Question

Sannidhi earns $₹18000$ per month. If her monthly saving is $₹3000$, find the ratio of her income to her expenditure.

Answer 1

Step 1: Find the ratio of Sannidhi's income to her expenditure

If $p$and $q$are two quantities, then the ratio of $p$ to $q$ is $\frac{p}{q}$ and is denoted as $p:q$ where the terms ( $p$ and $q$) are in the same unit and do not have any common factors other than 1.

It is given,

Sannidhi's monthly income $=₹18000$

Sannidhi's monthly savings $=₹3000$

Sannidhi's monthly expenditure $=₹18000-₹3000$

$=₹15000$

So, the ratio of Sannidhi's income to her expenditure is: $₹18000:₹15000$

Step 2: Simplify the ratio

Now let's simplify $\frac{18000}{15000}$:

The highest common factor (H.C.F) of $18000$ and $15000$ is $3000$.

On dividing both the terms by $3000$, we get:

$\frac{18000÷3000}{15000÷3000}=\frac{6}{5}$

Hence, the ratio of Sannidhi's income to her savings is $6:5$.