CAT 1991QA Question 39

Simple EquationsEasy
Passage / Data

Answer the following questions based on the information given below:

There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as  well as a library was one fourth the number of those having a laboratory alone. The number of schools  having either a laboratory or a library or both was 35.

Gopal went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare. If he buys 20 mangoes, then the number of oranges he can buy is

Answer & solution

  • A

    25

  • 20

  • C

    18

  • D

    6

Solution

Let the amount with Gopal be Rs. 400.

Therefore price of an orange is then Rs. 8 and that of a mango is Rs.10.

If he keeps 10% of the money for taxi fare, he is left with Rs.360.

Now if he buys 20 mangoes, then he spends on mangoes Rs. 200.

Now he is left with Rs.160, in which he can buy = 160/8 = 20 oranges.

Hence, option (b).

CAT 1991 QA Q39: Gopal went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 — Solution | TheCATExam