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​Rahim purchased 20 kg of oranges at the rate of ₹45/kg and sold them at the rate of ₹54/kg. During this period 1.5 kg oranges got spoiled. He sold th
Question

​Rahim purchased 20 kg of oranges at the rate of ₹45/kg and sold them at the rate of ₹54/kg. During this period 1.5 kg oranges got spoiled. He sold the spoiled oranges at the rate of ₹10/kg. His net gain or loss percent is:

A.

1223\frac{2}{3}% gain

B.

14% gain

C.

1323\frac{2}{3}​% loss

D.

14% loss

Correct option is A

Given:

Purchase rate of oranges = ₹45 per kg

Selling rate of good oranges = ₹54 per kg

Spoiled oranges = 1.5 kg

Selling rate of spoiled oranges = ₹10 per kg

Total weight of oranges purchased = 20 kg

Formula Used:

Total cost price (C.P.) = Purchase price × Quantity purchased.

Total selling price (S.P.) = Selling price of good oranges + Selling price of spoiled oranges.

Profit or Loss = S.P. - C.P.

Profit or Loss Percent = Profit or LossC.P.×100\frac{\text{Profit or Loss}}{\text{C.P.}} \times 100​​

Solution:

C.P.=20×45=900\text{C.P.} =20×45=₹900​​

S.P. (good oranges)=18.5×54=999\text{S.P. (good oranges)} = 18.5 \times 54 = ₹999​​

S.P. (spoiled oranges)=1.5×10=15\text{S.P. (spoiled oranges)} = 1.5 \times 10 = ₹15​​

Total S.P.=999+15=1014\text{Total S.P.} = ₹999 + ₹15 = ₹1014​​

Profit=S.P.C.P.=1014900=114\text{Profit} = \text{S.P.} - \text{C.P.} = 1014 - 900 = ₹114​​

Profit Percent=114900×100=1223%\text{Profit Percent} = \frac{114}{900} \times 100 = 12\frac{2}{3}\%

Option (A) is right.

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