The cost of 12 apples and 15 oranges is ₹660. The cost of 15 apples and 21 oranges is ₹870. Find the cost of one apple.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹30.
Let the cost of one apple and one orange be x and y, respectively.
12x + 15y = 660
⇒ 4x + 5y = 220
⇒ 28x + 35y = 1540 .....(1)
15x + 21y = 870
⇒ 5x + 7y = 290
⇒ 25x + 35y = 1450 .....(2)
Subtract equation (2) from equation (1),
3x = 90
⇒ x = 30
Therefore, the cost of one apple is ₹30.