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51.

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25%

Answer»

RS. 2000



Let CP is x.
Then

52.

A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is:

Answer»

20 %



20 %

53.

A man sells two tables at the same price. On one he makes a profit of 10% and on the other he suffers a loss of 10%. His loss per cent on the whole transaction is

Answer»

1 % LOSS



1 % loss

54.

Harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?

Answer»

Rs. 1055



COST of 8 kg GRAPES = 70 × 8 = 560.

Cost of 9 kg of mangoes = 55 × 9 = 490.

Total cost he has to PAY = 560 + 490 = 1055.

55.

A person purchased 78 kg of rice at the rate of Rs. 50 per kg He sold 36 kg at a profit of 21%. At what rate per kg should he sell the remaining rice to obtain an overall profit of 28% ?

Answer»

67 kg



Cost PRICE = 78 x 50 = 3900
For 28% PROFIT, selling price = 3900 x 1.28 = 4992
Cost price of 36 kg = 36 x 50 = 1800
Selling price of 36 kg = 1800 x 1.21 = 2178
Remaining rice = 78 - 36 = 42 kg
Selling price of the remaining rice shhould be 4992 - 2178 = 2814
∴ Rate per kg = 2814/42 = 67
ie RS. 67 kg

56.

A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?

Answer»

RS. 3



40*(40/100) = 16 --- 64
? --- 12 => 12*16/64 => Rs.3

57.

What is percentage profit in selling an article at a discount of 20% which was earlier being sold at a 40% profit ?

Answer»

12%



INITIALLY
CP =100 
SP = 140 (SINCE profit = 40 %) 

New PRICE :
CP =100 
SP = 140 - 20% = 112 
MP = 140

Profit % = [(112 - 100 )/100] = 12 % 

58.

Shelly could get equal number of 25 per piece, 40 per piece and 65 per piece bangles. She spent a total of 1560 for all the bangles. How many of each type did she buy?

Answer»

12



Let ‘x’ be the No. of bangles in each TYPE which is EQUAL for all the TYPES

:. 25X + 40x + 65X = 1560

130x = 1560 and x= 12.

59.

If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

Answer»

33.33%



1/4 CP = 210

60.

By selling a watch for Rs. 1140, a man loses 50% in order to gain 5%, the watch must be sold for

Answer»

RS. 1260



Rs. 1260

61.

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his

Answer»

100 %



100 %

62.

The marked price of table is Rs. 3000 and at discounts of 20% & 10%. If there is additional discount of 5% on cash payment, then what is ash price of the table?

Answer»

RS. 2052



Rs. 2052

63.

The marked price of a pen is Rs.60. After allowing a discount 10%, the merchant makes a profit of 20%. What is the cost price of the pen?

Answer»

45 %



The DISCOUNTED price = RS. 54 which is 120% of CP; :. CP = 54 × 100/120 =Rs.45.

64.

There would be 10% loss if rice is sold at Rs. 5.40 per kg. At what price per kg should it be sold to earn a profit of 20% ?

Answer»

Rs. 7.20



Let C.P. per KG be Rs. X then, 
x - 10% of x = 5.40
⇒ x = 6 
∴ Required S.P. = Rs. [6 + 20% of 6] = Rs. 7.20

65.

A dealer sells goods at 6% loss on cost price but uses 14 g instead of 16 g. What is his percentage profit or loss?

Answer»

7(3/7) %



Here a = 6 % , b = 14 G and c = 16

Required answer = [(100-6)(16/14)-100]% = 7(3/7) %

66.

If the profit per cent got on selling an article is numerically equal to its cost price in rupees and the selling price is Rs. 39, then cost price (in Rs.) will be:

Answer»

30



30

67.

The profit earned after selling an article for Rs 350 is the same as half of the loss incurred after selling the article for Rs 260. What is the cost price of the article ?

Answer»

RS. 320



Let the prrofit earned be Rs. X.
350 - x = 260 + 2X
= 3x = 90 = x = 30
Cost price = 350 - 30 = Rs. 320

68.

The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?

Answer»

RS. 6725



CP = SP * (100/(100 + PROFIT%)) 

= 8339(100/124) = Rs. 6725.

