Question

Mukesh bought some oranges. He sold one-third of
them at 10% profit, one-sixth of them at 40% profit,
and the remaining at a certain profit percentage. If he
made an overall profit of 25%, find the profit percent
made in selling the remaining oranges.​

Answer 1

Answer:

one first are remaining

Answer 2

The answer is 30%

GIVEN

Mukesh bought some oranges. He sold one-third of them at 10% profit, one-sixth of them at 40% profit, and the remaining at a certain profit percentage.He made an overall profit of 25%.

TO FIND

The profit percent made in selling the remaining oranges.

SOLUTION

We can simply solve the above problem as follows;

Let the total number of oranges = x

Cost price of oranges per oranges = y

Cost price of all oranges = Rs xy

Total profit = 25% of xy = 0.25xy

ATQ,

1/3 of oranges sold at 10% profit.

CP of 1/3 oranges = xy/3

Profit = 0.1xy/3

Profit of 1/6 of oranges = 0.4xy/6

Number of oranges left = x - (x/3 + x/6)

= x/2

Let he sold x/2 oranges at z% profit

CP of x/2 oranges = xy/2

Profit = z/100 (xy/2) = 0.0z × xy/2

Total profit = 0.1xy/3 + 0.4xy/6 + 0.0xyz/2 = 0.25xy

0.1xy/3 + 0.4xy/6 + 0.0xyz/2 = 0.25xy

10/3 + 40/6 + z/2 = 25

z/2 = 25 - (10/3 + 40/6)

z/2 = 15

z = 30

Profit% remaining oranges = z = 30%

Hence, The answer is 30%

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