If the cost of 3 balls = cost of 2 pads, cost of 3 pads = cost of 2 gloves, cost of 3 gloves = cost of 2 bats, and the bat costs Rs.54, then the cost of the ball is:

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If the cost of 3 balls = cost of 2 pads, cost of 3 pads = cost of 2 gloves, cost of 3 gloves = cost of 2 bats, and the bat costs Rs.54, then the cost of the ball is:

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Rs. 12

Rs. 14

Rs. 16

Rs. 18

answer is C.

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Detailed Solution

Concept- To solve this question, we will use the unitary method, i.e., from the relation of the cost of gloves and bat, and the price of one bat (data on which is provided in the question statement), we will calculate the price of one pair of gloves. Then, using the relation of the cost of gloves and pads also provided in the question statement, we will calculate the price of one pair of pads. Finally, using the relation of the cost of pads and balls, provided in the question statement, we will calculate the price of one ball and obtain our desired answer.
Given, one bat costs Rs.54 and, cost of 3 gloves = cost of 2 bats, i.e.,
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Again, given, cost of 3 pads = cost of 2 gloves, i.e.,
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Finally, cost of 3 balls = cost of 2 pad
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Hence, the correct answer is 3) Rs.16

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