If X's income in 1999 and Y's expenditure in 2000 were equal , the i

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Question

If X's income in 1999 and Y's expenditure in 2000 were equal , the income of X in 1999 and that of Y in 2000 are in the ratio :

Options:

A . 1:1

B . 2:3

C . 3:2

D . Cannot be determined

Answer: Option B
:
B

Let X's expenditure in 1999 be 100.
We have profit = 50%= $\frac{( Income - 100)}{100}$
$\Rightarrow$ Income = 150
As per the given information, we have Y's expenditure in 2000 = 150
So, again, $\frac{( Income - 150)}{150}$ = 50%
$\Rightarrow$ Income = 225

So, the required ratio is 150 : 225 = 2 : 3.

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