A spends 90% of his salary and B spends 85% of his salary. But savings of both are equal. Find the income of B, if sum of their incomes is Rs. 5000.
Answers
The income of B is Rs. 2000.
A spends 90% of his salary and B spends 85% of his salary. But savings of both are equal.
We have to find the income of B, if sum of their incomes is 5000 Rs.
Let the income of A is x and income of B is y.
A spends 90% of his income.
∴ savings of A is 10% of his income. i.e., 10 % of x
And B spends 85% of his income.
∴ savings of B is 15% of his income. i.e., 15% of y
A/C to question,
savings of A = savings of B
⇒ 10% of A = 15% of B
⇒ 10A = 15B
⇒ A/B = 3/2
Let the proportionality constant is x.
∴ the income of A = 3x
And the income of B = 2x
∵ the sum of their incomes is 5000 [ Given ]
∴ 3x + 2x = 5000
⇒ x = 1000
∴ Income of B = 2x = 2 × 1000 = Rs. 2000
Therefore the income of B is Rs. 2000.
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