Practice Questions for Arithmetic - Profit & Loss

1. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

By selling a TV Trolley for Rs 1800 a carpenter loses 10%. Find his cost price

A.
Rs. 1600
B.
Rs. 1608
C.
Rs. 2100
D.
None of these

2. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

SP of an article is Rs. 80 and loss is 20%. Find the cost price

A.
Rs. 48
B.
Rs. 12
C.
Rs. 100
D.
None of these

3. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

By selling a watch for Rs 480 a man gains 20%. Find what would have been his profit or loss percent of he had sold it for Rs. 320

A.
Profit 10%
B.
Loss 10%
C.
Loss 20%
D.
None of these

4. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

By selling oranges for 10 a Rs a man loses 10%. How many for a Rs. he should sell the oranges to gain 80%?

A.
9
B.
7
C.
12
D.
None of these

5. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A fruit seller buys some mangoes at a rate of 20 for Rs. 3 and sells them at rate of 25 for Rs 4. Find his gain or loss%

A.
6.66% profit
B.
1% loss
C.
1.23% loss
D.
None of these

6. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

Two articles are sold at Rs. 1000 each. One at a profit of 30%, while other at a loss of 30%. Find real profit or loss%.

A.
9% gain
B.
9% loss
C.
No profit no loss
D.
None of these

7. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A man bought 2 oranges for Rs. 5 and sells at a rate of 3 for Rs. 7. His real loss % is

A.
$6 \frac{2}{3} %$
B.
$7 \frac{1}{7} %$
C.
$7 \frac{2}{7} %$
D.
None of these

Answer: Option A

Explanation :

Let no. of orange = 6

CP of 2 = 5

∴ CP of 6 = 15

SP of 3 = 7

SP of 6 = 14

∴ Loss% = 1/15 × 100 = $6 \frac{2}{3} %$

Hence, option (a).

Video Solution:

8. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

If selling price of 8 articles is equal to cost price of 10 articles. Find real profit or loss

A.
20% profit
B.
25% profit
C.
30% profit
D.
None of these

9. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

If selling price of 10 articles is equal to cost price of 8 articles. Find real profit or loss%

A.
10% loss
B.
20% loss
C.
30% loss
D.
None of these

10. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

By selling 45m of cloth a merchant gains the cost price of 15m. Find his real profit or loss%

A.
20% profit
B.
40% profit
C.
33.33% profit
D.
None of these

11. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

By selling 33m of a merchant gains the selling price of 11m. Find his real profit or loss%

A.
20% profit
B.
50% profit
C.
60% profit
D.
None of these

12. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A man sold a watch for Rs 75 and got a profit percentage equals to cost price. Find Cost Price of the watch.

A.
Rs. 50
B.
Rs. 60
C.
Rs. 90
D.
None of these

13. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A man bought goods for Rs. 800 and sold half at a gain of 5%. Find at what % gain, he must sell the remaining so as to gain 20% on the whole?

A.
25%
B.
30%
C.
40%
D.
None of these

14. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A boy buys eggs at 18 for Rs. 16 and sells them at 22 for Rs. 20. Find his gain or loss percent?

A.
$7 \frac{1}{11} %$
B.
$2 \frac{3}{11} %$
C.
$2 \frac{5}{11} %$
D.
$7 \frac{2}{11} %$

Answer: Option B

Explanation :

CP : 18 eggs for Rs. 16

⇒ 1 egg for Rs. 16/18

SP : 22 egg for Rs. 20

⇒ 1 egg for Rs. 20/22

= $[(\frac{20}{22} - \frac{16}{18}) / (\frac{16}{18})] \times 100$

= $[(\frac{180 - 176}{198}) / (\frac{16}{18})] \times 100$

= $\frac{4}{198} \times \frac{18}{16} \times 100$ = $\frac{1}{44} \times 100$ = $2 \frac{3}{11}$

Hence, option (b).

Video Solution:

15. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A man buys milk at Rs. 2.40/litre. He adds one third water to it and sells the mixture at RS. 2.88/litre. Find his gain%?

A.
50%
B.
40%
C.
35%
D.
60%

16. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A buys an article and sells it to B at a profit of 10%, B sells it to C gaining 20%. If C gives Rs. 924, what did A give?

