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A car worth Rs. 1,50,000 was sold by X to Y at 5% profit. Y sold the car back to X at 2% loss. In the entire transaction.

A.

X gained Rs. 4,350

B.

Y lost Rs. 4,350

C.

X gained Rs. 3,150

D.

X lost Rs. 3,150

Answer with explanation

Answer: Option CExplanation

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.

22

B.

21

C.

24

D.

26

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

A man buys a toy for Rs. 25 and sells it for Rs. 30. Find his gain/loss percentage.

A.

10%

B.

15%

C.

20%

D.

30%

Answer with explanation

Answer: Option CExplanation

Workspace

A dishonest merchant sells his grocery using weights 15% less than the true weights and makes a profit of 20%. Find his total gain percentage.

A.

41.17%

B.

42.75%

C.

32.85%

D.

40.5%

Answer with explanation

Answer: Option AExplanation

Let us consider 1 kg of the grocery bag. Its actual weight is 85% of 1000 gm = 850 gm.

Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.

SP of 1 kg of bag = 120% of the true CP

Therefore, SP = 120/100 * 1000 = Rs. 1200

Gain = 1200 – 850 = 350

Hence Gain % = 350/850 * 100 = 41.17%

Workspace

What profit percent is made by selling an article at a certain price if by selling at four-fifth of that price there may be a loss of 12 %?

A.

10 %

B.

25 %

C.

42 %

D.

20 %

Answer with explanation

Answer: Option AExplanation

Such question can be better answered by thinking in the reverse order.

Let the CP = 100, there is a loss of 12% in the final case i.e. SP = 100 – 12 = Rs 88.

Now this Rs. 88 is the four-fifth of the selling price as per the question.

The original selling price will be 88 × 5/4 = Rs. 110. CP =100.

There is a profit of Rs. 10, which is nothing but 10%, as the CP is taken to be Rs. 100

Workspace

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

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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

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

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