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Xavier Aptitude Test 2023 Paper

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Question : 60 of 102

Marks: +1, -0

Separately, Jack and Sristi invested the same amount of money in a stock market. Jack's invested amount kept getting reduced by

50 \%

every month. Sristi's investment also reduced every month, but in an arithmetic progression with a common difference of Rs. 15000 . They both withdrew their respective amounts at the end of the sixth month. They observed that if they had withdrawn their respective amounts at the end of the fourth month, the ratio of their amounts would have been the same as the ratio after the sixth month. What amount of money was invested by Jack in the stock market?

Rs. 100000
Rs. 120000
Rs. 150000
Rs. 180000
None of the above

Solution:

Let the amount invested by Jack and Sristi be '

x

'.

Jack's amount after four months will become

\; \frac{x}{2^4}

and after six months it will become

\; \frac{x}{2^6}

.

Sristi's amount after four months will become

x - (4 \times 15000)

and after six months it will become

x -

(6 \times 15000)

From the given information,

\;\; \frac{\; \frac{x}{z^2}}{x - (4 \times 15000)} = \; \frac{\; \frac{2}{2^3}}{x - (6 \times 15000)}

\; (x - (4 \times 15000)) \times 2^2 = x - (6 \times 15000)

\; 3 x = 300000

\; x = 100000 \; \text{'. '} \;

The amount invested by Jack and Sristi is 100000.

Option 'A' is correct.

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