Indian Institute of Foreign Trade 2011 Solved Paper

He purchased a new vehicle with 40 percent of the money received. He then gave 20 percent of the remaining amountto each of his two sons for investing in their business. Thereafter, Mr. Sinha spent half of the remaining amount for renovation of his house. One-fourth of the remaining amount was then used for purchasing a LCD TV and the remaining amount - Rs. 1,35,000/- was deposited in a bank. What was the amount of his cash prize?
Let '100x' be the amount won by Mr. Sinha in the lottery contest.
The amount left with him after purchasing the new vehicle$=0.60\times 100\mathit{x}=60\mathit{x}.$
The amount left with him after distributing his two sons for investing in their business $=\left(1-2\times 0.20\right)\times 60\mathit{x}=36\mathit{x}.$
The amount left with him after renovating his house $=0.50\times 36\mathit{x}=18\mathit{x}.$
The amount left with him after purchasing the LCD TV $=0.75\times 18\mathit{x}=13.5\mathit{x}.$
It is given that, $13.5\mathit{x}=135000$
Therefore, 100x = 10,00,000. Hence, option A is the correct answer.