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Padma purchased 80 kg of tomatoes for ₹320 and sold them at the rate of ₹4.50 per kg. Find the percentage of her gain.
Question

Padma purchased 80 kg of tomatoes for ₹320 and sold them at the rate of ₹4.50 per kg. Find the percentage of her gain.

A.

121212\frac{1}{2}%​

B.

6146\frac{1}{4}​%

C.

4164\frac{1}{6}​​%

D.

8138\frac{1}{3}​​%

Correct option is A

Given:
Cost Price (CP):

Total cost for 80 kg of tomatoes = ₹320

Selling Price (SP):

Selling rate per kg = ₹4.50

Total selling price for 80 kg = ₹4.50 × 80 = ₹360

Formula Used:
Profit=Selling Price (SP)Cost Price (CP)\text{Profit} = \text{Selling Price (SP)} - \text{Cost Price (CP)}
Profit Percentage=(ProfitCost Price)×100\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100
Solution:
Profit=SPCP=360320=40\text{Profit} = \text{SP} - \text{CP} = 360 - 320 = ₹40
Profit Percentage=(40320)×100=1212%\text{Profit Percentage} = \left( \frac{40}{320} \right) \times 100 = 12\frac{1}{2}\%

Option (A) is right.

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