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If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.

A.

6:31

B.

11:30

C.

7:30

D.

31:6

Answer with explanation

Answer: Option CExplanation

Since S.P. = 5 (M.P. – S.P.) => 5 M.P. = 6 S.P.

M.P. = (6/5) S.P.

Since the percentage discount = Percentage profit,

65S.P − S.P65S.P×100 = S.P −C.PC.P×10065S.P – S.P65S.P×100 = S.P -C.PC.P×100

Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P

M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P

Therefore, Ratio of discount to C.P

= (M.P – S.P)/C.P = [{(7/5)C.P – (7/6)C.P} / C.P.]

= 7/30

Therefore, the ratio is 7 : 30

Workspace

A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

A.

18%

B.

20%

C.

22%

D.

24%

Answer with explanation

Answer: Option BExplanation

Let the cost price = Rs 100

then, Marked price = Rs 135

Required gain = 8%,

So Selling price = Rs 108

Discount = 135 – 108 = 27

Discount% = (27/135)*100 = 20%

Workspace

A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

A.

Rs. 660

B.

Rs. 760

C.

Rs. 860

D.

Rs. 960

Answer with explanation

Answer: Option DExplanation

Here always remember, when ever x% loss,

it means S.P. = (100 – x)% of C.P

when ever x% profit,

it means S.P. = (100 + x)% of C.P

So here will be (100 – x)% of C.P.

= 80% of 1200

= (80/100) * 1200

= 960

Workspace

By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:

A.

Rs 23

B.

Rs 25

C.

Rs 24

D.

Nonof these

Answer with explanation

Answer: Option CExplanation

Cost Price of 5 kg = Rs.(14*2 + x*3) = (28 + 3x).

Sell price of 5 kg = Rs. (22×5) = Rs. 110.

[{110 – (28 + 3x)}/(28 + 3x) ]* 100 =10

[82-3x/28 + 3x]= 1 / 10

820 – 30x = 28 +3x

33x = 792

x = 24

Workspace

Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction?

A.

Rs 1.10

B.

Rs 11

C.

Rs 16.50

D.

Rs 27.50

Answer with explanation

Answer: Option DExplanation

Cost price of 25 kg = Rs. (15 x 14.50 + 10 x 13) = Rs. 347.50.

Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.

profit = Rs. (375 — 347.50) = Rs. 27.50.

Workspace

The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ?

A.

Rs. 660

B.

Rs. 560

C.

Rs. 1060

D.

Rs. 960

Answer with explanation

Answer: Option DExplanation

Let C.P. = Rs. C.

Then, 832 – C = C – 448

2C = 1280 => C = 640

Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.

Workspace

What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?

A.

30 %

B.

25 %

C.

15 %

D.

20 %

Answer with explanation

Answer: Option DExplanation

SP2 = 2/3 SP1

CP = 100

SP2 = 80

2/3 SP1 = 80

SP1 = 120

100 — 20 => 20%

Workspace

Bhajan Singh purchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs 72 to the coolie. If he wants to have a gain of 8 %, what must be the selling price per ream?

A.

90

B.

89

C.

87.48

D.

86

Answer with explanation

Answer: Option AExplanation

Total investment = Rs. (120 * 80 + 280 + (40/100) * 120 + 72).

= Rs. (9600 + 280+48 + 72) = Rs, 10000.

Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.

Sell Price per ream = Rs. [10800/120] = Rs. 90.

Workspace

If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?

A.

600

B.

1200

C.

1800

D.

none of these

Answer with explanation

Answer: Option CExplanation

Least Cost Price = Rs. (200 * 8) = Rs. 1600.

Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.

Required profit = Rs. (3400 – 1600) = Rs. 1800.

Workspace

Arun bought a computer with 15 % discount on the labelled price. He sold the computer for Rs. 2880 with 20 % profit on the labelled price. At what price did he buy the computer?

A.

Rs. 3000

B.

Rs. 2080

C.

Rs. 2040

D.

Rs. 2000

Answer with explanation

Answer: Option CExplanation

Workspace

If a seller reduces the selling price of an item from Rs. 400 to Rs. 380 , his loss increases by 2 % . What is the cost price of the item?

A.

Rs. 1000

B.

Rs. 800

C.

Rs. 1200

D.

Rs. 1100

Answer with explanation

Answer: Option AExplanation

2% of the cost price =400−380=20

cost price =20×50=1000

Workspace

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?

A.

6%

B.

5%

C.

4%

D.

7%

Answer with explanation

Answer: Option BExplanation

C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

Gain =(80/1600*100) % = 5%

Workspace

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