ERCISE 8.3 are in 10. The ratio of the income to the expenditure of a family is $$ 10: 8 $$. If the expenditure is $$ ₹ 72,000 $$, what is the income?

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Given that the ratio of income to expenditure of a family is $$ 10:8 $$ and the expenditure is $$ ₹72,000 $$, we can find the income as follows:

Let the income be $$ 10x $$ and the expenditure be $$ 8x $$.

Since the expenditure is $$ ₹72,000 $$, we have:
$$ 8x = 72,000 $$

To find the income, we need to find the value of $$ x $$ first.

Let's solve for $$ x $$ using the equation $$ 8x = 72,000 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$8x=72000$$
- step1: Divide both sides:
  $$\frac{8x}{8}=\frac{72000}{8}$$
- step2: Divide the numbers:
  $$x=9000$$
The value of $$ x $$ is $$ 9000 $$.

Now, we can find the income by substituting the value of $$ x $$ into the expression for income:
$$ \text{Income} = 10x = 10 \times 9000 = ₹90,000 $$

Therefore, the income of the family is $$ ₹90,000 $$.
The income is ₹90,000.

ERCISE 8.3 are in 10. The ratio of the income to the expenditure of a family is \( 10: 8 \). If the expenditure is \( ₹ 72,000 \), what is the income?

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