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A dealer sold a mixer for Rs. 420 at a

loss of 12.5%. At what price should he have

sold it to gain 12.5%?

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A dealer sold a mixer for Rs. 420 at a

loss of 12.5%. At what price should he have

sold it to gain 12.5%?

Log in to add a comment

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Let the Cost price be CP.

Loss = CP * 12.5%

Selling Price with loss = SP = CP - loss = CP - CP * 12.5%

= CP * (100-12.5)/100

Rs 420 = CP * 87.5/100

CP = Rs 42, 000/87.5 = Rs 480

Profit expected = 12.5%

Selling price = C P + profit = CP + CP * 12.5 /100 = CP * 112.5/100

SP = Rs 480 * 112.5/100 = Rs 540

Loss = CP * 12.5%

Selling Price with loss = SP = CP - loss = CP - CP * 12.5%

= CP * (100-12.5)/100

Rs 420 = CP * 87.5/100

CP = Rs 42, 000/87.5 = Rs 480

Profit expected = 12.5%

Selling price = C P + profit = CP + CP * 12.5 /100 = CP * 112.5/100

SP = Rs 480 * 112.5/100 = Rs 540