Question

How much money did Disha win in all?

• A. 534
• B. 564
• C. 524
• D. 584

Answer 1

The correct option is C 524

Back calculating, we can find out the initial amount Disha started out with = 500 rupees

In round 1,She puts in $\frac{1}{5^{th}}$ of the amount= 100 rupees, which she loses and she has 500-100=400 rupees at the end of this round

In round 2, she invests the entire amount= 400 rupees and makes twice the amount= 800 rupees

In round 3, She puts in $\frac{1}{5^{th}}$ of the amount= 160 rupees, which she loses and she has 800-160=640 rupees at the end of this round

In round 4, she invests the entire amount= 640 rupees and makes twice the amount= 1280 rupees

In round 5, She puts in $\frac{1}{5^{th}}$ of the amount= 256 rupees, which she loses and she has 1280-256=1024 rupees at the end of this round

Finally left with 1024 rupees

Totally she has made = 1024-500= 524 rupees