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The ratio of salary of two persons X and Y is 5:8. If the salary of X increases by 60% and that of Y decreases by 35% then the new ratio of their salaries become 40:27. What is X's salary? a) Rs.15000 b) Rs.12000 c) Rs.19500 d) Data inadequate. e) NONE

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The ratio of salary of two persons X and Y is 5:8. If the salary of X increases by 60% and that of Y decreases by 35% then the new ratio of their salaries become 40:27. What is X's salary? a) Rs.15000 b) Rs.12000 c) Rs.19500 d) Data inadequate. e) NONE
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Answer : D

Ratio of salary of X and Y is 5:8

Let the original salary of X and Y be Rs.5k and Rs.8k respectively.

After increasing 60%, new salary of X = 160% of 5k = 160x5k/100 = 80k/10 ...(1)

After decreasing 35%, new salary of Y = (100-35)% of 8k = 65% of 8k = 52k/10 ...(2)

Given that, new ratio is 40:27

That is, 80k/10 : 52k/10 = 40/27

This does not give the value of k; so that we cannot find X's exact salary.

Hence the answer is data inadequate.
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