- 51. The ratio of cost price of two articles was 2:3, by selling getting the gain 10% and 20% then what is the percentage of gain

**Answer: Option 'A'**

**2:3
2x:3x
10 % of 2x = 10/100 * 2x = x/5
20 % of 3x = 20/100 * 3x = 3x/5
x/5 + 3x/5 = (x+3x)/5 ==> 4x/5
=(4x/5)/5x * 100 = 4x/25x * 100 = 16%
Short cut method:
2:3
200 : 300
in 200 = 10% ---> 20
in 300 = 20% ---> 60
20 + 60 = 80 % gain
= 80/500 * 100 = 16% **

- 52. Sumit bought a car at a certain praice and sold it at Rs.852150 which was 15% more than the original price. What was the price at which Sumit bought the car?

**Answer: Option 'B'**

**SP is 115% of CP
:. CP = 852150 x 100/115 = Rs.741000.**

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

**Answer: Option 'B'**

**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.**

- 54. Gina invests Rs.48000/- to start a business, 4 months later Shrayon joins her by investing Rs.62000/- and another two months later Deepika joins them both by investing Rs.80000/-. At the end of one year thebusiness earns a profit of Rs.20661/-. What is Deepika’s share in the profit?

**Answer: Option 'D'**

**Ratio of investments & Profits
Gina = 48000 x 12 = 36
Shrayon = 62000 x 8 = 31
Deepika = 80000 x 6 = 30
Sum of Ratio =97
:. Share of Deepika = 20661 x 30/97 = Rs.6390.**

- 55. The owner of a furniture shop charges his customers 155 more than the cost price. If a customer paid Rs.9039/- for a sofa set, then what is the cost price of the sofa set?

**Answer: Option 'B'**

**SP = 115% of CP = Rs.9039/-
:. CP = 9039 x 100/115 = Rs.7860/-**

- 56. On selling an item for 276 a person gains 15%. In order to gain 35%, what should be the increase in its selling price?

**Answer: Option 'D'**

**i.e. 115 % of CP = SP = 276
CP = 276 × 100/115 = 240
35% of 240 = 84.
:. Required increase in selling price = 324 – 276 = 48**

- 57. A person sells an item at a profit of 42%. If the customer pays 12496 for that item what is the net profit (in ) of the person?

**Answer: Option 'C'**

**Here, The SP is 142% of the CP;
:. CP = 12496 × 100/142 = 8800.
:. The net profit of the person = 12496 – 8800 = 3696.**

- 58. Manoj incurred a loss of 40% on selling an article for 5700. What was the cost price of the article?

**Answer: Option 'D'**

**Here, the Selling price only 60% of the Cost price;
So, Cost Price = 5700 × 100/60 = 9500.**

- 59. Meenal purchased a car for Rs.250000 and sold it for Rs.348000. What is the percent profit she made on the car?

**Answer: Option 'B'**

**Actual profit = 348000 - 250000 = 98000.
So, the Profit percent = 98000 × 100/250000 = 39.2%**

- 60. A shopkeeper increases the original selling price of an item to its twice. The initial gain per cent is given as 8%. Find out the new gain per cent

**Answer: Option 'B'**

**Let the Cost price = Rs.100
The initial gain per cent = 8%
So, original SP = 108
Twice the SP = 216
Then, the gain = 216 – 100 = 116 i.e. gain per cent = 116%.**

- 61. The cost of 3 chairs and 10 tables is Rs.9856. What is the cost of 6 chairs and 20 tables?

**Answer: Option 'D'**

**Cost of 3 chairs + 10 tables = Rs.9856
Multiplying each term by ‘2’, we get
Cost of 6 chairs + 20 tables = Rs.9856 x 2 = Rs.19712/-**

- 62. A gold bracelet is sold for Rs.13425 at a loss of 25%. What is the cost price of the bracelet?

**Answer: Option 'B'**

**SP i.e. Rs.13425 is 75% of CP
:. CP = 13425 x 100/75 = Rs.17900/-**

- 63. Meena bought two fans for Rs.1200 each. She sold one at a loss of 55 and the other at a profit of 10%. What will be the total profit percent or loss percent?

**Answer: Option 'C'**

**1st SP = 1200 – (5% of it) = 1200 – 60 = Rs.1140.
2nd SP = 1200 – (10% of it) = 1200 + 120 = Rs.1320.
Total SP = Rs.1140 + Rs.1320 = Rs.2460.
Total CP = 2400
Profit = 2460 – 2400 = Rs.60.
Profit percent = 60 x 100/2400 = 60/24 = 2.5%**

- 64. Mr. Baljit purchased 100 pieces of an article at the rate of Rs.480 per piece. He then listed the price so as to gain a profit of 25%. While selling the articles he offered a discount of 5%. What is the percentage of profit earned in the deal?

