A total of ₹10,000 is distributed among 150 persons as gifts. If a gift is either of ₹50 or ₹100 denominations, then the total number of gifts worth ₹50 is 50.

100

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False

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Solution

The correct option is B False
Total number of gifts = 150

Let the number of gifts worth ₹50 be x

Then the number of gifts worth ₹100 would be (150 - x)

Amount spent on x gifts of ₹ 50 = ₹50x

Amount spent on (150 - x) gifts of ₹100 = ₹100(150 - x)

So, 50x + 100 (150 - x) = 10000

50x + 15000 - 100x = 10000

50x = 15000 - 10000 = 5000

x = 100

The total number of ₹50 gifts = x = 100 and hence the given statement is False.

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