69.

A man buys a field of agricultural land for Rs. 3,60,000. He sells one-third at a loss of 20% and two-fifths at a gain of 25%. At what price must he sell the remaining field so as to make an overall p

Answer»

RS. 1,20,000



Rs. 1,20,000

70.

A single discount equivalent to successive discount of 30%, 20% is

Answer»

44 %



(70 * 80)/100 = Rs.56/- 

DISCOUNT = 44 %

71.

If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?

Answer»

1.44% loss



SP of each car is Rs. 325475, he gains 12% on FIRST car and LOSSES 12% on second car.

In this CASE, there will be loss and percentage of loss is given by = [(PROFIT%)(loss%)]/100 = (12)(12)/100 % = 1.44%

72.

A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

Answer»

300%



Let the selling PRICE of each article be Rs. 1. Then, selling price of 100 ARTICLES= Rs. 100, PROFIT on selling 100 articles= Rs. 75, and COST of 100 articles=100-75=Rs.25
Therefore, profit percentage=(75 / 25) X 100=300%

73.

The total cost of 15 pencils and 25 sharpeners is Rs.170. What will be the cost of 57 pencils and 95 sharpeners?

Answer»

Rs. 646



COST of 15 pencils + 25 SHARPENERS = Rs.170

Dividing each term by 5, we get,

Cost of 3 pencils + 5 sharpeners = Rs.34

Multiplying each term by 19, we get

Cost of 57 pencils + 95 sharpeners = 34 x 19 = Rs.646.

74.

Raghavan purchased a scooter at 13/15th of its selling price and sold it at 12% more than its selling price. His gain is

Answer»

29 3/13%



Let the SP = 30000

Then CP = 30000 × 13/15 = 26000

Raghavan’s SP = 30000 +12% 0F 30000 = 33600

So, his actual gain = 7600 and the gain PER cent = 7600 ×100/26000 = 29 3/13%

75.

By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?

Answer»

8



Let S.P. of 12 TOFFEES be Rs. X

Then, 80:1 = 120:x or x = 120/180 = 3/2

For Rs. 3/2, toffees sold = 12.

For Re. 1, toffees sold = 12 * 2/3 = 8

76.

A sells an article to B at a gain of 10% and B sells it to C at a gain of 5%. If C pays Rs.4,620 for it, what did it cost to A?

Answer»

Rs. 4,000



Let the COST PRICE of A be Rs.100, then the selling price =Rs.110.Now, the cost price of B be Rs.110

 Selling price of B =105/100 × 110 100 231 = Rs. 132/2

∴ C.P. of C = 231/2

But the cost price of C as GIVEN = Rs.4,620

If the cost price of C is Rs. 231/2,

then the C.P. of A = Rs.100

If the cost price of C is Rs.4,620 then the

C.P of A=(100 × 2 × 4620)/ 231

= Rs.4,000

77.

A shopkeeper sold some articles @ 35 per article and earned a profit of 40%. At what price each article should have been sold so that 60% profit was earned?

Answer»

40



SP = 140% of CP;

:. CP = 35 × 100/140 = 25

Then, 60% of CP = 2.5 × 6 = 15

To set a PROFIT of 60% the SP = 25 + 15 = 40.

78.

The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:

Answer»

Rs. 500



110% of S.P. = 616

S.P. = (616 * 100)/110 = Rs. 560

C.P = (110 * 560)/112 = Rs. 500

79.

A’ sells an item to “B” at a profit of 40% and “B” sells it to “C” at a profit of 50%. Find the resultant profit percent.?

Answer»

110 %



Let Rs.100 be the CP

A’s SP = Rs.140

B’s SP = Rs.210

Resultant PROFIT = 210 – 100 =110

Resultant profit percent = 110 x 100/100 = 110%

80.

A retailer increase the selling price by 25% due to which his profit percentage increase from 20% to 25%. What is the percentage increase in cost price ?

Answer»

20 %



20 %

81.

By selling a book for Rs. 10, the publisher loses (1/11) of what it costs him. His cost price is:

Answer»

RS. 11



Rs. 11

82.

By selling an article for Rs. 10. Then, the gain per cent is:

Answer»

11 %



11 %

83.

Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?

Answer»

11.11%



900 --- 100
100 --- ? => 100/900*100 => 11.11%

84.

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. what is the loss incurred by ITC ?

Answer»

4%



Loss % = ( COMMON gain or loss / 10 )2 %
= (20 / 10)2 % 
= 4%

85.

A man sells an article at 5% loss. Had he sold it for Rs.60 more he could have gained 10%. What is the cost price of the article?

Answer»

Rs. 400



Short CUT METHOD
Loss =====> 5 % 
PROFIT ====> 10

~

----------------

15 % ---------> Rs.60/-

100 % --------> Rs.400/-

86.

A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?

Answer»

20.98% LOSS




87.

A man buys 10 articles for Rs. 8 and sells them at the rate of Rs. 1.25 per article. His gain is ?

Answer»

56 1/4%



C. P. of 10 articles = Rs. 8
S.P. of 10 articles = Rs. (1.25 x 10) = Rs. 12.50
∴ Gain = (4.5/8) x 100 % = 56 1/4%

88.

A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?

Answer»

RS. 375



CP1 = 100

89.

In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?

Answer»

1:3



NA

90.

A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:

Answer»

less than 20% profit



Let the article be WORTH Rs. X.

C.P. 90% of Rs. x = Rs. 9x/10

S.P. = 110% of Rs. x = Rs. 11x/10

Gain = (11x/10 - 9x/10) = Rs. x/5

Gain % = x/5 * 10/9x * 100 = 22 2/9 % > 20%

91.

Anil bought a T.V with 20% discount on the labeled price . Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the T.V?

Answer»

RS. 10000



Let

92.

The marked price of a watch is Rs 1600. The shopkeeper gives successive discounts of 10% and r% to the customer. If the customer pays Rs 1224 for the watch, find the value of r.

Answer»

15 %



MP of the article = RS. 1600
SP = (100 - 10)% of (100 - r)% of 1600
= 1224 = 9/10 x 100-r/100 x 16
= r = 15%

93.

A bat is bought for Rs. 400 and sold at a gain of 20% find its selling price

Answer»

Rs. 480/-



100 % ------> 400 (100 * 4 = 400) 
120 % ------> 480 (120 * 4 = 480) 

Selling price = Rs. 480/-

94.

If the cost of 1/4th of kg is Rs. 0.60, then what is the cost of 200 gm ?

Answer»

48 paise



1 kg = 1000 grams
∴ 1/4 kg = 1000 / 4 = 250 grams
Now COST for 200 grams = (200 / 250 ) X 60 paise 
= 48 paise

95.

A bought 5 pencils for Rs.4 and sells 4 pencils for Rs.4. The gain per cent in the transaction is

Answer»

20 %



Out of 5 pencils the PROFIT is 1 pencil;'

So, the GAIN per CENT = 1 × 100/5 = 20%

96.

The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?

Answer»

18.18%



13 CP = 11
SP11 --- 2 CP
100 --- ? =>18.18%

97.

A shopkeeper makes a profit of 20% by selling an item at a certain rate. If he charges `8 more on each item, he earns a profit of 60%. What is the cost price of the item ?

Answer»

Rs. 20



Let the COST price be Rs. x.
INITIAL selling price will be X x 120/100 = 6x/5
Now, if he CHARGES Rs. 8 more, then 
6x/5 + 8 = X x 160/100 = 8x/5
6x + 40 = 8x
∴ 2x = 40,
 IE x=20

98.

I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?

Answer»

RS. 280



X*(85/100) = (480 - x)119/100
x = 280

99.

The selling price of 20 items is equal to the pruchas price of 25 items. What is the profit per cent ?

Answer»

25 %



Let the purchase price be Rs 100 per item.
∴ Purchase price of 25 ITEMS = Rs. 2500
SP of 20 items = Rs. 2500
∴ SP of one item = Rs 125
So, CP = Rs 100

100.

By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:

Answer»

8%



Marked PRICE = Rs. 300

C.P. = 100/120 * 300 = Rs. 250

Sale price = 90% of Rs. 300 = Rs. 270

Required GAIN % = 20/250 * 100 = 8%.