the company is INCREASED from 1994 to 1996 by 100%.
13.

1). 16.38%2). 24.03%3). 28.17%4). 25.75%

Answer»

We know that, total cost = price of raw materials +labor cost

Assume that, INITIAL price of raw materials = R

Initial labor cost = 25% of the cost of raw material = 0.25 × R

∴total cost =R + 0.25 × R = 1.25 × R

Now, the cost of raw material increases by 15%.

Thus, new price of raw materials = R + (15% of R) = 1.15 × R

New labor cost = 30% of 1.15R = 0.3 × 1.15R = 0.345R

∴New total cost = new price of raw materials + new labor cost

⇒New total cost = 1.15R + 0.345R = 1.495R

Total increase in total cost = 0.245 × R

Percentage reduction REQUIRED = $(\frac{{0.245{\rm{\;}} \times {\rm{\;R}}}}{{1.495{\rm{\;}} \times {\rm{\;R}}}} \times 100 = 16.38\% )$
14.

There are 4250 employees in an organization. Out of which 4% got retired and 48% got transferred to different places. How many employees remained in the office?1). 21502). 22403). 20404). 2044

Answer»

There are 4250 employees in an ORGANIZATION. Out of which 4% got retired and 48% got transferred to different places

So, Total (48 + 4) % = 52% employees LEFT the organization

So, remaining employees = 100% - 52% = 48%

Remaining employees = 48% of 4250

$(= {\rm{\;}}\frac{{48}}{{100}}\; \times 4250)$

= 2040
15.

Mr. Prakash invests 24% of her monthly salary, i.e. Rs. 12,024 in Insurance Policies. Later he invests 15% of his monthly salary on Family Med claim Policies; also he invests another 17% of his salary on Mutual Funds. What is the total annual amount invested by Mr. Prakash?1). Rs. 2,35,0502). Rs. 3,50,1003). Rs. 3,42,5504). Rs. 3,36,672

Answer»

Let the total monthly salary of Mr. PRAKASH = Rs. x

Given: 24% of x = Rs. 12,024

Thus, (24/100) × x = 12024

∴ x = Rs. 50,100

Total monthly salary of Mr. Prakash = Rs. 50,100

He also invested 15% on family med claim and 17% on MUTUAL Funds.

Thus, total INVESTMENTS = (24 + 15 + 17) % of 50100

= 56 % of 50100

= (56/100) × 50100

= Rs.28056

Thus, total ANNUAL amount invested by Mr. Prakash = 12 × 28,056 = Rs. 3,36,672.
16.

1). 102). 213). 94). 27

Answer»

FOLLOW BODMAS RULE to solve this QUESTION, as per the order given below,

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2: Any MATHEMATICAL 'Of' or 'Exponent' must be solved next,

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

⇒ 7.5% of 600 + 11.6 = 72 + (0.4 × ?)

⇒ (7.5/100) × 600 + 11.6 = 49 + (0.4 × ?)

⇒ 45 + 11.6 = 49 + (0.4 × ?)

⇒ 56.6 – 49 = (0.4 × ?)

⇒ 7.6 = 0.4 × ?

⇒ ? = 19

17.

Aman's expense is 30% more than Vimal's expense and Vimal's expense is 10% less than Raman's expense. If the sum of their expenses is Rs. 6447, then what would be the Aman's expense?1). Rs. 2200 2). Rs. 24573). Rs. 18904). Rs. 2100

Answer»

LET expenses of AMAN, VIMAL and Raman be Rs. m , Rs. p and Rs. N respectively.

Given,

⇒ m = p + p × 30/100

⇒ m = 13p/10

⇒ p = 10m/13

Given,

⇒ p = n – n × 10/100

⇒ p = 9n/10

As,

⇒ 10m/13 = 9n/10

⇒ n = 100M/117

Given,

⇒ m + n + p = 6447

⇒ m + 10m/13 + 100m/117 = 6447

⇒ 117m + 90m + 100m = 6447 × 117

⇒ 307m = 6447 × 117

⇒ m = 2457

∴ Aman expenses is Rs. 2457
18.

Total salary of A, B and C is Rs. 86000. Salary of A is 40% less than salary of B and salary of C is Rs. 5000 less than salary of B. Salary of A is what percent of salary of C?1). 77.77%2). 70%3). 19.99%4). 33%

Answer»

Let salary of A, B and C be RS. A, Rs. B and Rs. C respectively.

Given,

⇒ A + B + C = 86000

Given,

Salary of A is 40% less than salary of B.

⇒ A = B - B × (40/100)

⇒ A = 3B/5

Salary of C is Rs. 5000 less than salary of B.

