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 1000 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 ?

Options

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

Answer

B

Explanation

By analysing the given information, we get
`A lt 3B. ….(i)`
`C gt B. …..(ii)`
`D = C-B ….(iii)`
`[because C gt B]`
`A=3D (iv)`

Chirag (C) `overset("buys")rarr` a Jacket `overset("for")rarr` Rs 1000.
[`because` Chirag (C) borrowed Rs 300 from Ashok.]
So, Chirag (C) `overset("had atleast")rarr` Rs (1000 - 300) – Rs 700.
Bashir (B) `overset("buys")rarr` a Sweater `overset("for")rarr` Rs 600.
[`because` Bashir (B) borrowed Rs 100 from Ashok.]
Bashir (B) `overset("had atleast")rarr` Rs (600 - 100) = Rs 500.
So, `A lt 3 xx` Rs. 500 or 1500. [From (i)]
[`because` Ashok (A) `overset("buys")rarr` 3 shirts `rArr` 3 `xx` Rs 200 `rArr` Rs 600.]
So, Ashok (A) `overset("had atleast")rarr` Rs (600 + 300 + 100) = Rs 1000.
By elimination, we get
Deepak (D) `overset("buys")rarr` a Shawl `overset("for")rarr` Rs 400.
From (iv), we get
`A=3 xx` Rs 400=Rs 1200.
Therefore, Deepak (D) `overset("buys")rarr` a shawl.