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CAT 1991 — QA Question 45

PercentageEasy
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.

An outgoing batch of students wants to gift PA system worth Rs. 4200 to their school. If the teachers offer to pay 50% more than the students, and an external benefactor gives three times teachers’ contribution, how much should the teachers donate?

Answer & solution

  • A

    600

  • B

    840

  • 900

  • D

    1200

Solution

The ratios of the share of students, teachers and benefactor is 1 : 1.5 : 4.5.

So, the proportion of teachers share is 1.5/7.

So teachers would donate: (1.5 × 4200)/7 = Rs. 900

Hence, option (c).

CAT 1991 QA Q45: An outgoing batch of students wants to gift PA system worth Rs. 4200 to their school. If the teachers offer to — Solution | TheCATExam