51. Parveen bought 80 kg of rice for Rs. 760 and sold it at a loss of as much money as he received for 15 kg rice. At which price did he sell the rice?
A. Rs. 9 / kg
B. Rs. 8 / kg
C. Rs. 8.5 / kg
D. Rs. 10 / kg
E. Rs. 10.6 / kg
Answer & Explanation
Sol : Option B
Let the SP per kg be Rs. x. Total sales = Rs 80x and total loss will be 15x
(i.e. the selling price of 15 kg.). Total Cost Price = Rs. 760.
Now SP + Loss = Cost Price ⇒ 80x + 15x = 760 ⇒ 95x = 760
⇒
x = 760/95 = Rs 8.
52. After selling a watch, Mihir found that he had made a loss of 12 %. He also found that had he sold it for Rs. 45 more, he would have made a profit of 8 %. The actual initial loss was what percentage of the profit earned, had he sold the watch for 8 % profit?
A. 66.67 %
B. 145 %
C. 150 %
D. 160 %
E. 180%
Answer & Explanation
Sol : Option C
As profit and loss are calculated of the same figure i.e. the cost price.
Hence you can straightaway find 12% is what percent of 8% i.e. 100 × 12/8
=150%.
53. The profit earned when an article is sold for Rs. 1050 is 14 times the loss incurred when it is sold for Rs. 375. At what price should the article be sold if it is desired to make a profit of 20 %?
A. Rs. 410
B. Rs. 420
C. Rs. 504
D. Rs. 475
E. Rs. 495
Answer & Explanation
Sol : Option C
If L represents the loss, then 14 L represents the profit and the sum of the
two is difference of the two selling prices. Hence 15L = 1050 – 375 = Rs 675 ⇒ L = 675/15 = Rs45 Since the second
SP = Rs 375, so the CP = 375 + 45 = 420. The SP to have 20% profit is 420 × 1.2
= Rs. 504
54. A man sells an article at a profit of 8 per cent. If the cost price were 10 per cent less and the selling price Rs. 18 less, his profit would have been 15 per cent. Find the cost price of the article.
A. Rs. 430
B. Rs. 450
C. Rs. 220
D. Rs. 380
E. Rs. 400
Answer & Explanation
Sol : Option E
Let CP of the article = 100 ∴ Old SP = 108. New CP = 90. As the profit is 15%,
so the new SP = 90 × 115/100 = 103.5. The difference in
the two selling prices = 108 – 103.5 = Rs 4.5 If
difference in SP is 4.5 then CP = 100, If difference in SP is 18 then CP =
(100/4.5)×18 = Rs 400
55. A dishonest dealer professes to sell his goods at a profit of 15 percent and also weighs 833.33 grams in place of a kg. Find his actual gain percent.
A. 32 % gain
B. 38% gain
C. 42 % gain
D. No gain no loss
E. 40 % gain
Answer & Explanation
Sol : Option B
Uses 833.33 gms instead of 1000 gms
∴
% profit = (1000-833.33/833.33) ×
100 = 20%
Shopkeeper also states that he makes a gain of 15%. There will be a mutual
impact of the two as well. So the formula that can be applied is x + y +
xy/100. Applying that you get the answer as 20 + 15 + (20)(15)/100 = 38%
56. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
· A. 16 2/3%
· B. 20%
· C. 18%
· D. 25%
· Answer & Explanation
Answer: Option B
Explanation:
900 ---- 180
100 ---- ? => 20%
57. An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
· A. 16 2/3%
· B. 30%
· C. 33 1/3%
· D. 33 1/6%
Answer & Explanation
Answer: Option C
Explanation:
675 ---- 225
100 ---- ? => 33 1/3%
58. The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
· A. 18%
· B. 9%
· C. 15%
· D. 6%
Answer & Explanation
Answer: Option A
Explanation:
1500 ---- 270
100 ---- ? => 18%
59. The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
· A. Rs.357
· B. Rs.340
· C. Rs.342
· D. Rs.338
Answer & Explanation
Answer: Option C
Explanation:
400*(90/100)*(95/100) = 342
60. The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
· A. 3%
· B. 4%
· C. 5%
· D. 6%
Answer & Explanation
Answer: Option B
Explanation:
