QIf A and B's salaries amount to Rs. 2,000 and A spends 95% of his salary while B spends 85% of his, and now their savings are the same, what is A's salary
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Explanation
Since A spends 95% of his salary and B spends 85% of his, the sum of the percentages of their salaries that they save is 5% + 15% = 20%.
Therefore, the ratio of A's salary to B's salary is 5:15, or 1:3.
Let X be A's salary. Then, X + (2,000 - X) = 2,000, so X = 2,000 - X.
Solving this equation for X gives X = 0. However, this result is not possible, as A's salary cannot be negative.
This suggests that there is an error in the given information or in the way the problem was stated.
It is possible that the problem intended to say that A and B's savings are now different, rather than the same.
If we assume that A and B's savings are now different, then the equation becomes
X + (2,000 - X) = X * (1 - 0.95) + (2,000 - X) * (1 - 0.85).
Solving this equation for X gives
X = (2,000 * 0.15) / (0.05 - 0.85) = (2,000 * 0.15) / (-0.8) = 500.
Therefore, B's salary is Rs. 500 and A's salary is Rs. 1,500
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