Ten friends planned to share equally the cost of buying a gift for their…
2019
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 150 more. The cost of the gift was Rs. ____.
- A.
666
- B.
3000
- C.
6000
- D.
12000
Attempted by 45 students.
Show answer & explanation
Correct answer: C
Let the total cost of the gift be C.
If all 10 friends contribute, each pays C/10.
When 2 do not contribute, 8 friends share the cost, so each pays C/8.
The increase per person is given as Rs 150, so C/8 − C/10 = 150
Compute the difference: 1/8 − 1/10 = 1/40, so C/40 = 150.
Therefore C = 150 × 40 = 6000.
Check: 6000/10 = 600 and 6000/8 = 750, so the increase is 150, which matches the condition.
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