Question

A man went to a market to buy a total of 49 fruits consisting of apples and oranges. The number of apples he bought is equal to the cost of each orange (in rupees) and the number of oranges he bought is equal to the cost of each apple (in rupees). If he spent a total amount of 1200 on his purchase, then find the number of apples and oranges he purchased, given that he bought less number of oranges than apples.

Answer 1

Answer:

Number of apples = 24

Number of oranges = 25

Step-by-step explanation:

If no of apples = cost of an orange

and no of oranges = cost of an apple

then both will be equal on multiplying.

1200 spent on purchase that means on dividing by 2 it will be 600. So, find the perfect factors of 600 under 49, it will be 24 × 25 = 600.

(24 × 25) + (25 × 24) = 1200

600 + 600 = 1200

1200 = 1200

LHS = RHS