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Q.

If cost of 3cricket ball = cost of 2 pairs of leg pads.
If cost of 3 pairs of leg pads =cost of 2 pairs of gloves.
If cost of 3 pairs of gloves = cost of 2 cricket bats.
If a cricket bat costs Rs 54,
What is the cost of a cricket ball?

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a

12

b

14

c

15

d

16

answer is D.

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Detailed Solution

Concept: we’ll use the unitary method to find the cost of a cricket ball. This is a method in which you find the value of a unit and then the value of a required number of units. This method is used for evaluating the price of goods. We’ll start with cricket bat cost and gloves cost than leg pads cost and then 3 cricket ball cost.
It’s given that the cost of a cricket bat is Rs 54.

Cost of a cricket bat = Rs 54

Therefore,

Cost of 2 cricket bats = Rs 2 \times 54

Cost of 2 cricket bats = Rs 108

Given,

Cost price of 2 cricket bat = cost price of 3 pairs of gloves = 108

So, cost of 3 pairs of gloves is

Rs 108

.

Cost of a pair of gloves is = Rs \frac{108}{3} = 36

Therefore,

Cost of 2 pairs of gloves is = Rs 2 \times 36 = 72

Given,

Cost of 2 pairs of gloves = cost of 3 pairs of leg pads 72

So, cost of 3 pairs of leg pads is

Rs 72

.

Cost of a pair of leg pads = Rs \frac{72}{3} = 24

Therefore,

Cost of 2 pairs of leg pad = Rs 2 \times 24 = 48

Given,

Cost of 2 pairs of leg pads = cost of 3 cricket balls = 48

So, cost of 3 cricket balls is

Rs 48

.
Therefore,

Cost of a cricket ball = Rs \frac{48}{3} = 16

Hence, the cost of a cricket ball is

Rs 16

.

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