**Arithmetic Questions Profit and Loss Questions set 1-** Check out some given below latest profit and loss arithmetic questions and answers to test your knowledge on the arithmetic problems.

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### Arithmetic Questions- Profit and Loss Questions set 1:

**1. Aman buys an article Rs. 25.50 and sells it for Rs.28.60. Find his gain percent?**

(b) 10%

(c) 16%

(d) 9%

**2. Mohan bought a bicycle for Rs. 750 and sold it for Rs. 675. Find hid loss percentage?**

(b) 18%

(c) 16%

(d) 10%

**3. By selling a book for Rs. 115.20, a man loses 10% At what price should he sell it to gain 5%?**

(b) Rs.142.56

(c) Rs.132.34

(d) Rs.156.32

**4. Six tables and nine chairs cost Rs. 9,900. If three tables cost Rs. 2700. What is the cost price of one chair?**

(b) Rs.500

(c) Rs.450

(d) Rs.380

**5. By selling 11 oranges for a rupee, a man loses 10%. How many for a rupee should he sell to gain 10%?**

(b) 12 oranges

(c) 8 oranges

(d) 11 oranges

**6. If the selling price of 10 articles is the same as the cost price of 11 articles, then find gain percentage?**

(b) 15%

(c) 10%

(d) 13%

**7. A dishonest dealer professes to sell his goods a cost price but uses a weight of 960 gms for a kg weight. Find his gain percentage?**

(b) 6\frac { 1 }{ 5 } %

(c) 8\frac { 2 }{ 7 } %

(d) 2\frac { 1 }{ 5 } %

**8. A merchant bought 200 eggs, out of which 38 were broken. He sold the remaining eggs at the rate of Rs. 4.80 per dozen and thus gained 8%. Find his total investments?**

(b) Rs.60

(c) Rs.34

(d) Rs.50

**9. A shopkeeper sells 10 apples for a rupee gaining there by 40%. How many apples did he buy for a rupee?**

(b) Rs.16

(c) Rs.18

(d) Rs.14

**10. A man sells an article at a profit of 20%. If he brought it at 20% loss sold it for Rs. 5 less he would have gained 25%. Find the cost price of the article?**

(b) Rs.18

(c) Rs.25

(d) Rs.20

**11. By selling 40 articles gained the S.P of 8 articles. Find the percentage gain?**

(b) 25%

(c) 34%

(d) 20%

**12. A man sold two houses for Rs. 375890 each. On one he gains 15% and the other be the loss 15%. How much he gain or loss in the whole transaction?**

(b) 3.56%

(c) 5.68%

(d) 6.25%

**13. A man purchases two books at Rs. 300 each. He sells one at a gain of 10% and the other at a loss of 10%. Find the overall loss or gain in percentage?**

(b) 20% loss

(c) No gain & loss

(d) 15% gain

**14. By selling an article for Rs. 100, one gain Rs. 10 . Find out the gain percentage?**

(b) 11\frac { 1 }{ 9 } %

(c) 14\frac { 1 }{ 4 } %

(d) 17\frac { 1 }{ 4 } %

**15. If a commission of 10% is given on the written price of an article, the gain is 30%. Find the gain percentage if the commission is increased by 10%?**

(b) 5.64%

(c) 7.23%

(d) 3.74%

**16. The original price of a T.V set is Rs. 9000. The T.V price is discounted by 20% and then raised by 10%. What is its new price?**

(b) Rs. 7920

(c) Rs. 8924

(d) Rs. 7624

**17. Find the single discount equivalent to a series of discount of 20%, 10% and 5%?**

(b) 56.32%

(c) 53.64%

(d) 63.36%

**18. A wine merchant buys 10 casks of wine. If he sells his wine at Rs. 5 a litre he loses Rs. 200, while selling it at Rs. 6 he would gain Rs. 150 on the whole. Find the number of litres in the cask.**

(b) 35 litres

(c) 27 litres

(d) 30 litres

**19. A shopkeeper buys two varieties of tea, one variety costs him Rs. 26 per kg. and other Rs. 30.50 per Kg. he mixes them in the ratio of 3:4 and sells the blended variety of tea at the rate of Rs. 36 per kg. find his gain percentage?**

(b) 32%

(c) 40%

(d) 20%

**20. A man sold an article for Rs. 144 and got a percentage of profit equal to the C.P. Find the C.P of the article?**

(b) 62

(c) 80

(d) 82

**21. The cost price of 16 articles is equal to the selling price of 12 of them. The gain or loss percentage in the transaction is**

(b) 23\frac { 1 }{ 3 } %\quad gain

(c) 33\frac { 1 }{ 3 } %\quad gain

(d) 23\frac { 1 }{ 3 } %\quad loss

**22. The market price of a watch is Rs.800. A shopkeeper gives two successive discounts and sells the watch at Rs. 612. If the first discount is 10%, then the second discount is**

