# Profit and Loss Aptitude Questions and Answers:

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Profit and Loss Aptitude Questions and Answers. Number of Questions: 10 Questions with Solutions.

1. A man purchased a handwatch at $$Rs.3000$$ and sold it at $$Rs.3200$$. Find the profit percent of the man?

1. $$5.57 \ \%$$
2. $$6.67 \ \%$$
3. $$5.25 \ \%$$
4. $$3.67 \ \%$$

Answer: (b) $$6.67 \ \%$$

Solution: Given, cost price (CP) = $$Rs.3000$$

selling price (SP) = $$Rs.3200$$, then $$Profit = SP - CP$$ $$= 3200 - 3000 = 200$$ now the profit percent, $$P \ \% = \frac{200}{3000} \times 100$$ $$= 6.67 \ \%$$

1. Rahul purchased a mobile at $$Rs.10000$$ and sold it at $$Rs.8000$$. Find the loss percent of the Rahul?

1. $$20 \ \%$$
2. $$15 \ \%$$
3. $$25 \ \%$$
4. $$30 \ \%$$

Answer: (a) $$20 \ \%$$

Solution: Given, cost price (CP) = $$Rs.10000$$

selling price (SP) = $$RS.8000$$, then $$Loss = CP - SP$$ $$= 10000 - 8000 = 2000$$ now the loss percent, $$Loss \ \% = \frac{2000}{10000} \times 100$$ $$= 20 \ \%$$

1. A women sold an article for $$Rs.3000$$ and gained $$Rs.400$$, then find the cost price of the article?

1. $$Rs.3200$$
2. $$Rs.3400$$
3. $$Rs.2800$$
4. $$Rs.2600$$

Answer: (d) $$Rs.2600$$

Solution: Given, selling price (SP) = $$Rs.3000$$

profit = $$Rs.400$$, then $$Profit = SP - CP$$ $$400 = 3000 - CP$$ $$CP = Rs.2600$$

1. A man sold an article for $$Rs.8000$$ and lost $$Rs.1500$$, then find the cost price of the article?

1. $$Rs.9500$$
2. $$Rs.8500$$
3. $$Rs.6500$$
4. $$Rs.7500$$

Answer: (a) $$Rs.9500$$

Solution: Given, selling price (SP) = $$Rs.8000$$

loss = $$Rs.1500$$, then $$Loss = CP - SP$$ $$1500 = CP - 8000$$ $$CP = Rs.9500$$

1. Rohan purchased a book at $$Rs.200$$ and sold at the profit of $$Rs.50$$, then find the selling price of the book and profit percent of the Rohan?

1. $$15 \ \%$$
2. $$20 \ \%$$
3. $$25 \ \%$$
4. $$30 \ \%$$

Answer: (c) $$25 \ \%$$

Solution: Given, cost price (CP) = $$Rs.200$$

profit = $$Rs.50$$, then $$Profit = SP - CP$$ $$50 = SP - 200$$ $$SP = Rs.250$$ $$Profit \ \% = \frac{50}{200} \times 100$$ $$= 25 \ \%$$

1. By selling a book for $$Rs.500$$, the seller gains $$10 \ \%$$, at what price should he sell the book to gain $$20 \ \%$$ on the cost price?

1. $$Rs.540.223$$
2. $$Rs.545.445$$
3. $$Rs.632.335$$
4. $$Rs.626.662$$

Answer: (b) $$Rs.545.445$$

Solution: Given, selling price (SP) = $$Rs.500$$

profit percent = $$10 \ \%$$, then $$SP = \frac{100 + P \ \%}{100} \times CP$$ $$CP = \frac{500}{100 + 10} \times 100$$ $$= \frac{500}{110} \times 100$$ $$= Rs.454.54$$ $$20 \ \%$$ of the cost price, $$= \frac{454.54 \times 20}{100}$$ $$= Rs.90.908$$ Hence, to gain $$20 \ \%$$ the book should be sold at Rs. $$= 454.54 + 90.908$$ $$= Rs.545.445$$

1. By selling a pen for $$Rs.50$$, a man gains $$5 \ \%$$. Find the cost price of the pen?

1. $$Rs.47.61$$
2. $$Rs.45.26$$
3. $$Rs.42.58$$
4. $$Rs.44.81$$

Answer: (a) $$Rs.47.61$$

Solution: Given, selling price (SP) = $$Rs.50$$

profit percent = =$$5 \ \%$$, then $$SP = \frac{100 + P \ \%}{100} \times CP$$ $$CP = \frac{SP}{100 + P \ \%} \times 100$$ $$= \frac{50}{100 + 5} \times 100$$ $$CP = Rs.47.61$$

1. By selling a watch for $$Rs.1000$$, a shopkeeper incurs a loss of $$20 \ \%$$. Find the cost price of the watch?

1. $$Rs.1525$$
2. $$Rs.1600$$
3. $$Rs.1250$$
4. $$Rs.1350$$

Answer: (c) $$Rs.1250$$

Solution: Given, selling price (SP) = $$Rs.1000$$

loss percent = =$$20 \ \%$$, then $$SP = \frac{100 - L \ \%}{100} \times CP$$ $$CP = \frac{SP}{100 - L \ \%} \times 100$$ $$= \frac{1000}{100 - 20} \times 100$$ $$CP = Rs.1250$$

1. A man purchased a book for $$Rs.600$$ and sold it at $$Rs.650$$. Find the profit percent of the man?

1. $$7.25 \ \%$$
2. $$5.62 \ \%$$
3. $$6.34 \ \%$$
4. $$8.33 \ \%$$

Answer: (d) $$8.33 \ \%$$

Solution: Given, cost price (CP) = $$Rs.600$$

selling price (SP) = $$Rs.650$$, then $$CP = \frac{SP}{100 + P \ \%} \times 100$$ $$600 = \frac{650}{100 + P \ \%} \times 100$$ $$P \ \% = 8.33 \ \%$$

1. Rohit purchased a mobile at $$Rs.7000$$ and sold it at $$Rs.6500$$. Find the loss percent of the Rohit?

1. $$6.16 \ \%$$
2. $$8.28 \ \%$$
3. $$7.14 \ \%$$
4. $$5.69 \ \%$$

Answer: (c) $$7.14 \ \%$$

Solution: Given, cost price (CP) = $$Rs.7000$$

selling price (SP) = $$Rs.6500$$, then $$CP = \frac{SP}{100 - L \ \%} \times 100$$ $$7000 = \frac{6500}{100 - L \ \%} \times 100$$ $$L \ \% = 7.14 \ \%$$