Question

A man sold 2 articles at Rs. 6000 each. These were sold at 25% gain and 25% loss respectively. Find gain or loss percent in the whole transaction?

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Answer 1

SP of each cycle = Rs. 6000

Gain = 20%

Loss = 20%

Formula Used:

SP = CP × {(100 + Profit %)/100}

SP = CP × {(100 - Loss %)/100}

Loss% = {(CP - SP)/CP} × 100

Where,

SP = Selling price

CP = Cost price

Calculation:

Let the cost price of the first and second cycles is CP1 and CP2 respectively

Total SP = 6000 × 2

⇒ 12000

According to the question, we have

6000 = CP1 × {(100 + 20)/100}

⇒ CP1 = (6000 × 5)/6

⇒ CP1 = 5000

and

6750 = CP2 × {(100 - 20)/100}

⇒ CP2 = (6000 × 5)/4

⇒ CP2 = 7500

Total CP = CP1 + CP2

⇒ 5000 + 7500

⇒ 12500

Now, total CP is greater than total SP

Loss % = {(12500 - 12000)/12500} × 100

⇒ (500/125)

⇒ 4%

∴ The total loss percentage is 4%.

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Answer 2

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