Question

A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy?

Answer 1

let man buys x dozens oranges of 5 rs dozen

so its cost price is 5x rs

let man buys x dozens oranges of 4 rs dozen

so its cost price is 4x rs

so total cost price is = 5x + 4x = 9x

let man sells 2x dozens oranges of 5.5 rs dozen

so total selling price is 11x rs


now profit = 11x - 9x =50

2x = 50

x = 25


so man buys 25 dozen of each type

i.e. 50 dozen