65*(90/100)*((100-x)/100) = 56.16
x = 4%
61. A single discount equivalent to the discount series of 20%, 10% and 5% is?
· A. 25%
· B. 30%
· C. 31.6%
· D. 33.5%
Answer & Explanation
Answer: Option C
Explanation:
100*(80/100)*(90/100)*(95/100) = 68.4
100 - 68.4 = 31.6
62. What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
· A. 20%
· B. 25%
· C. 13 1/30%
· D. 12%
Answer & Explanation
Answer: Option A
Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
63. A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
· A. 10%
· B. 11%
· C. 12%
· D. 15%
Answer & Explanation
Answer: Option C
Explanation:
Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
64. A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
· A. Rs.900
· B. Rs.875
· C. Rs.850
· D. Rs.860
Answer & Explanation
Answer: Option D
Explanation:
CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
65. By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
· A. Rs.38750
· B. Rs.38000
· C. Rs.40000
· D. Rs.42000
Answer & Explanation
Answer: Option B
Explanation:
CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
66. If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
· A. 7
· B. 8
· C. 9
· D. 10
·
Answer & Explanation
Answer: Option B
Explanation:
96% ---- 12
144% ---- ?
96/144 * 12 = 8
67. By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
· A. 20%
· B. 25%
· C. 18%
· D. 30%
Answer & Explanation
Answer: Option B
Explanation:
SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
68. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
· A. 16 2/3% profit
· B. 50/6% profit
· C. 16 2/3% loss
· D. 100/3% loss
Answer & Explanation
Answer: Option C
Explanation:
10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
69. By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
· A. 8
· B. 9
· C. 12
· D. 16
Answer & Explanation
Answer: Option A
Explanation:
80% --- 12
120% --- ?
80/120 * 12 = 8
70. The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
· A. 15 5/15%
· B. 18 2/11%
· C. 16 2/3%
· D. 30%
Answer & Explanation
Answer: Option B
Explanation:
13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
71. By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
· A. 35%
· B. 30%
· C. 40%
· D. 42 6/7%
Answer & Explanation
Answer: Option D
Explanation:
SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
72. Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
· A. Rs.2000
· B. Rs.1980
· C. Rs.1891
· D. Rs.1750
Answer & Explanation
Answer: Option A
Explanation:
(10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
73. A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
· A. 20%
· B. 45%
· C. 44%
· D. 48%
Answer & Explanation
Answer: Option C
Explanation:
g% = 20 + 20 + (20*20)/100
= 44%
74. Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
· A. 14%
· B. 16%
· C. 18%
· D. 22%
· E. None of these
Answer & Explanation
Answer: Option C
Explanation:
Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
Profit(%) = (64900 - 55000)/55000 * 100 = 18%
75. 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?
· A. 11%.
· B. 11 2/9%
· C. 11 1/9%
· D. 10%
Answer & Explanation
Answer: Option C
Explanation:
900 --- 100
100 --- ? => 11 1/9%
76. A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
· A. 20.98% profit
· B. 20.98% loss
· C. 20.89% profit
· D. 20.89% loss
Answer & Explanation
Answer: Option B
Explanation:
81 ---- 17
100 ----- ? è 20.98%loss
77. 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?
· A. Rs.5
· B. Rs.4
· C. Rs.2
· D. Rs.3
Answer & Explanation
Answer: Option D
Explanation:
40*(40/100) = 16 --- 64
? --- 12 => Rs.3
78. A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
· A. Rs.20
· B. Rs.30
· C. Rs.40
· D. Rs.25
Answer & Explanation
Answer: Option C
Explanation:
800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
79. A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
· A. 2 3/2
· B. 2 2/3
· C. 2.5
· D. 3
Answer & Explanation
Answer: Option C
Explanation:
100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 => Rs.2.5
80. A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
· A. 9% loss
· B. 400
· C. 4000
· D. 324
Answer & Explanation
Answer: Option A
Explanation:
(30*30)/100 = 9%loss
81. 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?
· A. Rs.28
· B. Rs.280
· C. Rs.140
· D. Rs.70
Answer & Explanation
Answer: Option B
Explanation:
x*(85/100) = (480 - x)119/100
x = 280
82. 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?
· A. Rs.370
· B. Rs.375
· C. Rs.350
· D. Rs.300
Answer & Explanation
Answer: Option B
Explanation:
CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
75 ----- ? => 375
83. A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
· A. Rs.250
· B. Rs.225
· C. Rs.275
· D. Rs.200
Answer & Explanation
Answer: Option A
Explanation:
CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250
84. 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?
