Question

10. Robin purchased 250 kg apples at the price of 100 per kg and one-fifth of the total apples was sold at the loss of 30%. What should be the selling price of rest of the apples such that the total profit percentage becomes 20%?​

Answer 1

The answer is Rs 2500

GIVEN

Robin purchased 250 kg apples at the price of 100 per kg and one-fifth of the total apples was sold at the loss of 30%.

TO FIND

What should be the selling price of rest of the apples such that the total profit percentage becomes 20%?

SOLUTION

We can simply solve the above problem as follows;

We are given,

Total weight of apples purchased = 250 kg

Cost of 1 kg of apples = 100 Rs

Cost price of 250 kg of apples = 100 × 250 = Rs 25000

Number of 1/5th apples = 250 × 1/5 = 50 kg

Loss% = 30%

Cost price of 50 kg of apples = 50 × 100 = 5000 Rs

Let the SP of 50 kg apples be = X

Loss% = ((CP - SP)/CP) × 100

30/100 = (5000-X)/5000

1500 = 5000-X

X = 5000-1500 = 3500 Rs

Now,

Let the Selling price of total apples = Y + 3500

Where,

Y = Selling price of rest of the apples.

Profit% = 20

Therefore,

Profit% = ((SP-CP)/CP) × 100

20/100 = (Y + 3500 - 5000)/5000

1000 = Y - 1500

Y = 1000 + 1500 = 2500

Hence, The answer is Rs 2500

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