Cpt i need help in this question

X sent out goods costing Rs.80000 to Y as to show 20% profit on invoice price. 40% goods were lost in transit. 60% of goods received were sold half at invoice price and the balance at 25% above invoice price. Rate of commission is 10% on sales at invoice price plus 50% of gross sales less all commission exceeds the invoice price. the amount of commission would be: A. Rs.3600 B. Rs.3900 C. Rs.8100 D.None
Replies (4)

GIVEN:C.P=80000,PROFIT=20% OF I.P OR 25% OF C.P,

FROM ABOVE RELATION OF PROFIT ON C.P.We get the I.P f the goods as:I.P.=125%*80000=100000

Now,I.P of the goods received by Y(CONSIGNEE)=60%*100000=60000.

Goods sold by consignee=(60%*60000)/2 + {(60%*60000)/2}*125%

                                    =18000 + 22500=40500

Commission=10%*18000 + 50%*(40500-36000)

                  =1800 + 2250=4050

But the answer is given as Rs3900
Originally posted by : alfiya
But the answer is given as Rs3900

But I don't find any error in the solution....indecision

Goods received by consignee at invoice price (60% of Rs.100000) = Rs.60000

Sales = (60000 x 60%)/2 + (60000 x40%) x 1.25 = Rs.18000 + Rs.30000

Let total commission be X

X = (24000 x 10%) + 1/2 [(30000 - x) - 24000

X = 2400 + 1/2 (6000 - X)

1.5 X = 5400

X = 5400/1.5 = Rs.3600

Total Commission = Rs.3600

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