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
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?
Solution
Let's denote A's salary as 'a' and B's salary as 'b'.
From the problem, we know that:
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a + b = 2000 (since A and B’s salaries together amount to Rs. 2,000)
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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.
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