Question

A sum of ₹500 is in the form of denominations of ₹5 and ₹10. If the total number of notes is 90, find the number of notes of each type.

• A. 80, 10
• B. 15, 75
• C. 70, 20
• D. 79, 21

Answer 1

The correct option is A 80, 10

Let the number of ₹ 5 notes$=x$
$\therefore$ The number of ₹ 10 notes$=90-x$
Total value of ₹ 5 notes $=5x$
Total value of ₹ 10 notes $=(90-x)\times 10=900-10x$
$\Rightarrow 5x+900-10x=500$
$\Rightarrow 5x=900-500$
$\Rightarrow x=\frac{400}{5}$
$\Rightarrow x=80$
Number of ₹ 5 notes $=80$
Number of ₹ 10 notes $=90-80=10$