Question

A man purchased 840 oranges . He sells 1/4th of these at 20% loss . At what percent profit should he sell the remaining oranges so as to make a overall profit at 20% .

Answer 1

Given info : A man purchased 840 oranges . He sells 1/4th of these at 20% loss.

To find : at what percentage profit should he sell the remaining oranges so as to make overall profit at 20%.

solution : let price of each orange is 1 Rs.

a/c to question,

1/4th of 840 oranges is sold at 20% loss.

cost price of 1/4th of 840 oranges = 1/4 × 840 = 210 Rs.

now loss = 20% of 210 = 1/5 × 210

= 42 Rs.

overall profit = 20% of total oranges

= 20/100 × 840 = 168 Rs.

so profit in remaining oranges = overall profit + loss in 1/4th of total oranges

= 168 + 42 = 210 Rs.

now remaining orange = 840 - 210 = 630

and profit = 210 Rs.

so, percentage profit = 210/630 × 100

= 331/3 %

Therefore the percentage profit should be 33 1/3% in the remaining oranges so that he makes overall profit at 20%.

Answer 2

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let price of each orange is 1 Rs.

a/c to question,

1/4th of 840 oranges is sold at 20% loss.

cost price of 1/4th of 840 oranges = 1/4 × 840 = 210 Rs.

now loss = 20% of 210 = 1/5 × 210

= 42 Rs.

overall profit = 20% of total oranges

= 20/100 × 840 = 168 Rs.

so profit in remaining oranges = overall profit + loss in 1/4th of total oranges

= 168 + 42 = 210 Rs.

now remaining orange = 840 - 210 = 630

and profit = 210 Rs.

so, percentage profit = 210/630 × 100

= 331/3 %

Therefore the percentage profit should be 33 1/3% in the remaining oranges so that he makes overall profit at 20%.