Question

A boy saves $Rs4.65$ daily than the least number of days in which he will be also to save an exact number of rupees is

• A. $15$
• B. $20$
• C. $12$
• D. $10$

Answer 1

The correct option is B $20$

Rs.$4.65=465$Paise

The exact number of rupees will be a multiple of $100$

So, we have to fine the L.C.M. of $465$ and $100$

$100=2\times 2\times 5\times 5$

$465=3\times 5\times 31$

L.C.M. of $465$ and $100=2\times 2\times 3\times 5\times 5\times 31=9300$

So, the boy saves $9300$ paise.

Hence, least number of days required to save $9300$ paise $=\frac{9300}{465}=20$ days