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A retailer buys a bag containing 54 kg oranges at ₹25 per kg. Later upon sorting he finds that 4 kg oranges are rotten, he throws them and sells the r
Question

A retailer buys a bag containing 54 kg oranges at ₹25 per kg. Later upon sorting he finds that 4 kg oranges are rotten, he throws them and sells the remaining ones at ₹36 per kg. Find his profit percent.

A.

25%

B.

30%

C.

331333\frac{1}{3}%​

D.

40%

Correct option is C

Given:

Total quantity of oranges = 54 kg
Cost price per kg = ₹25

Rotten oranges = 4 kg (unsold)
Selling price per kg = ₹36

Formula Used:

Profit %=(SPCPCP)×100\text{Profit \%} = \left( \frac{\text{SP} - \text{CP}}{\text{CP}} \right) \times 100​​

Profit = Selling Price – Cost Price

Solution:

Total cost price = 54 × 25 = ₹1350

Usable oranges = 54 – 4 = 50 kg

Total selling price = 50 × 36 = ₹1800
Profit = ₹1800 – ₹1350 = ₹450
​Profit % ​=4501350×100=3313%= \frac{450 }{ 1350} × 100 = 33\frac 13\%

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