Question : 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. 2800 income, then find the savings of Narendra.
Option 1: Rs. 2,900
Option 2: Rs. 2,000
Option 3: Rs. 4,900
Option 4: Rs. 3,900
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Correct Answer: Rs. 2,900
Solution :
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
Let the ratio of income of Jitendra to Narendra be 4x and 7x.
So 4x = 2800
⇒ x = 700
So, the income of Narendra = 7x = 7 × 700 = 4900
The saving of Jitendra = 400
So, expenditure of Jitendra = 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 = 2,000
$\therefore$ Savings of Narendra = 4,900 – 2,000 = 2,900
Hence, the correct answer is Rs. 2,900.
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