W, X, Y, and Z are four friends, who do not mind exchanging items. x has two chessboards each costing Rs. 500, and a record player. Z originally had a cycle and a walkman. Each cricket bat costs Rs. 700. Both W and Z got a cricket bat from Y. X gave his record player costing Rs. 2000 to Y. Z gets a camera costing Rs. 1500 from W. The cycle of Z costs Rs. 1000 and the walkman is for Rs. 700. Y had three cricket bats at the beginning and W had two cameras the total cost of which is Rs. 5000. X gave one of his chessboards to Z and took Z's cycle. Z gave his walkman to W.

**Even after exchanges, an item of highest value remained in possession of: **

#### Options

W

X

Y

Z

#### Solution

**W**

**Explanation:**

First we will arrange the given information as shown below:

X has 2 chessboards + 1 record player

∴ Cost = 2 × 500 + 1 × 2000

= 3000 (at the beginning)

After transaction he has only 1 cycle and 1 chessboard

∴ Total Cost = 1000 + 500 = 1500

So, loss of X = 1500

Z has 1 cycle + 1 walkman

∴ Cost = 1000 + 700 = 1700 (at the beginning)

After transaction he has only 1 bat and 1 chessboard and 1 camera

∴ Total cost = 1 bat + 1 chessboard + 1 camera = 700 + 500 + 1500 = 2700

∴ Profit = 1000

Y has 3 bats

∴ Total cost = 3 × 700 = 2100 (at the beginning)

After transaction he has only 1 record player and 1 bat

∴ Total cost = 2000 + 700 = 2700

∴ Profit of Y = 600

W has 2 cameras

Cost = 5000 (at the beginning)

After transaction he has only 1 bat, 1 camera and 1 walkman

∴ Total cost = 1 bat + 1 camera + 1 Walkman

= 700 + 3500 + 700 = 4900

∴ Loss = 100

∴ W has a highest value item.