Question

A sum of money was divided between X and Y so that X gets 1/20 of the whole money. If he gets ₹25,000; how much was the total money? And how much does Y get?​

Answer 1

Given :

Part of money divided to X : $\sf \dfrac{1}{20}$ of whole.

Money divided to X : ₹25000

To find :

The total money and the money divided to Y.

Solution :

First, we should find the total money.

Total sum of money :

Let the total sum of money be m.

According to the question,

$\sf \dashrightarrow \dfrac{1}{20} \: of \: m = 25000$

$\sf \dashrightarrow \dfrac{1}{20} \times m = 25000$

$\sf \dashrightarrow m = 25000 \div \dfrac{1}{20}$

$\sf \dashrightarrow m = 25000 \times \dfrac{20}{1}$

$\sf \dashrightarrow m = 25000 \times 20$

$\sf \dashrightarrow m = 500000$

Now, let's find the total money divided to Y.

Money divided to Y :

$\sf \dashrightarrow 500000 - 25000$

$\sf \dashrightarrow Rs.475000$

Hence, the total money and money given to Y are 500000 and 475000 rupees respectively.