CAT 1995 | Question: 51

Question

A person who has a certain amount with him goes to the market. He can buy $50$ oranges or $40$ mangoes. He retains 10% of the amount for taxi fare and buys $20$ mangoes, and of the balance he purchases oranges. The number of oranges he can purchase is:

• A. 36
• B. 40
• C. 15
• D. 20

Answer 1

Let the person has x Rs , then price of 50 oranges or 40 mangoes is x Rs.

Therefore, from given information x = (x / 10) + (x / 2) + Amount left.

Hence, the amount left to buy oranges is (2x / 5) , since price of 50 oranges or 40 mangoes is x Rs , hence price of 1 orange, 1 mango is (x / 50), (x / 40) respectively.

Hence, he can buy (2 /5) x 50 = 20 oranges.

Option D is the Correct Answer.