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Question

Mathematics Question on Number Systems

Shyam had 85 currency notes in all, some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amountof all these currency notes was Rs 5000. How much amountin rupeesdid he have in the denomination of Rs 50?

A

3500

B

70

C

15

D

1500

Answer

3500

Explanation

Solution

Assume the number of Rs.Rs. 50 notes denomination be xx

the number of Rs.Rs. 100 notes denomination be (85x)(85 - x)

From the question we know that,

50x+100(85x)=500050x + 100(85 - x) = 5000

50x+8500100x=500050x + 8500 - 100x = 5000

50x=350050x = 3500

x=350050x = \frac{3500}{50}

x=70x = 70

So, The Amount in only Rs. 50 denomination = 70 × 50 = Rs.Rs. 3500

The correct option is (A): 3500