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Question 55
A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900 from Rs. 5,000 of income, find x%.
Solution
He earns x% on first 2000 and y% on rest of his income.
So on 4000 rs. , he will earn as follows:
$$2000 \frac{x}{100} + 2000 \frac{y}{100}$$ = 700
Or $$x+y = 35$$
Similarly on 5000 rs. ,he will earn 900 as follows:
$$2000 \frac{x}{100} + 3000 \frac{y}{100} = 900$$
Or $$20x + 30y = 900$$
On solving above equations, we will get value of x = 15
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