Question

The cost of 5 oranges and 3 apples is Rs. 35 and the cost of 2 oranges and 4 apples is Rs. 28. Find the cost of an orange and an apple.

Answer 1

Let the cost of an orange = Rs x

And the cost of an apple = Rs y

According to the question,

5x + 3y = 35

And 2x + 4y = 28

⇒ x + 2y = 14

By cross - multiplication method, we have

On taking I and III ratio, we get

⇒ x/28 = 1/7

⇒ x = 4

On taking II and III ratio, we get

⇒ y/35 = 1/7

⇒ y = 5

Hence, the cost of an orange is Rs. 4 and cost of an apple is Rs. 5