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
