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Official PYQ · 2019QGA-4MCQ1 mark

GATE CS 2019 QGA-4 — General Aptitude

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Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. 150150 more. The cost of the gift was Rs. ____

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Answer: C

Let the total cost of the gift be Rs. CC.

Initially, there are 1010 friends. The planned contribution of each friend is:

Initial share=C10\text{Initial share} = \frac{C}{10}

When 22 friends decide not to contribute, the remaining 88 friends must share the total cost equally. The new contribution of each friend is:

New share=C8\text{New share} = \frac{C}{8}

According to the problem, the share of each of the remaining friends increases by Rs. 150150:

C8−C10=150\frac{C}{8} - \frac{C}{10} = 150

To solve for CC, find a common denominator:

5C−4C40=150\frac{5C - 4C}{40} = 150C40=150\frac{C}{40} = 150C=150×40=6000C = 150 \times 40 = 6000

Thus, the cost of the gift was Rs. 6000.

Hence, the correct option is C.

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