Knowee
Questions
Features
Study Tools

Arun loses 75% of his money in the first bet, 75% of the remaining in the second and 75% of the remaining in the third bet and returns home with Rs. 2 only. His initial money was?

Question

Arun loses 75% of his money in the first bet, 75% of the remaining in the second and 75% of the remaining in the third bet and returns home with Rs. 2 only. His initial money was?

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's solve this step by step:

  1. Let's assume Arun initially had 'X' amount of money.

  2. After the first bet, he lost 75% of his money. So, he was left with 25% of 'X'. Mathematically, this can be represented as 0.25X.

  3. After the second bet, he lost 75% of his remaining money. So, he was left with 25% of his remaining money, which is 25% of 0.25X. Mathematically, this can be represented as 0.25 * 0.25X = 0.0625X.

  4. After the third bet, he lost 75% of his remaining money. So, he was left with 25% of his remaining money, which is 25% of 0.0625X. Mathematically, this can be represented as 0.25 * 0.0625X = 0.015625X.

  5. According to the problem, Arun returned home with Rs. 2. So, 0.015625X = 2.

  6. To find the value of 'X', we can divide both sides of the equation by 0.015625. So, X = 2 / 0.015625 = 128.

Therefore, Arun initially had Rs. 128.

This problem has been solved

Similar Questions

Niccolo went to a horse race and bet 5%5% of all the money that he had in his wallet on one horse. He has $36$36 in his wallet.  If he loses the bet, determine the amount of money that he must pay out.

Arun spent 60% of his monthly salary on accommodation, 15% of remaining salary on entertainment and remaining salary he saved. If the difference of amount spent on accommodation and his saving is Rs 3510, then find his monthly salary?

Mr Ang bought a television set for his parents with 50% of his salary. He saved 60% of the remaining money in bank and had $180 left. How much did Mr Ang have at first?

A shopkeeper sells two watches for Rs. 300 each. On one he gains 20% and on the other, he loses 20%. His gain or loss percent in the whole transaction is :

Raja earns 22 % of his investment. If he earns Rs. 187, then how much did he invest ?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.