Profit and Loss problems
- 1. A trader sells 20 kg of sugar at Rs. 400. A customer asks 20% discount and he agrees to it but instead of 1 kg he gives 4% less sugar. what is the effective discount that the customer gets?
Options- A. 16 %
- B. 16.66 %
- C. 15.5 %
- D. 19.6 % Discuss
Correct Answer: 16.66 %
Explanation:
Let the MP = Re. 1 per kg then
Initially :
Weight = 100 kg
MP = Rs. 100
Rate = 1 Rs / kg.
Finally :
Weight = 96 kg
MP = Rs. 96
Rate = 80 / SP = 80/96
Effective discount = 1- 80 / 96 = 16 / 96
% discount = [(16 / 96) ]x 100 = 16.66 %
- 2. A trader mixes 25% kerosene to his petrol and then he sells the whole mixture at the price of petrol. if the cost price of kerosene be 50 % of the cost price of petrol, what is the net profit percentage?
Options- A. 11 1/9 %
- B. 12 1/9 %
- C. 9 1/11 %
- D. 20 % Discuss
Correct Answer: 11 1/9 %
Explanation:
K = 1 litre, price of K = 1
P = 4 litre price of P = 2
price of total (new) mixture = 1 X 1 + 4 X 2 = Rs. 9
price of pure petrol of same quantity = 5 X 2 = Rs. 10
Percentage profit = [(10-9) / 9] x 100 = 111/9 %
- 3. A trader procures his goods from a wholesaler, whose balance reads 1200 g from 1000 g . The trader sells all the procured goods to a customer after marking up the goods at 20% above the cost price. what is his overall percentage profit or loss in the whole transaction?
Options- A. 38 % profit
- B. 50 % profit
- C. no profit no loss
- D. none of the above Discuss
Correct Answer: no profit no loss
Explanation:
If CP be Rs. 1g, then he pay Rs. 1200 for 1000 g
Again he obtains Rs. 1200 for 1000 g (by selling at 20% profit) Thus there is no loss no gain.
- 4. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?
Options- A. 33.33%
- B. 75%
- C. 300%
- D. 150% Discuss
Correct Answer: 300%
Explanation:
Let the selling price of each article be Rs. 1. Then, selling price of 100 articles= Rs. 100, profit on selling 100 articles= Rs. 75, and cost of 100 articles=100-75=Rs.25
Therefore, profit percentage=(75 / 25) x 100=300%
- 5. The cost of 2 tables is equal to the cost of 5 chairs. If the difference of the cost of one table and one chair is Rs. 1200, then the cost of one chair is?
Options- A. Rs. 500
- B. Rs. 400
- C. Rs. 800
- D. Rs. 600 Discuss
Correct Answer: Rs. 800
Explanation:
Let the cost of the table be Rs. x and the cost of the chair = Rs. y
From 1st condition,
2x = 5y
? x= 5y/2
From 2nd condition
x - y = 1200
? (5y / 2) - y = 1200
3y / 2 = 1200
y = Rs. 800
- 6. If the cost of 1/4th of kg is Rs. 0.60, then what is the cost of 200 gm?
Options- A. 42 paise
- B. 48 paise
- C. 40 paise
- D. 50 paise Discuss
Correct Answer: 48 paise
Explanation:
1 kg = 1000 grams
? 1/4 kg = 1000 / 4 = 250 grams
Now Cost for 200 grams = (200 / 250 ) x 60 paise
= 48 paise
- 7. Cost of 1/4 dozen of bananas is Rs. 2.35, then what is the approximate cost of 42 dozen of bananas?
Options- A. Rs. 430
- B. Rs. 540
- C. Rs. 380
- D. Rs. 400 Discuss
Correct Answer: Rs. 400
Explanation:
? 1 dozen = 12
? 1/4 dozen = 1/4 x 12 = 3
? Cost of 3 bananas = Rs. 2.35
? Cost of 1 banana = Rs. 2.35/3
? Cost of 42 x 12 bananas = (2.35 x 42 x 12 ) / 3
= Rs. 394.80
= Rs. 400 (Approximately)
- 8. Cost of 7000 bricks is Rs. 5740. cost of luggage to carry the bricks to the building place is Rs. 805. What is the cost at per thousand bricks?
Options- A. Rs. 900
- B. Rs. 800
- C. Rs. 935
- D. Rs. 750 Discuss
Correct Answer: Rs. 935
Explanation:
? Total cost of 7000 bricks = 5740 + 805 = Rs. 6545
? Total cost of 1 brick = Rs. 6545/7000
? Total cost of 1000 bricks = (6545 / 7000) x 1000
= Rs. 935
- 9. 357 mangoes cost of Rs. 1517.25, then what is the approximate cost of 49 dozen of mangoes?
Options- A. Rs. 2500
- B. Rs. 2600
- C. Rs. 3000
- D. Rs. 2200 Discuss
Correct Answer: Rs. 2500
Explanation:
49 dozen = 49 x 12 = 588
? The cost of 357 mangoes = Rs.1517.25
?The cost of 1 mangoes 517.25 / 357 = Rs. 4.25
? The cost of 588 = Rs. 2499
= Rs. 2500 (Approximately)
- 10. By selling an article for Rs. 100, one gains Rs. 10. Then the gain percent is?
Options- A. 9%
- B. 10%
- C. 111/9
- D. None of these Discuss
Correct Answer: 111/9
Explanation:
S.P. = Rs. 100, gain = Rs. 10
? C.P. = S.P. - gain = Rs. 90
? Gain% = (10 / 90) x 100 % = 111/9%
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