**Answer: Option 'D'**

**CP = Rs.480
:. Marked SP = Rs.480 + 25 x 480/100 = Rs.480 + 120 = Rs.600.
Actual SP = Rs.600 – 30 = Rs.570.
Profit = 570 – 480 = Rs.90.
Percentage profit = 90 x 100/480 = 18.75%.**

- 65. What would be the cost of building a fence around a cicular plot of area 98.56 sq.ft., if the cost of fencing per foot is Rs.614?

**Answer: Option 'C'**

**Area = 98.56 sq.ft
:. r² = 98.56 x 7/22 = 31.36
:. r = 5.6 ft.
Circumference = 2 x 22 x 5.6/7 = 35.2 ft.
Cost of fencing = 35.2 x 614 = Rs.21612.80.**

- 66. A man buys a cycle at a discount of 15% and sells it for 2550. In this process, he makes a profit of 25%. Find the discount received by him.

**Answer: Option 'C'**

**Man’ SP is 125% of his CP; So, his CP = 2550 × 100/125 = 2040.
2040 is 85% of the actual SP:. The actual SP = 2040 × 100/85 = 2400
:. The discount received by the man = 15% of 2400 = 360.Ans.
( or 2400 – 2040 = 360Ans.)**

- 67. A person sells two fans for 3200. The cost price of the first fan is equal to the selling price of the second fan. If the first is sold at 40% loss and the second at 100% gain, what is total profit or loss?

**Answer: Option 'B'**

**The cost price of 1st
fan and SP of 2nd fan given to be equal, let it be 100.
On 1st fan there is a loss of 40%, So its SP = 60
Gain on 2nd fan is 100%, So, its CP = 50
:. Total cost price of two fans = 100 + 50 = 150
Total SP = 60 + 100 = 160
If total SP =160, then the corresponding cost price = 150
:. When total SP is 3200,
Then the cost price = 150/160 × 3200 = 3000
Profit = 3200 – 3000 = 200.**

- 68. A dishonest dealer sells his goods at the cost price, but he uses a weight of 900 gm for 1kgwt. What is his gain per cent?

**Answer: Option 'C'**

**Let the cost price of 1kg good = 100
He sells for 100, what he got for 90, then his gain =100 – 90 = 10
:. His gain per cent = 10/90×100 = 100/9 = 11 1/9%.**

- 69. A man sold 18 cots for Rs.16800, gaining thereby the cost price of 3 cots. Find the cost price of a cot.?

**Answer: Option 'B'**

**Let the cost of one cot = x
Then CP of 18 cots = 18x; given, SP of 18 cots = 16800
Gain = 3x
i.e. 16800 – 18x = 3x and 21x = 16800; :. x= 800
So, the cost of one cot = 800.**

- 70. 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: Option 'D'**

**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%**

- 71. The cost of 36 Microwaves and 12 Cookers is Rs.84126. What is the cost of 6 microwaves and 2 Cookers?

**Answer: Option 'A'**

**Cost of 36 microwaves + 12 cookers = Rs.84126.
Dividing each term by 6, we get
6 microwaves + 2 colours = Rs.14021.**

- 72. Arun ordered 15 chapatis, 4 plates of rice, 6 plates of mixed vegetables and 5 ice-cream cups. The cost of one chapatti is Rs.5, one plate of rice is Rs.50, one plate of mixed vegetables is Rs.75 and one ice-cream cup is Rs.20. How much amount did Arun pay to the cashier?

**Answer: Option 'C'**

**Total amount = 15 x 5 + 4 x 50 + 6 x 75 + 5 x 20
=75 + 200 + 450 + 100
= Rs.825.**

- 73. The cost of 15 kgs. of Rice is Rs.675. The cost of 12 kgs. of Wheat is Rs.432 and the cost of 8 kgs. of Corn is Rs.224. What is the total cost of 28 kgs. of Rice, 23 kgs. of Wheat and 35 kgs. of Corn?

**Answer: Option 'C'**

**Cost of 1 kg Rice = Rs.45/-
Cost of 1 kg Wheat = Rs.36/-
Cost of 1 kg corn = Rs.28/-
:. Cost of 28 kg Rice + 23 kg Wheat + 35 kg corn = 28 x 45 + 23 x 36 + 35 x 28
= 1260 + 828 + 980 = Rs.3068.**

- 74. If total cost of four tube lights and three bulbs is Rs.260 and the ratio between the cost of a tube light and a bulb is 5:2 respectively, what is the total cost of one tube light and six bulbs?

**Answer: Option 'D'**

**Let the cost of 1 tube light = 5x and that 1 bulb = 2x.
Given 4 X 5x + 3 X 2x = Rs.260
26x = Rs.260. :.x = 10.
:. Cost of 1 tube light = Rs.50.
Cost of 1 bulb = Rs.20
:. 1 tube light + 6 bulbs = 50 + 6 x 20= Rs.170.**

- 75. The cost price of an item is two-third of its selling price. What is the gain/loss percent on that item?

**Answer: Option 'B'**

**SP = x
CP = 2x/3
Profit = x-2x/3 = x/3
Profit percent = x/3 / 2x X 100/3 = x/3 X 3/2x X 100
=100/2 = 50%.**

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