A.
Rs. 725
B.
Rs. 700
C.
Rs. 650
D.
Rs. 750

17. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A shopkeeper sold an article at a gain of 25%. If he had paid Rs. 1.75 less for it and sold it at the same price he would have made a gain of 60%. Find the cost price?

A.
Rs. 17.50
B.
Rs. 9.25
C.
Rs. 12.50
D.
Rs. 8

Answer: Option D

Explanation :

Let CP = Rs. x and SP = Rs. 1.25 x

But it is given that, $\frac{1.25 x - (x - 1.75)}{x - 1.75}$ = 0.6

⇒ 0.25 x + 1.75 = 0.6 x – 1.05

⇒ x = Rs. 8

Hence, option (d).

Video Solution:

18. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

I bought two buffaloes for Rs. 1200 and sold one to lose 5% and the other to gain 7% and on the whole I neither lost nor gained. What did each cost?

A.
Rs. 400, Rs. 800
B.
Rs. 600, Rs. 600
C.
Rs. 700, Rs. 500
D.
Rs. 900, Rs. 300

19. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A man buys apples at a certain price per dozen and sells them at eight times per hundred. What does he Gain or Loss %?

A.
4% loss
B.
4% gain
C.
$6 \frac{1}{4}$ % loss
D.
$6 \frac{1}{4}$ % gain

20. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

Arun sold an article to Babu at a profit of 10%. Babu sold it to Chander for Rs. 60.50 and also gained 10%. What did Arun pay for it?

A.
Rs. 45.45
B.
Rs. 55.00
C.
Rs. 50.0
D.
Rs. 56.50

21. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

The manufacturer of a machine sells it to a wholesaler at a profit of 20%. The wholesaler, in turn, sells it to a retailer at a gain of 10%. The retailer sells it to a customer for Rs. 1452 at a gain of 10%. The cost price of the machine for the manufacturer is:

A.
Rs. 870
B.
Rs. 1000
C.
Rs. 1050
D.
Rs. 1200

22. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A manufacturer sells goods to a dealer at 10% profit and the dealer to his customer at 12.5% profit. How much does a customer pay above the original cost of goods purchased by him for Rs. 990?

A.
Rs. 150
B.
Rs. 175
C.
Rs. 190
D.
Rs. 210

23. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

What percent profit is made by selling an article at a certain price if by selling it at half that price there would be a loss at 12.5%?

A.
50%
B.
37.5%
C.
60%
D.
75%

Answer: Option D

Explanation :

Let CP = Rs. x and SP = y

Then,

If SP_new = 0.5 y, Loss% = (x - 0.5y)/x = 0.125 or x – 0.5y = 0.125x

or 0.875 x = 0.5 y ⇒ y = 0.875/0.5 x = 1.75 x

But when, CP = x, SP = y, profit % = (y - x)/x × 100

= $\frac{1.75 x - x}{x} \times 100$ = $\frac{0.75 x}{x} \times 100$ = 75%

Hence, option (d).

Video Solution:

24. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

Oranges are bought at 11 for a rupee and an equal number more at 9 for a rupee. If they are sold at 10 for a rupee what is the gain or loss percent?

A.
no loss, no gain
B.
10% loss
C.
1% loss
D.
5% gain

Answer: Option C

Explanation :

If x be the number of oranges at each of the prices, then,

Total purchase = x/11 + x/9 = (9x + 11x)/99 = 20x/99

Sales revenue = 2x/10 = x/5

% gain = $\frac{\frac{x}{5} - \frac{20 x}{99}}{\frac{20 x}{99}} \times 100$ = $\frac{\frac{99 x - 100 x}{495}}{\frac{20 x}{99}} \times 100$ = $\frac{- x}{495} \times \frac{99}{20 x} \times 100$ = -1 or 1% loss.

Hence, option (c).

Video Solution:

25. CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

A person sold 480 meters of cloth for Rs. 225 gaining thereby the cost of 72 meters. Find his gain percent?

A.
20%
B.
18%
C.
15%
D.
12%

CRE 1 - Profit & Loss | Arithmetic - Profit & Loss

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