Two apples and three mangoes cost Rs. 86. Four apples and one mango cost Rs. 112. What is the cost price of an apple?
Answer: 25
Explanation
Let's denote the cost of an apple as A and the cost of a mango as M.
Given equations:
2A + 3M = 86 ... (1)
4A + M = 112 ... (2)
Multiply equation (2) by 3:
12A + 3M = 336 ... (3)
Subtract equation (1) from equation (3):
(12A - 2A) + (3M - 3M) = 336 - 86
10A = 250
A = 250 / 10
A = 25
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