(b) 20%

(c) 15%

(d) 10%

**23. If a person sells a ‘sari’ for Rs. 5200, making a profit of 30%, then the cost price of the sari is**

(b) Rs. 4000

(c) Rs. 3900

(d) Rs. 3800

**24. Two bicycles were sold for Rs. 3990 each, gaining 5% on one and losing 5% on the other. The gain or loss percentage on the whole transaction is**

(b) 2.5% gain

(c) 2.5% loss

(d) 0.25% loss

**25. If the selling price of 40 articles is equal to the cost price of 50 articles, then the loss or gain percentage is**

(b) 20% loss

(c) 25% gain

(d) 20% gain

### Arithmetic questions and answers – Profit and Loss Questions set 1 Answers:

#### Question 1:

Correct answer: Option(b)

C.P = Rs. 27.50, S.P = Rs. 28.60

∴ Gain = 28.60 – 27.50 = Rs. 1.10

∴ Gain = \left( \frac { 1.10 }{ 27.50 } \times 100 \right)% = 10%

#### Question 2:

Correct answer: Option(d)

C.P = Rs.750, S.P = Rs. 675

Loss = 750 – 675 = Rs. 75

Loss% = \left( \frac { 75\times 100 }{ 750 } \right) % = 10%

#### Question 3:

Correct answer: Option(a)

Let the new S.P be Rs. x

(100 – loss% ) : ( 1^{st} S.P ) = ( 100 + gain% ) : ( 2^{nd} S.P )

\frac { 100-10 }{ 115.20 } = \frac { 100+5 }{ x } = \frac { 105 \times 115.20 }{ 90}

∴ New S.P = Rs. 134.40

#### Question 4:

Correct answer: Option(b)

Cost of six tables = \frac { 2700 }{ 3 } \times 6 = Rs. 5400

Cost of 9 chairs = (9900-5400) = Rs. 4500

∴ Cost of one chair = \frac { 4500 }{ 9 } = Rs. 500

#### Question 5:

Correct answer: Option(a)

S.P of oranges = Rs.1/11

∴ 90% of C.P = 1/11

So, new S.P of one orange is 110% of C.P = \frac { 1 }{ 11 } \times \frac { 100 }{ 90 } \times \frac { 110 }{ 100 } = Rs. \frac { 1 }{ 11 }

So, he must sell 9 oranges for a rupee.

#### Question 6:

Correct answer: Option(c)

Let C.P of each article Rs. 1

C.P of 10 articles = Rs. 10

S.P of 10 articles = C.P of 11 articles

= Rs. 11

∴ gain = (11 – 10) = Rs. 1

So, gain% = \left( \frac { 1 }{ 10 } \times 100 \right) = 10%

#### Question 7:

Correct answer: Option(a)

Gain%=\left( \frac { error }{ true\quad value\quad -\quad error } \times 100 \right)

= \left( \frac { 40 }{ 960 } \times 100 \right)

= 4\frac { 1 }{ 6 } %

#### Question 8:

Correct answer: Option(b)

Number of saleable eggs = 200-38 = 162

S.P of 62 eggs = \left( \frac { 4.80 }{ 12 } \times 162 \right)

= Rs. 64.80

Profit made = 8%

∴ C.P = \left( \frac { 100 }{ 108 } \times 64.80 \right) = Rs. 60

Hence, the total investment = Rs. 60

#### Question 9:

Correct answer: Option(d)

S.P of 10 apples = Rs. 1

Gain = 40%

∴ C.P of 10 apples = \frac { 100 }{ 140 } \times 1 = Rs. \frac { 5 }{ 7 }

∴ Number of apples for a rupee = \frac { 10\times 7 }{ 5 } = Rs. 14

#### Question 10:

Correct answer: Option(c)

Let cost price = Rs. 100

S.P = 100 + 20 = Rs. 120

Second C.P = 100 – 20 = Rs. 80

Gain = 25%

∴ Second S.P = 80 \times \frac { 125 }{ 100 } = Rs. 100

Diff. between two S.P = Rs. 20

If the diff. is Rs. 20, C.P = Rs. 100 If the diff. is Rs. 5, C.P = Rs. \frac { 100 }{ 20 } \times 5 = Rs. 25

Hence, C.P of a article is Rs. 25

#### Question 11:

Correct answer: Option(b)

S.P of 40 = C.P of 40 + S.P of 8

S.P of 32 = C.P of 40

Suppose S.P of 32 = C.P of 40 = Rs. 1

Gain = \frac { 1 }{ 32 } -\frac { 1 }{ 40 } =\frac { 5+4 }{ 160 } =\frac { 1 }{ 160 }

Gain% = { \frac { 1 }{ 160 } }/\frac { 1 }{ 40 } \times 100

= \frac { 1 }{ 160 } X 40 X 100 = 25%

#### Question 12:

Correct answer: Option(a)

There is always loss, in these type of questions

Loss% = { \left( \frac { commom\quad loss\quad and\quad gain }{ 10 } \right) }^{ 2 }

∴ loss% = { \left( \frac { 15 }{ 10 } \right) }^{ 2 }=\quad \frac { 9 }{ 4 } = 2.25%

#### Question 13:

Correct answer: Option(c)

if C.P of two articles is same and one gains 10% and other loss 10% then there is no loss, no gain.

