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Profit and Loss - General Questions (2)

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  • Profit and Loss - General Questions
9. 

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

A. Rs. 18.20
B. Rs. 70
C. Rs. 72
D. Rs. 88.25

Answer: Option C

Explanation:

C.P. = Rs. 1-sym-oparen-h1 100 x 392 1-sym-cparen-h1 = Rs. 1-sym-oparen-h1 1000 x 392 1-sym-cparen-h1 = Rs. 320
122.5 1225

 Profit = Rs. (392 - 320) = Rs. 72.

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10. 

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% profit?

A. Rs. 2000
B. Rs. 2200
C. Rs. 2400
D. Data inadequate

Answer: Option A

Explanation:

Let C.P. be Rs. x.

Then, 1920 - x x 100 = x - 1280 x 100
x x

 1920 - x = x - 1280

 2x = 3200

 x = 1600

 Required S.P. = 125% of Rs. 1600 = Rs. 1-sym-oparen-h1 125 x 1600 1-sym-cparen-h1 = Rs 2000.
100
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11. 

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

A. 3
B. 4
C. 5
D. 6

Answer: Option C

Explanation:

C.P. of 6 toffees = Re. 1

S.P. of 6 toffees = 120% of Re. 1 = Rs. 6
5
For Rs. 6 , toffees sold = 6.
5
For Re. 1, toffees sold = 1-sym-oparen-h1 6 x 5 1-sym-cparen-h1 = 5.
6
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12. 

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A. 30%
B. 70%
C. 100%
D. 250%

Answer: Option B

Explanation:

Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295.

 Required percentage = 1-sym-oparen-h1 295 x 100 1-sym-cparen-h1% = 1475 % = 70% (approximately).
420 21
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13. 

If selling price is doubled, the profit triples. Find the profit percent.

A. 66 2/3
B. 100
C. 105 1/3
D. 120

Answer: Option B

Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y - x) = (2y - x)    y = 2x.

Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.

 Profit % = 1-sym-oparen-h1 x x 100 1-sym-cparen-h1% = 100%
x
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14. 

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A. 15
B. 16
C. 18
D. 25

Answer: Option B

Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

1-sym-oparen-h1 20 - x x 100 = 25 1-sym-cparen-h1
x

 2000 - 100x = 25x

125x = 2000

 x = 16.

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15. 

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

A. 4 4/7 %
B. 5 5/11 %
C. 10%
D. 12%

Answer: Option B

Explanation:

Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.

Selling Price (S.P.) = Rs. 5800.

Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.

Gain % = 1-sym-oparen-h1 300 x 100 1-sym-cparen-h1% = 5 5 %
5500 11
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