⇒ C = B - 5000

Solving equation,

⇒ 3B/5 + B + B - 5000 = 86000

⇒ 13B - 25000 = 86000

⇒ 13B = 455000

⇒ B = 35000

Salary of A = 35000 × 3/5 = 21000

Salary of C = 35000 - 5000 = 30000

Required percentage

= (21000/30000) × 100

= 70%

∴ Salary of A is 70% of salary of C.
19.

45% of one-fourth of 50% of price of a mobile is the price of a pen drive. If price of the pen drive is 360. The price of the mobile in Rs. is1). 64002). 57603). 48004). 7200

Answer»

Let, The price of the mobile is Rs. X

45% of one-fourth of 50% of x is

$(= \frac{{45}}{{100}} \times \frac{1}{4} \times \frac{{50}}{{100}} \times x)$

= 9x/160

According to the question,

9x/160 = 360

⇒ x = 40 × 160

⇒ x = 6400

20.

1). 562). 683). 724). 84

Answer»

Marks secured = 86.4% of 500 = 86.4/100 × 500 = 432

Marks secured in Mathematics = 22.22% of 432 ≅ 96

Remaining marks = 432 - 96 = 336

Marks secured in Science = Marks secured in English = 25% of 336 = 0.25 × 336 = 84

Remaining marks = 336 - (84 + 84) = 168

? Equal marks are secured in Hindi, COMPUTERS and ARTS,

∴ Marks secured in Hindi = 168/3 = 56

21.

1). 100%2). 120%3). 160%4). 200%

Answer»

Let the NUMBER of visitors initially be x. Thus, the total SALE = Rs. 100x

Now the ENTRY fee is reduced to 60%. Thus, new entry fee = Rs. 60

The sales are increased by 20%. Thus, new sales = 100x + 20% of 100x = 120x

New number of visitors = 120x/60 = 2x

% INCREASE in the number of visitors = [(2x - x)/x] × 100 = 100%

Hence, there is 100% increase in the visitors. 

22.

1). Rs. 75002). Rs. 60003). Rs. 66004). Rs. 7200

Answer»

Let X be any integer such that 7x and 4x be the earnings of A and B respectively.

According to the QUESTION, new earnings of A = (100 - 20)% of 7x

And new earnings of B = (100 + 25)% of 4x

The ratio of the new earnings = 5 : 3

So, (80% of 7x)/ (125% of 4x) = 5/3

Since the information is not enough to CALCULATE the expenditure of either A or B. Hence, the expenditure cannot be determined.

23.

1). 9.375%2). 9.5%3). 10%4). 10.5%

Answer»

ACTUAL price of the PRODUCT before discount = Rs. (29 + 3) = Rs. 32

⇒ Price after discount = Rs. 29

SAVINGS = Actual Price - Purchase Price

⇒ Percentage Savings = [(Actual Price - Purchase Price)/Actual Price] × 100%

⇒ [(32 – 29)/32] × 100%

⇒ (3/32) × 100%

⇒ 75/8%

⇒ 9.375%

∴ % savings = 9.375%

24.

Salary of A is Rs. 15000 and his savings percentage is 12% and the rest is the expenditure. Due to slack in the company, the salary of A is decreased by 2% but his expenditure increased by 2%. By how much percent his savings are down due to slack?1). 13.67%2). 10%3). 45.67%4). 31.33%

Answer»

Given,

Salary of A = RS. 15000

Savings percentage = 12%

Expenditure percentage = 88%

Expenditure amount he SPEND = 15000 × 88/100 = 13200

His savings = 15000 - 13200 = 1800

Due to slack,

Reduction in salary by 2%.

New salary after reduction = 15000 - 15000 × 2/100

= 14700

His expenditure INCREASED by 2%.

New expenditure = 13200 + 13200 × 2/100 = 13464

His new savings due to slack = 14700 - 13464 = 1236

Percentage change in savings

= {(1800 - 1236)/1800} × 100

= 31.33%
25.

1). 63002). 56003). 48004). 4900

Answer»

Let the number be ‘x’.

$(x \times \FRAC{{36}}{{100}} \times \frac{4}{7} \times \frac{{25}}{{100}} = 288 \RIGHTARROW x = \frac{{288\; \times \;100\; \times \;7\; \times \;100}}{{25\; \times \;4\; \times \;36}} = 5600)$

∴ x = 5600
26.

1). 200/72). 300/73). 504). 500/7

Answer»

<P>P + Q will be positive. SINCE P is greater than Q, (P - Q) will be TAKEN into EQUATION as it will be positive.

Here, P + Q = (P - Q) × (1 + 30/100)

⇒ 0.3P = 2.3Q

⇒ P = (2.3/0.3)Q

⇒ P = (23/3)Q = Q × (1 + 20/3) = Q × (1 + (2000/3)/100)

∴ P is greater than Q by (2000/3)%

27.

