A dealer a sold 3/4 of his article at the gain of 20% and the remaining at the cost price find the gain earned by him in the whole transaction
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Let CP of whole be Rs x.
CP of 3/4th = Rs 3x/4
CP of 1/4th = Rs x/4
∴ Total SP = Rs [(120% of 3x/4) + x/4]
Rs (9x/10 + x/4) = Rs 23x/20
Gain = Rs (23x/20 - x) = Rs 3x/20
∴ Gain % = (3x/20 X 1/x X 100)%
∴ Gain % = 15%.(ANS.)
CP of 3/4th = Rs 3x/4
CP of 1/4th = Rs x/4
∴ Total SP = Rs [(120% of 3x/4) + x/4]
Rs (9x/10 + x/4) = Rs 23x/20
Gain = Rs (23x/20 - x) = Rs 3x/20
∴ Gain % = (3x/20 X 1/x X 100)%
∴ Gain % = 15%.(ANS.)
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