Practice Questions for Arithmetic - Profit & Loss

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

Girish bought 100 kg of Rice for Rs. 1100 and sold it at a loss of as much money as he received for 20 kg rice. At what price did he sell the rice?

(a)
Rs. 9/kg
(b)
Rs. 9.167/kg
(c)
Rs. 9.5/kg
(d)
Rs. 10.33/kg

2. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

A merchant marks a profit of 20% by selling an article. What would be the percentage change in the profit% had he paid 10% less for it and the customer paid 10% more for it?

(a)
120%
(b)
125%
(c)
133.33%
(d)
150%

Answer: Option C

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Explanation :

Initially let the cost price = 100 and selling price = 120.

Later, CP = 100 × 0.9 = 90 and SP = 120 × 1.1 = 132.

∴ New Profit % = $\frac{132 - 90}{90}$ × 100 = 46.66%

% change in profit % = $\frac{46.66 - 20}{20}$ × 100 = 133.33%

Hence, option (c).

3. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

Rajesh sells his laptop to Amiya at a loss of 20% who subsequently sells it to Chandra at a profit of 25%. Chandra, after finding some defect in the laptop, returns it to Amiya but could recover only Rs. 90 paise for every rupee he had paid. Find the amount of Chandra’s loss if Rajesh had paid Rs. 3.5 lakh for the laptop.

(a)
Rs. 7,000
(b)
Rs. 5,000
(c)
Rs, 35,000
(d)
None of these

4. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

A driver of a Autorickshaw makes a profit of 10% on every trip when he carries 3 passengers and his total cost per km is Rs. 100. Find the percentage profit for same journey if he goes for four passengers per trip and the his cost per km reduces to Rs. 90? (Assume that revenue per passenger is the same in both the cases)

(a)
43.33%
(b)
65.66%
(c)
62.9%
(d)
Cannot be determined

5. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

A shopkeeper professes to sell the goods at cost price. He uses a false weight with the intention of selling an item at 33.33% profit. After selling the item, he realizes that the customer has paid 25% less than what he should have paid. Find the actual profit percentage made by the shopkeeper.

(a)
6.25%
(b)
No profit, no loss
(c)
8.33%
(d)
None of these

6. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

A shopkeeper purchased 40 litres of milk at the rate of Rs. 2.00 per litre and 60 litres of milk at the rate of Rs. 2.5 from two sellers. He sold the whole milk at the rate of Rs. 2.3 per litre. Find his profit or loss percent.

(a)
No profit no loss
(b)
10.3%
(c)
11%
(d)
12%

7. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

A shopkeeper sells his goods at the same price as what he pays his supplier. But when he buys from his supplier he takes 10% more than the indicated weight and when he sells, he gives a quantity, such that if 10% of that is added to it, the indicated weight is obtained. Find his profit percentage

(a)
18.25%
(b)
22.22%
(c)
20%
(d)
21%

8. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

The cost of running a printing machine is Rs. 450 per 1000 copies. The cost of setting is Rs. 5,000 for the first 10,000 copies and after this, the cost of setting is 50 paise per copy. The other cost is 40 paise per copy. About 20,000 copies of a magazine are printed, but only 16,520 copies are sold at the rate of Rs. 1.8 each. What is the amount earned from advertisement, if a profit of 20% on the cost price is made?

(a)
Rs. 1455
(b)
Rs. 2095
(c)
Rs. 2055
(d)
Rs. 2664

9. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

Arnav sells his goods 10% cheaper than Bishnoi and 10% dearer than Chetan. A customer purchases goods worth Rs. 11,200 from Arnav. What will be the profit or loss for him to buy half of the goods from Bishnoi and half of the goods from Chetan?

(a)
Rs. 113.11 loss
(b)
Rs. 131.11 loss
(c)
Rs. 113.13 loss
(d)
None of these

Answer: Option C

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Explanation :

SP of Arnav = Rs. 11,200

SP of Arnav = 90% of SP of Bishnoi

∴ SP of Bishnoi = $\frac{11200}{90}$ × 100 = $\frac{112000}{9}$

⇒ SP of Bishnoi for half the goods = $\frac{112000}{9 \times 2}$ = Rs. $\frac{56000}{9}$

Similarly, SP of Chetan = $\frac{11200}{110}$ × 100 = Rs. $\frac{112000}{11}$

⇒ SP of Chetan for half the goods = $\frac{112000}{11 \times 2}$ = Rs. $\frac{56000}{11}$

Total SP of Chetan and Bishnoi = $56000 (\frac{1}{9} + \frac{1}{11})$ = $\frac{1120000}{99}$

∴ Cost for the customer will be more when he purchases from Chetan and Bishnoi by

Rs. $(\frac{1120000}{99} - 11200)$ = Rs. 11200 $(\frac{100}{99} - 1)$

Rs. $\frac{11200}{99}$ = Rs. 113.13 loss.

Hence, option (c).

10. PE 2 - Profit & Loss | Arithmetic - Profit & Loss

A trader sells two horses, each for Rs. 3.75. On the sale of one horse he gets a profit of 15% and on the sale of second horse he has a loss of 15%. Find the profit % on the whole.

(a)
3.25%
(b)
2.25%
(c)
5.25%
(d)
None of these

PE 2 - Profit & Loss | Arithmetic - Profit & Loss

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