Question
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.
Answer: Option B
:
B
Total number of gifts = 150
Let the number of gifts worth ₹50bex
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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:
B
Total number of gifts = 150
Let the number of gifts worth ₹50bex
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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