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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.
The person incurring the highest amount of financial loss through exchange lost an amount of
Options
Rs 600
Rs 1000
None
Rs 500
Solution
None
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
∴ The highest amount of loss is 1500.
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