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Select the correct answerThe 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.6000Rs.7500Rs.6500Rs.8000

Question

Select the correct answerThe 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.6000Rs.7500Rs.6500Rs.8000

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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. 14000)

We also know that their savings are equal. Savings can be calculated as salary minus expenditure. So,

a - 0.80a = b - 0.85b (since A spends 80% of his salary and B spends 85% of his salary)

Solving this equation gives us:

0.20a = 0.15b

Dividing both sides by 0.20 gives us:

a = 0.15b / 0.20

a = 0.75b

Now we can substitute a = 0.75b into the first equation:

0.75b + b = 14000

1.75b = 14000

Dividing both sides by 1.75 gives us:

b = 14000 / 1.75

b = Rs.8000

So, the salary of B is Rs.8000.

This problem has been solved

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