Question

A trademan fixes his selling price of goods at 20% above the cost price. He sells half the stock at this price, One fourth of the stock at a discount of 15% on the original selling price and rest at a discount of 20% on the selling price. Find the gain percentage altogether. a)8.5%.
c)9.5%.
write the correct answer please.
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Answer 1

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A tradesman fixed the selling prices of goods at 30 % above the cost price. He sells half of the stock at this price, one-quarter of his stock at a discount of 15 % on the original selling price, and the rest at a discount of 30 % on the original selling price. Find the gain per cent altogether.

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Solution

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Correct option is D)

Let the cost price be Rs100

Then, Marked Price to get 30 %profit =Rs130

Let x goods be there, then total C.P. =100x

When he sells

2

1

the of the goods at Rs130, selling price will be for this amount of goods will be S.P.1=

2

1

×130×x=Rs65x

Now, Selling price of remaining

4

x

goods is (100−15)=85 % of Rs130=

100

85

×130=Rs110.50

Selling price will be for this amount of goods will be S.P.2=

4

1

×110.50×x=Rs27.625x

And Selling price of last

4

x

goods is (100−30)=70 % of Rs130=

100

70

×130=Rs91

Selling price will be for this amount of goods will be S.P.3=

4

1

×91×x=Rs22.75x

So, Total S.P. =Rs65x+Rs27.625x+Rs22.75=Rs115.375x

Profit % on the whole transaction =

C.P.

S.P−C.P.

×100=

100x

115.375x−100x

×100=15

8

3

Answer 2

ANSWER

Correct Answer is option (C) 9.5%

STEP BY STEP EXPLANATION

Let the C.P be Rs. 100

then M.P to get 20% profit = Rs. 120

Let x goods be there, then total C.P = Rs. 100x

When he sells 1/2 of the goods at Rs. 120, S.P will be for this amount of goods will be S.P.1

= 1/2× 120×x= 60x

Now, S.P of remaining x/4 goods is

(100-15) = 85% of RS. 120 = 85/100×120= Rs. 102

S.P will be for this amount of goods will be S.P.2》 1/4×102×x= Rs. 25.5x

And S.P for last x/4 goods is (100-20)=80% of Rs. 130= 80/100×120= Rs. 96

S.P will be for this amount of goods will be

S.P.3》1/4×96×x= Rs. 24x

So total S.P = Rs. S.P.1+S.P.2+S.P.3

》60x+25.5x+24x= Rs. 109.5x

Profit% on the whole transaction = S.P-C.P/C.P×100= 109.5x-100x/100x × 100= 9.5%.

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