Ankur has five times as much money with him as Varun does. Each day, Ankur spends a constant amount of money while Varun earns a fifth of the amount that Ankur spends. After 10 days, the ratio of the amounts with Ankur and Varun is 15 : 7. After-how many more days will the ratio of the amounts with them be 5 : 9?
Explanation:
Let Ankur and Varun have Rs. 5A and Rs. A respectively.
If Ankur spends Rs. 5x every day, Varun earns Rs. x every day.
Given, (5S - 50x) / (S + 10x) = 15/7
⇒ S = 25x.
Let their amounts be in the ratio 5 : 9, n days from the start
5S - n × 5xS + nx=125x - 5nx25x + nx=59
⇒ n = 20
∴ After 10 more days, the ratio will be 5 : 9
Hence, option (d).
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