· A. 30%
· B. 33%
· C. 33 1/3%
· D. 35%
Answer & Explanation
Answer: Option C
Explanation:
1/4 CP = 210 SP = 21*(80/100) = 168
SP = 840*(120/100) = 1008
1008 - 168 = 840
3/4 SP = 630
Gain = 210
630 --- 210
100 --- ? => 33 1/3%
85. A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
· A. 75%
· B. 50%
· C. 100%
· D. 80%
Answer & Explanation
Answer: Option C
Explanation:
MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
86. At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
· A. Rs.62.50
· B. Rs.72.50
· C. Rs.75.00
· D. Rs.80.00
Answer & Explanation
Answer: Option A
Explanation:
CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(95/100) = 59.375
MP = 62.5
87. A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
· A. Rs.600
· B. Rs.500
· C. Rs.250
· D. Rs.700
Answer & Explanation
Answer: Option A
Explanation:
Cost price = Rs.500
profit = 20% of 500 = Rs.100
Selling price = Cost price + Profit
= 500 + 100 = 600
88. By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
· A. Rs.350
· B. Rs.400
· C. Rs.573
· D. Rs.480
Answer & Explanation
Answer: Option D
Explanation:
SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+25)]
= 600 * [100/125] = Rs.480
89. By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
· A. Rs.600
· B. Rs.480
· C. Rs.500
· D. Rs.450
Answer & Explanation
Answer: Option B
Explanation:
SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 25% = 25% of 640 = Rs.160
SP = CP - Loss = 640 - 160 = Rs.480
90. A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
· A. neither profit nor loss
· B. 1%
· C. 2%
· D. 3%
Answer & Explanation
Answer: Option A
Explanation:
Profit on first article = 20% of 1000 = 200.
This is equal to the loss he makes on the second article. That, is he makes
neither profit nor loss.
91. A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
· A. neither profit nor loss
· B. 3%
· C. 5%
· D. 4%
Answer & Explanation
Answer: Option D
Explanation:
SP of first article = 1000
Profit = 20%
CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = (SP)*[100/(100-L)] = 5000/4 = 1250
Total SP = 2000
Total CP = 2500/3 + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent = [(250/3)/(6250/3)]*100 =
0.04 * 100 = 4%
92. A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
· A. 20%
· B. 28%
· C. 33 1/3 %
· D. 35 2/7 %
Answer & Explanation
Answer: Option C
Explanation:
The total number of mangoes bought by the shopkeeper be 12.
If he buys 4 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 4
Profit = SP - CP = 4 - 3 = 1
Profit Percent = 1/3 * 100 = 33 1/3 %
93. A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
· A. 855 1/2 grams
· B. 833 1/3 grams
· C. 833 1/2 grams
· D. 875 2/7 grams
Answer & Explanation
Answer: Option B
Explanation:
If the cost price is Rs.100, then to get a profit of 20%, the selling
price should be Rs.120.
If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of
20%.
How many grams he has to give instead of one kilogram(1000 gm).
120 gm ------ 100 gm
1000 gm ------ ?
(1000 * 100)/120 = 2500/3 = 833 1/3 grams.
94. 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?
· A. Rs. 5725
· B. Rs. 5275
· C. Rs. 6275
· D. Rs. 6725
· E. None of these
Answer & Explanation
Answer: Option D
Explanation:
CP = SP * (100/(100 + profit%))
= 8339(100/124) = Rs. 6725.
95. A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
· A. 30%
· B. 35%
· C. 40%
· D. 45%
· E. None of these
Answer & Explanation
Answer: Option C
Explanation:
The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150
Profit(%) = (31150 - 22250)/22250 * 100 = 40%
96. A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
· A. Rs. 80
· B. Rs. 85
· C. Rs. 90
· D. Rs. 95
· E. None of these
Answer & Explanation
Answer: Option C
Explanation:
SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90.
97. A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
· A. Rs. 150
· B. Rs. 144
· C. Rs. 138
· D. Rs. 132
· E. None of these
Answer & Explanation
Answer: Option B
Explanation:
Given that SP = Rs. 102 and loss = 15%
CP = [100(SP)]/(100 - l%) = (100 * 102)/85 = 20 * 6 = Rs. 120.
To get 20% profit, New SP = [(100 + p%)CP]/100 = (120 * 120)/100 = Rs. 144
98. If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
· A. Rs. 1505
· B. Rs. 1510
· C. Rs. 1500
· D. Rs. 1490
· E. None of these
Answer & Explanation
Answer: Option C
Explanation:
Let the cost price of an article be Rs. x.
(19% of x) - (12% of x) = 105
19x/100 - 12x/100 = 105 => 7x = 105 * 100
=> x = 1500
Cost price = Rs. 1500
99. Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
· A. Rs. 135
· B. Rs. 162
· C. Rs. 189
· D. Rs. 198
· E. None of these
Answer & Explanation
Answer: Option C
Explanation:
CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.
100. Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
· A. Rs. 258
· B. Rs. 270
· C. Rs. 277.5
· D. Rs. 285
· E. None of these
Answer & Explanation
Answer: Option D
Explanation:
Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = Rs. 285.
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