The salaries of A and B together amounts to Rs. 14,000. A spends 80% of his salary and B spends 85% of his salary. What is the salary of B if their savings are equal?
Question
The salaries of A and B together amounts to Rs. 14,000. A spends 80% of his salary and B spends 85% of his salary. What is the salary of B if their savings are equal?
Solution
Sure, let's solve this step by step:
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Let's denote A's salary as 'a' and B's salary as 'b'. According to the problem, a + b = 14,000.
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A spends 80% of his salary, so he saves 20%. Therefore, A's savings are 0.2a.
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B spends 85% of his salary, so he saves 15%. Therefore, B's savings are 0.15b.
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The problem states that their savings are equal, so 0.2a = 0.15b.
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We can solve this system of equations either by substitution or by elimination. Let's use substitution:
From a + b = 14,000, we can express a as a = 14,000 - b.
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Substitute a in the equation 0.2a = 0.15b:
0.2(14,000 - b) = 0.15b 2,800 - 0.2b = 0.15b 2,800 = 0.35b b = 2,800 / 0.35 b = 8,000
So, B's salary is Rs. 8,000.
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