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By how much above the cost should the goods be marked for sale, so that after allowing a trade discount of 20% and a cash discount of 6%, a net gain o
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By how much above the cost should the goods be marked for sale, so that after allowing a trade discount of 20% and a cash discount of 6%, a net gain of 20% on the cost is made?

A.

60% above the cost

B.

40% above the cost

C.

50% above the cost

D.

55% above the cost

Correct option is A

Suppose, the cost price of good = Rs. 100
Also, let the marked price = Rs. x
Now, since, the net gain is 20% of cost price. So, the selling price (SP),
SP = Cost price + Gain
SP = 100 + (20% of 100)
SP = 100 + 20 = Rs. 120
= [(100 - 6(1/4)]% of (100 - 20)% of x = 120
= (100 - 25/4)% of ( 80)% of x = 120
= 375/4×1/100×(80 x)/100=120
3x/4=120
x=120×4/3 =160
Since, 160 is 60% more than the 100.

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