Question 23

The salaries of Peter and Ali are in the ratio $$3 \colon 2$$. Their expenditures are in the ratio $$5 \colon 3$$, and each saves Rs. $$5000$$. Peter's income in rupees is

Correct Answer: 30000

Solution

Let their salaries be $$3x$$ and $$2x$$, and their expenditures be $$5y$$ and $$3y$$. Then $$3x-5y=5000$$ and $$2x-3y=5000$$. Solving gives $$x=10000$$, so Peter's income is $$3x=30000$$.

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The salaries of Peter and Ali are in the ratio $$3 \colon 2$$. Their expenditures are in the ratio $$5 \colon 3$$, and each saves Rs. $$5000$$. Peter's income in rupees is

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