The ratio of monthly incomes of A and B is 7 : 10. The ratio of their expenditures is 2 : 3. If each of A and B saves ₹ 1,000 per month, then what will be the monthly income of B ?
The ratio of monthly incomes of A and B is 7 : 10. The ratio of their expenditures is 2 : 3. If each of A and B saves ₹ 1,000 per month, then what will be the monthly income of B ? Correct Answer <span style="">₹</span><span style=""> 10,000</span>
Option(2) is correct.
Let the monthly salary of A and B be 7x and 10x respectively.
Let the expenditure of A and B be 2y and 3y respectively.
Savings = Income - Expenditure
7x - 2y = 1000
10x - 3y =1000
⇒ 7x - 2y = 10x - 3y
⇒ y = 3 x
For B :
10x - 3y =1000
⇒ 10x - 3(3x) = 1000
⇒ x = 1000.
Therefore, the monthly income of B i.e., 10x = 10(1000) = Rs. 10000.
Hence, the correct answer is Rs 10000.
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Feb 20, 2025