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The cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?
Question

The cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?

A.

₹96

B.

₹ 129

C.

₹111

D.

₹ 126

Correct option is B

Given
Cost of 2 balls and 3 bats = ₹84
Cost of 3 balls and 1 bat = ₹63
Solution
Let the cost of 1 ball be x and 1 bat be y.
2x + 3y = 84
3x + y = 63
From the second equation, find y:
y = 63 - 3x
Substitute y into the first equation:
2x + 3(63 - 3x) = 84
2x + 189 - 9x = 84
7x = 105
x = 15
Substitute x back to find y:
y = 63 - 3(15) = 18
Cost of 5 balls and 3 bats = 5(15) + 3(18) = 75 + 54 = 129
Final Answer
So the correct answer is (b)

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