A man earns $$ ₹ 7500 $$ a year and spend $$ ₹ 6300 $$ a year. Find the ratio of (i) his income to his expenditure. (ii) his saving to his income.

Question

UpStudy AI · Accepted Answer

Let's solve each part step by step.

**Given:**
- **Income (I)** = ₹7,500 per year
- **Expenditure (E)** = ₹6,300 per year
- **Saving (S)** = Income - Expenditure = ₹7,500 - ₹6,300 = ₹1,200 per year

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### (i) Ratio of Income to Expenditure

We need to find the ratio $$ I : E $$.

$$
I : E = ₹7,500 : ₹6,300
$$

**Simplifying the ratio:**
1. Find the greatest common divisor (GCD) of 7,500 and 6,300. The GCD of 7,500 and 6,300 is 300.
2. Divide both terms by the GCD.

$$
\frac{7,500}{300} : \frac{6,300}{300} = 25 : 21
$$

**So, the ratio of Income to Expenditure is $$ 25 : 21 $$.**

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### (ii) Ratio of Saving to Income

We need to find the ratio $$ S : I $$.

$$
S : I = ₹1,200 : ₹7,500
$$

**Simplifying the ratio:**
1. Find the GCD of 1,200 and 7,500. The GCD of 1,200 and 7,500 is 300.
2. Divide both terms by the GCD.

$$
\frac{1,200}{300} : \frac{7,500}{300} = 4 : 25
$$

**So, the ratio of Saving to Income is $$ 4 : 25 $$.**

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**Final Answer:**
1. The income to expenditure ratio is 25 : 21.
2. The saving to income ratio is 4 : 25.
The income to expenditure ratio is 25:21, and the saving to income ratio is 4:25.

A man earns $₹$ a year and spend
$₹$ a year. Find the ratio of
(i) his income to his expenditure.
(ii) his saving to his income.

Upstudy AI Solution

Answer

Solution

(i) Ratio of Income to Expenditure

(ii) Ratio of Saving to Income

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A man earns ₹ a year and spend ₹ a year. Find the ratio of (i) his income to his expenditure. (ii) his saving to his income.