By Selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for…
2025
By Selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for Rs.24, to gain 20% in the transaction.
- A.
16
- B.
18
- C.
20
- D.
22
Attempted by 13 students.
Show answer & explanation
Correct answer: B
Key idea: find the cost price from the loss information, get cost per lemon, then compute the selling price per lemon for the desired gain and divide the total amount by that selling price.
From selling 45 lemons for Rs.40 at a 20% loss, the cost of 45 lemons = 40 ÷ 0.8 = Rs.50.
Cost per lemon = 50 ÷ 45 = 10/9.
To gain 20%, required selling price per lemon = 1.2 × 10/9 = 4/3.
Number of lemons when total selling amount is Rs.24 = 24 ÷ (4/3) = 24 × 3/4 = 18.
Answer: 18 lemons