CAT 2001 | Question: 144

Question

Four friends Ashok, Bashir, Chirag and Deepak are out shopping. Ashok has less money than three times the amount that Bashir has. Chirag has more money than Bashir. Deepak has an amount equal to the difference of amounts with Bashir and Chirag. Ashok has three times the money with Deepak. They each have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced Rs. $200,$ Rs. $400,$ Rs. $600,$ and Rs. $1,000$ a piece, respectively. Chirag borrows Rs. $300$ from Ashok and buys a jacket. Bashir buys a sweater after borrowing Rs. $100$ from Ashok and is left with no money. Ashok buys three shirts. What is the costliest item that Deepak could buy with his own money?

• A. A shirt
• B. A shawl
• C. A sweater
• D. A jacket

Answer 1

Answer is B) shawl.

How?

Given data: 

I	II	III	IV
A	A<3B	A = 3D	A=A-300-100
B			B=B+100     >> B=0
C	C>B	C=C+300
D	D=|B-C|

NOW, each have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced Rs. 200, Rs. 400, Rs. 600, and Rs. 1,000 a piece, respectively.

	Price	Who bought?
Shirt	200	3 shirts by A
Shawl	400
Sweater	600	B
Jacket	1000	C

So, after anlysing above tables, conclusion is : D has less than 500 Rs. so he can either buy shirt or shawl. the costiest is shawl. HEnce the answer.

Comments

B+100= 600 => B = 500.

C+300 = 1000 => C = 700.

So, D = C-B = 200?