A gambler won Rs. X in gambling. He decided to save 33.33℅ of the amount

Q. A gambler won Rs. X in gambling. He decided to save 33.33℅ of the amount. And then he invested 50℅ of the remaining amount in a bank that offers compound interest of 20℅ for 1 year and the interest is calculated on a half-yearly basis. After that, he started a business with the remaining amount with his friend. The investment of his friend is Rs. 1000 more than him in the business and the duration is the whole year. After 6 months he invested an additional 0.1x in a business which is the interest received from the bank. At the end of the year, a gambler received a profit which is 90.09% more than the amount received from the bank. If the total profit from the business is Rs.63500. find the amount he received from the business?

A. Rs.32000

B. Rs.31500

C. Rs.33000

D. Can’t be determined

E. None of these

Let us assume the gambler won = Rs.3X

He saved =1/3 of (3X)

He deposited 1/2 of (2X) In a bank.

And he invested remaining 1/2 of (2X) in a

business

He received 10℅ of X for the first 6 months and

10℅ of X received for the next 6 months

In a business,

He invested Rs. X for the first 6 months and then

he added the interest received from the bank

0.1x for the second next 6 months and his friend

invested Rs. X+1000 for the whole year

X * 6 + 1.1 X * 6 = 12.6 X

(2x + 1000)* 12 = 24 X

12.6X: 24X + 12000

The total profit received is Rs.63500

We cannot split the profit as per their investment

So, it is cannot be determined