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Question
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.
Who did not have a cricket bat after the exchange of items was over?
Options
W
X
Y
Z
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Solution
X
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
∴ X did not have a cricket bat at last.
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