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A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

A.

160%

B.

140%

C.

150%

D.

130%

Answer with explanation

Answer: Option BExplanation

Let the C.P. = x,

Then S.P. = (120/100)x = 6x/5

New S.P. = 2(6x/5) = 12x/5

Profit = 12x/5 – x = 7x/5

Profit% = (Profit/C.P.) * 100

=> (7x/5) * (1/x) * 100 = 140 %

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The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?

A.

Rs. 4725

B.

Rs. 5725

C.

Rs. 6725

D.

Rs. 6275

Answer with explanation

Answer: Option CExplanation

CP = SP * (100/(100 + profit%))

= 8339(100/124) = Rs. 6725.

Workspace

Every year before the festive season,a shopkeeper increases the price of the product by 35% and then introduce two successive discount of 10% and 15% respectively.what is percentage loss and percentage gain ?

A.

3.27 % gain

B.

4.15 % loss

C.

4.15 % gain

D.

3.27 % loss

Answer with explanation

Answer: Option AExplanation

Let cp= 100,

35 % increase in sp=135

10 % discount in 135[(135*10)/100] =13.5

so 1st sp= (135-13.5)=121.5, again 15 % discount in 1st sp [(121.5*15)/100]=18.225

2nd sp=(121.5-18.225)=103.275,

so finally cp=100,sp=103.275 ,gain by 3.27%

Workspace

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

A.

55

B.

60

C.

55

D.

45

Answer with explanation

Answer: Option BExplanation

(C.P. of 17 balls) – (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = Rs.720.

Workspace

A sells an article to B at gain of 25% B sells it to C at a gain of 20% and C sells it to D at a gain 10%. If D pays Rs. 330 for it, how much did it cost to A?

A.

Rs. 270

B.

Rs. 290

C.

Rs. 200

D.

Rs. 250

Answer with explanation

Answer: Option CExplanation

*First Method:*

Let Cost Price for A was 100.

Then CP for B = 100 + 25% of 100 = 125.

CP for C = 125 + 20% of 125 = 150.

CP for D = 150 + 10% of 150 = 165.

But, D pay Rs. 330. Then it must be equal to

165 = 330

1 = 330/165

100 = (330 * 100)/165 = 200.

Thus, CP for A = Rs. 200.

*Short-cut:*

A’s CP = 330*(100/125)*(100/120)*(100/110) = Rs. 200

Workspace

A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?

A.

200

B.

225

C.

250

D.

275

Answer with explanation

Answer: Option CExplanation

CP_{1} = 100 SP_{1} = 90

CP_{2} = 80 SP_{2} = 80 * (140/100) = 112

22 —– 100

55 —– ? => Rs.250

Workspace

A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

A.

1290

B.

1260

C.

1230

D.

1200

Answer with explanation

Answer: Option BExplanation

Let the new S.P be x, then

(100 – loss%) : (1st S.P.) = (100 + gain%) : (2nd S.P.)

=> x = 1260

Workspace

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x

A.

20

B.

18

C.

16

D.

14

Answer with explanation

Answer: Option CExplanation

Let the Cost Price of one article = Rs. 1

CP of x articles = Rs. x

CP of 20 articles = 20

Selling price of x articles = 20

Profit = 25% [Given]

Workspace

A trader sells his goods at a discount 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be:

A.

49.25%

B.

54.25%

C.

56.25%

D.

25.56%

Answer with explanation

Answer: Option CExplanation

Let the marked price = Rs. 100.

Then, SP = 100 – 20% of 100 = Rs. 80

Profit = 25%.

Let His CP = X.

SP = 80

X + 25% of X = 80

Hence, X = Rs. (100*80)/125 = Rs. 64.

CP = Rs. 64.

Profit after selling on marked price = 100-64 = Rs. 36

% gain = 36*100/64 = 56.25%.

Workspace

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A.

100%

B.

70%

C.

50%

D.

20%

Answer with explanation

Answer: Option BExplanation

Workspace

A person sells 320 mangoes at the cost price of 400 mangoes. What is his profit percent?

A.

15%

B.

25%

C.

10%

D.

20%

Answer with explanation

Answer: Option BExplanation

Let cost price of 400 mangoes = Rs. 400

Thus, selling price of 320 mangoes = Rs. 400

Cost price of 320 mangoes = Rs. 320

Profit percent = [(400 – 320) /320 ] * 100

= [80 / 320] * 100

= 25%

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