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 They observed that if they had withdrawn their respective amounts at the end of the fourth month, the ratio of their amounts would have been the same as the ratio after the sixth month.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?
Explanation:
Let their initial amounts be Rs. x
After 4 months: Jack's investment after 4 months = x × 124 = x16 Sristi's investment after 4 months = x - 15000 × 4 = x - 60000
After 6 months: Jack's investment after 6 months = x × 126 = x64 Sristi's investment after 6 months = x - 15000 × 6 = x - 90000
Ratio of their investments after 4 months = Ratio of their investments after 6 months.
⇒ x/16x-60000 = x/64x-90000
⇒ 4(x - 90,000) = x - 60,000 ⇒ 3x = 3,00,000 ⇒ x = 1,00,000
Hence, option (a).
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