The ratio of monthly incomes of A and B is 7 10 The ratio of their expenditures is 2 3 If each of A ...........

Quantitative Aptitude( Paper-I ) Ratio, Proportion

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 Rs.1,000 per month, then what will be the monthly income of B?

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CAPF 2021 Paper-1

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Rs.9,000

Rs.10,000

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Explanation:

Rs.10,000

The ratio of A and B’s income is given i.e. 7/10, so let us assume A’s income is 7x and B’s income is 10x.
The ratio of A and B’s expenditure is given i.e. 2/3, so A’s expenditure is 2y and B’s expenditure is 3y.
And each of them saves 1000 per month, so we will get 2 quadratic equations from above data.
7x-2y=1000 and
10x-3y=1000
By solving these two equations we will get x=1000, then A= 7000 and B=10,000

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