A man distributed Rs. 100 equally among his friends. If there had been 5 more friends, each would have received one rupee less. How many friends had he?
Question and options
A man distributed Rs. 100 equally among his friends. If there had been 5 more friends, each would have received one rupee less. How many friends had he?
- 20
- 25
- 30
- 35
Answer and explanation
Correct answer: A - 20
Let n be the number of friends. Then 100/n − 100/(n + 5) = 1, which simplifies to n(n + 5) = 500, so n = 20. Check: with 20 friends each gets Rs 5, and with 25 friends each gets Rs 4, exactly one rupee less.
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CUSAT Three-Year LL.B.
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