#### Question 14:

Correct answer: Option(b)

S.P = Rs. 100, Gain = Rs. 10

C.P = S.P – Gain = Rs. 90

Gain% = \frac { 10 }{ 90 } \times 100 = 11\frac { 1 }{ 9 } %

#### Question 15:

Correct answer: Option(d)

Let marked price be Rs. 100

Then commission is Rs. 20

∴ S.P = (100-20) = Rs. 80

But gain% = 10%

∴ C.P = \frac { 100 }{ 110 } \times 80 = Rs. 72.72

The new commission is Rs. 30

S.P in 2^{nd} case = (100 – 30) = Rs. 70

Gain% = \left( \frac { 2.72 }{ 72.72 } \times 100 \right) % = 3.74%

#### Question 16:

Correct answer: Option(b)

New price = 110% of 80% of 9000

= \frac { 110 }{ 100 } \times \frac { 80 }{ 100 } \times 9000 = Rs.7920

#### Question 17:

Correct answer: Option(a)

Let marked price be Rs. 100

Then, S.P = 95% of 90% of 80% of 100

= \frac { 95 }{ 100 } \times \frac { 90 }{ 100 } \times \frac { 80 }{ 100 } \times 100 = 68.40

∴ Required discount = (100-68.40)% = 31.6%

#### Question 18:

Correct answer: Option(b)

Suppose, he had x litres of wine contained in 10 casks. The selling price of x litres at the rate of Rs. 5 a litre, he losses Rs. 200

∴ Cost price of x litres = 5x +200

∴ C.P = S.P + loss

Selling Price of x litres at Rs. 6 a litre he gains Rs.150

∴ Cost Price of x litres = 6x – 150

∴ 6x – 150 = 5x + 200

∴ x = 350

Hence, he sold 350 litres of wine Number of litres in a cask = \frac { 350 }{ 10 } = 35

#### Question 19:

Correct answer: Option(a)

Suppose, he buys 3 kg of tea of first variety and 4 kg of tea of second variety

Then C.P of 3 kg of tea of the rate of Rs. 26 = 26 × 3 = Rs. 78

C.P of 4 kg of tea at the rate of Rs. 30.50 × 4 = Rs. 122

Total C.P of 7 kg of tea = (78+112) = Rs. 122

Total S.P of 7 kg of tea = 36×7 = Rs. 252

Gain = (252- 200) = Rs. 52

Gain% = \left( \frac { 52 }{ 100 } \times 100 \right) % = 25%

#### Question 20:

Correct answer: Option(c)

Let the C.P of article be Rs. x

S.P = C.P + gain

144 = x + x %of x

144 = x+\frac { { x }^{ 2 } }{ 100 }

144 = x+\frac { 100x+{ x }^{ 2 } }{ 100 }

x^{2} + 100x – 14400 = 0

(x-80)(x+180)=0

x = 80

#### Question 21:

Correct answer: Option(c)

Let C.P. of 16 articles = 16/-

SP of 12 articles = 16/-

SP of 16 articles = \frac { 16 }{ 12 } \times 16=\frac { 64 }{ 3 }

Gain = \frac { 64 }{ 3 } -16=\frac { 16 }{ 3 }

Gain% = 33.33 %

#### Question 22:

Correct answer: Option(c)

Let the second discount be x%

Therefore, 800-10% = 720

720 – x% of 720 = 612

\frac { x }{ 100 } \times 720=108

x=\frac { 108\times 100 }{ 720 } = 15%

#### Question 23:

Correct answer: Option(b)

C.P. = \frac { 5200\times 100 }{ 100+30 } = 4000

#### Question 24:

Correct answer: Option(d)

S.P. = 3990 Gain = 5%

Therefore, C.P. = \frac { 3900\times 100 }{ 100+5 } = 3800 S.P

Loss% = 5%

Therefore, C.P. = \frac { 3900\times 100 }{ 100-5 } = 4200

Therefore, Total C.P. = Rs. 8000

Total S.P. = Rs. 7980

Loss % = \frac { 20\times 100 }{ 8000 } = \frac { 1 }{ 4 }= 0.25

#### Question 25:

Correct answer: Option(c)

C.P. of article = Rs. 50, say

Therefore, S.P. of 40 articles = Rs. 50

S.P of 50 articles = Rs. 62.50

Therefore, Gain% = \frac { 12.50 }{ 50 } \times 100 = 25