Q: Two-thirds of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs.4000/-, find the value at which the consignment was purchased ?
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Let Price of consignment was 100.
2/3 I.e. 66.66% sold at 5% profit.
So, SP = 66.66 + 5% of 66.66 = 69.99 = 70 (approx.)
Rest, 33.33% sold at 2% loss.
SP = 33.33 - 2% of 33.33 = 32.66.
Total SP = 70 + 32.66 = 102.66
Profit = 4000
102.66 - 100 = 4000
2.66 = 4000
1 = 4000/2.66
100 = (4000*100)/2.66
100 = 150376 (Approx)
CP of consignment was Rs. 150376.