1). 405.12). 450.63). 835.64). 658.5

Answer»

Given,

40% of m = N

⇒ (40/100)m = n

⇒ 2m/5 = n

⇒ 2m = 5n

60% of n = 180

⇒ (60/100) × n = 180

3N/5 = 180

⇒ 3n = 900

n = 300

2m = 5 × 300

m = 1500/2 = 750

(m - n) = (750 - 300) = 450

85% of (m - n) = (85/100) × (450) = 382.5

28.

1). 2.42). 3.23). 2.84). 4

Answer»

We know that,

Revenue = PRICE × SALES

Let old price and sales be P and Q, respectively

Old revenue = PQ

NEW price = P × (1 + 10/100) = 1.1P

∴ New sales = Q × (1 - 12/100) = 0.88Q

New revenue = (1.1P)(0.88Q) = 0.968PQ

PERCENTAGE by which revenue has decreased = [(PQ - 0.968PQ)/PQ] × 100 = 3.2%

29.

A fruit seller bought some pineapples of which 12% of then were rotten. He sold 60% of the balance and was left with 176 pineapples. How many pineapples did he have originally?1). 2002). 1503). 6004). 500

Answer»

Now take initial number of pineapples = x.

Then

⇒ x × (100 − 12)% × (100 − 60)% = 176

⇒ x = 176/{(88)% × (40)%}

⇒ (176 × 100 × 100) / (88 × 40)

= 500 pineapples was there originally.
30.

Every day, the flowers in a garden increase by 50%. At the end of every day, 40 flowers are picked from the garden. Due to this, the number of flowers in the garden remains constant every morning. How many flowers can be found in the garden on any morning?1). 602). 723). 804). 90

Answer»

LET the NUMBER of flowers in garden on any morning be N.

Every day, the flowers in a garden INCREASE by 50%. At the end of every day, 40 flowers are picked from the garden.

Due to this, the number of flowers in the garden remains CONSTANT every morning.

⇒ N(1 + 50/100) – 40 = N

⇒ 0.5N = 40

⇒ N = 80

∴ The number of flowers in garden on any morning is 80.
31.

An x litres solution contains x% acid. If y litres of water is added to the solution to reduce the acid percentage to (x – 10)%, determine the value of y.1). x2/1002). 10x/(x – 10)3). 10x/(x + 10)4). 10x2/(x – 10)

Answer»

X litres of SOLUTION of x% acid

⇒ x/100 × x = x2/100 acid in solution(1)

New solution = x + y litres

% of acid = [(x2/100)/(x + y)] × 100 = x – 10

x2/(x + y) = x – 10

x2 = x2 – 10x + XY – 10y

y = 10x/(x – 10)
32.

Quantity B: 751). Quantity A > Quantity B2). Quantity A ≥ Quantity B3). Quantity B > Quantity A4). Quantity B ≥ Quantity A

Answer» QUANTITY A:$

Maximum marks for all the three SUBJECTS = 100 + 100 + 120 = 320

Marks scored by Cavani in all the three subjects = 75% of 320 = 240

Marks scored by Cavani in ENGLISH = 240 - 80 - 70 = 90

Percentage scored in English = 90 x 100/120 = 75%

∴ Percentage scored in English = 75%

Quantity B: 75
Quantity A = Quantity B
33.

1). 22). 1.53). 2.254). 1.25

Answer»

⇒ 12.5% of 360 + ? × 4 = 34% of 150

$(\Rightarrow \FRAC{{12.5}}{{100}} \times 360 + ? \times 4 = \frac{{34}}{{100}} \times 150)$

⇒ 45 + ? × 4 = 51

⇒ ? × 4 = 51 - 45

⇒ ? = 6/4

⇒ ? = 1.5

34.

The net sales of an organization in year 2013 is ‘X’. Net sales decrease by 20% in 2014 and increase by 40% in 2015 as compared to the sales in previous years. If the variation in sales in 2016 is equal to the average variation in 2014 and 2015, then find the sales in 2016 in terms of X.1). 1.06X2). 1.12X3). 1.18X4). X

Answer»

NET sales in 2013 = X

Net sales in 2014 = 20% less than sales in 2013 = 0.8 × X

Variation in 2014 = Net sales in 2014 – Net sales in 2013 = -0.2 × X

Net sales in 2015 = 40% more than sales in 2014 = 1.4 × 0.8 × X = 1.12 × X

Variation in 2015 = Net sales in 2015 – Net sales in 2014 = 1.12X – 0.8X = 0.32X

Variation in 2016 = (Variation in 2014 + Variation in 2015)/2 = (-0.2X + 0.32X)/2 = 0.12X/2 = 0.06X

Net sales in 2016 = Net sales in 2015 + Variation in 2016 = 1.12X + 0.06X = 1.18X