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
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.
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