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Mr. X, a business man had the income in the year $2000$ , such that he earned a profit of $20$ % n his investment in the business. In the year $2001$ , his investment was less by Rs. $5000$ but still had the same income (Income=Investment+Profit) as that in $2000$ . Thus, the percent profit earned in $2001$ increased by $6$ %. What was his investment in $2000$ ?

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102000

105000

150500

155500

answer is B.

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Detailed Solution

It is given a profit of

20

%.
Let investment of Mr. X be 'I' in

2000

.
Profit in year

2000 = 20

% on investment

\Rightarrow \frac{I}{5}

Total income in year

2000 = I + \frac{I}{5}

\Rightarrow \frac{6 I}{5}

Investment of Mr. X in

2001 = (I - 5000)

Income is same in both

2000

and

2001

(I - 5000) + P = \frac{6 I}{5}

,
P is profit in year

2001

P = \frac{I}{5} + 5000

Profit percent increased by

6

%,
New profit percent

20 + 6 = 26

\Rightarrow \frac{\frac{I}{5} + 5000}{I - 500} = \frac{26}{100}

\Rightarrow 20 I + 5000 (100) = 26 I - 26 (5000)

\Rightarrow 6 I = (126) 5000

\Rightarrow I =

Rs.

1, 05, 000

Hence, the correct option is (2) .

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