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Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:​
Question

Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:​

A.

6

B.

16

C.

13

D.

4

Correct option is A

Given:

Mahesh withdrew ₹3,100 from the bank.

He received a total of 34 notes, consisting of ₹50 and ₹100 denominations.

We need to find the number of ₹50 notes.

Solution:

Let:

x = the number of ₹50 notes,

y = the number of ₹100 notes.

From the condition;

x + y = 34 ...........(1)

second condition;

50x + 100y = 3100

x + 2y = 62.........(2) 

subtracting equations 2×\times​(1) - (2) 

2x+2y=68x2y=62x    =   62x+2y = 68 \\ \underline{-x -2y = -62} \\ x\quad \ \ \ \ = \ \ \ 6 ​​

Thus, The number of ₹50 notes received by Mahesh is 6

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