The ratio of income of Jitendra, and Narendra is 4 : 7 and the ratio of their expenditure is 6 : 5 respectively. If Jitendra saves Rs. 400 out of Rs. 2,800 income, then find the savings of Narendra.

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 13 March, 2023 Shift 2)
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  1. Rs. 2,900
  2. Rs. 2,000
  3. Rs. 4,900
  4. Rs. 3,900

Answer (Detailed Solution Below)

Option 1 : Rs. 2,900
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Detailed Solution

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Given:

The ratio of income of Jitendra to Narendra = 4 : 7

The ratio of expenditure of Jitendra to Narendra = 6 : 5

Jitendra's savings = Rs. 400

Jitendra's income = Rs. 2,800

Calculation

The ratio of income is 4 : 7

Let the ratio be 4x and 7x

The income of Jitendar = 2800

So 4x = 2800

x = 700

So the income of Narender = 7x = 7 × 700 = 4900

The saving of Jitendar = 400

So expenditure of Jitendar = 2800 - 400 = 2400

The ratio of expenditure of Jitendra to Narendra = 6 : 5

Let the ratio of expenditure be 6y and 5y

so, 6y = 2400

y = 400

So expenditure of Narendra = 5y = 5 × 400 = 2000

Saving of Narendra = 4900 - 2000 = 2900

Therefore, the savings of Narendra is Rs. 2,900.

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