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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?OptionsRs.6500Rs.8000Rs.6000Rs.7500

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?OptionsRs.6500Rs.8000Rs.6000Rs.7500

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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:

a + b = 14000 (since their combined salary is Rs. 14,000)

We also know that A spends 80% of his salary and B spends 85% of his salary, and their savings are equal. This means that:

a * (1 - 0.80) = b * (1 - 0.85)

Solving this equation gives us:

a * 0.20 = b * 0.15

We can simplify this to:

a/b = 0.15/0.20 = 0.75

Now we have a system of two equations:

a + b = 14000 a/b = 0.75

We can solve this system of equations to find the values of 'a' and 'b'.

First, let's express 'a' in terms of 'b' using the second equation:

a = 0.75b

Now we can substitute this into the first equation:

0.75b + b = 14000 1.75b = 14000 b = 14000 / 1.75 b = 8000

So, B's salary is Rs. 8000.

This problem has been solved

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