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The cost of 2" " kg of apples and 2" " kg of grapes on a day was found to be ₹160. After a month, the cost of 4" " kg of apples and 3" " kg of grapes
Question

The cost of 2" " kg of apples and 2" " kg of grapes on a day was found to be ₹160. After a month, the cost of 4" " kg of apples and 3" " kg of grapes was ₹ 300 . Assuming the costs were not changed during the month, the cost of apples (per kg ) will be:

A.

Rs. 20

B.

Rs. 40

C.

Rs. 120

D.

Rs. 60

Correct option is D

Given:

Cost of 2 kg apples + 2 kg grapes = ₹160

Cost of 4 kg apples + 3 kg grapes = ₹300

Let:

Cost of 1 kg apple = ₹x

Cost of 1 kg grape = ₹y

Solution:

2x + 2y = 160 ______(Equation 1)

4x + 3y = 300 ______(Equation 2)

x + y = 80

y = 80 – x__________(Equation 3)

4x + 3(80 - x) = 300

4x + 240 - 3x = 300

x + 240 = 300

x = 60

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