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A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?

Question

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Solution

Let's denote A's salary as 'a' and B's salary as 'b'.

From the problem, we know that:

  1. a + b = 2000 (since A and B’s salaries together amount to Rs. 2,000)

  2. A spends 95% of his salary and B spends 85% of his salary, which means they save 5% and 15% of their salaries respectively. Since their savings are the same, we can write this as:

0.05a = 0.15b

Now we have a system of two equations, and we can solve it step by step.

First, let's simplify the second equation. Divide both sides by 0.05, we get:

a = 3b

Now we can substitute a from the first equation (a = 2000 - b) into this equation:

2000 - b = 3b

Solving this equation gives:

2000 = 4b

So, b = 500

Substitute b = 500 into the first equation:

a + 500 = 2000

So, a = 1500

Therefore, A’s salary is Rs. 1500.

This problem has been solved

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