# CRE 4 - Profit & Loss | Percentage, Profit & Loss

**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

By selling a TV Trolley for Rs 1800 a carpenter loses 10%. Find his cost price

- A.
Rs. 1600

- B.
Rs. 1608

- C.
Rs. 2100

- D.
None of these

Answer: Option D

**Explanation** :

SP = 1800 = 90% of CP = 90/100 × CP.

⇒ CP = 1800 × 100/90 = Rs. 2000.

Hence, option (d).

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

SP of an article is Rs. 80 and loss is 20%. Find the cost price

- A.
Rs. 48

- B.
Rs. 12

- C.
Rs. 100

- D.
None of these

Answer: Option C

**Explanation** :

CP = 80 × 100/80 = 100 Rs.

Hence, option (c).

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

By selling a watch for Rs 480 a man gains 20%. Find what would have been his profit or loss percent of he had sold it for Rs. 320

- A.
Profit 10%

- B.
Loss 10%

- C.
Loss 20%

- D.
None of these

Answer: Option C

**Explanation** :

Selling Price of a watch = Rs. 480

Profit = 20%

Hence, SP = CP(1 + P/100)

⇒ 480 = CP(1 + 20/100)

⇒ Cost Price of the watch = Rs. 400

Now, If the selling price of the watch is Rs. 320

Then, Loss % = (400 - 320) × 100/400

⇒ Loss % = 20%

Hence, option (c).

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

By selling oranges for 10 a Rs a man loses 10%. How many for a Rs. he should sell the oranges to gain 80%?

- A.
9

- B.
7

- C.
12

- D.
None of these

Answer: Option D

**Explanation** :

Selling price of 1 orange = Rs. 1/10

Loss % = 10%

Now, SP = CP(1 - L/100)

⇒ 1/10 = CP(1 - 10/100)

Therefore, Cost Price of 1 orange = Rs. 1/9

Now, if he had to gain 80% then,

SP = 1/9(1 + 80/100)

⇒ SP = 1/9 × 18/10

⇒ SP = Rs. 1/5

Hence, he should sell 5 oranges for a Rs. to gain 80%.

Hence, option (d).

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A fruit seller buys some mangoes at a rate of 20 for Rs. 3 and sells them at rate of 25 for Rs 4. Find his gain or loss%

- A.
6.66% profit

- B.
1% loss

- C.
1.23% loss

- D.
None of these

Answer: Option A

**Explanation** :

Let number of mangoes = 100

CP of 20 = 3 Rs.

∴ CP of 100 = 15 Rs

SP of 25 = 4 Rs

∴ SP of 100 = 16 Rs

∴ Profit =1/15 × 100 = 6.66%

Hence, option (a).

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

Two articles are sold at Rs. 1000 each. One at a profit of 30%, while other at a loss of 30%. Find real profit or loss%.

- A.
9% gain

- B.
9% loss

- C.
No profit no loss

- D.
None of these

Answer: Option B

**Explanation** :

Net percentage change = 30 - 30 - (30 × 30)/100

⇒ Net change = -30^{2}/100

⇒ There is a real loss of 9%.

Option B is the correct answer.

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A man bought 2 oranges for Rs. 5 and sells at a rate of 3 for Rs. 7. His real loss % is

- A.
$6\frac{2}{3}\%$

- B.
$7\frac{1}{7}\%$

- C.
$7\frac{2}{7}\%$

- D.
None of these

Answer: Option A

**Explanation** :

Let no. of orange = 6

CP of 2 = 5

∴ CP of 6 = 15

SP of 3 = 7

SP of 6 = 14

∴ Loss% = 1/15 × 100 = $6\frac{2}{3}\%$

Hence, option (a).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

If selling price of 8 articles is equal to cost price of 10 articles. Find real profit or loss

- A.
20% profit

- B.
25% profit

- C.
30% profit

- D.
None of these

Answer: Option B

**Explanation** :

SP of 8 = CP of 10 = CP of 8 + CP of 2

∴ Profit% =2/8 × 100 = 25%

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

If selling price of 10 articles is equal to cost price of 8 articles. Find real profit or loss%

- A.
10% loss

- B.
20% loss

- C.
30% loss

- D.
None of these

Answer: Option B

**Explanation** :

SP of 10 = CP of 8 = CP of 10 – CP of 2

∴ loss % = 2/10 × 100 = 20%

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

By selling 45m of cloth a merchant gains the cost price of 15m. Find his real profit or loss%

- A.
20% profit

- B.
40% profit

- C.
33.33% profit

- D.
None of these

Answer: Option C

**Explanation** :

SP of 45m - CP of 45m = CP of 15m

⇒ SP of 45m = CP of 45m + CP of 15m

⇒ Gain % = 15 × 100/45

Therefore, profit % = 33.33%

Hence, option C is the correct answer.

Hence, option (c).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

By selling 33m of a merchant gains the selling price of 11m. Find his real profit or loss%

- A.
20% profit

- B.
50% profit

- C.
60% profit

- D.
None of these

Answer: Option B

**Explanation** :

Selling Price = Cost Price + Profit

SP of 33 = CP of 33 + SP of 11

SP of 22 = CP of 33

∴ Profit% = 11/22 × 100 = 50%

Hence, option B is the correct answer.

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A man sold a watch for Rs 75 and got a profit percentage equals to cost price. Find Cost Price of the watch.

- A.
Rs. 50

- B.
Rs. 60

- C.
Rs. 90

- D.
None of these

Answer: Option A

**Explanation** :

Let the cost price be Rs. x

Hence, P% = x%

SP = CP(1 + P/100)

⇒ 75 = x(1 + x/100)

⇒ x = 50

Hence, cost price of the watch is Rs. 50

Hence, option (a).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A man bought goods for Rs. 800 and sold half at a gain of 5%. Find at what % gain, he must sell the remaining so as to gain 20% on the whole?

- A.
25%

- B.
30%

- C.
40%

- D.
None of these

Answer: Option D

**Explanation** :

SP of 1st half = 400 × 105/100 = Rs. 420

SP of whole = 800 × 120/100 = Rs. 960

Therefore, Second half he should sell at = (540 – 400) × 100/400 = 140 × 100/400 = 35% profit.

Hence, option (d).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A man buys milk at Rs. 2.40/litre. He adds one third water to it and sells the mixture at RS. 2.88/litre. Find his gain%?

- A.
50%

- B.
40%

- C.
35%

- D.
60%

Answer: Option D

**Explanation** :

Recognize, for every 3 litre of milk purchased, 4 litres of mixture is sold.

CP for 3 litres milk = 3 × Rs. 2.40 = Rs. 7.20

SP for 4 litres mixture = 4 × Rs. 2.88 = Rs. 11.52

∴ Profit% = (11.52 - 7.20)/7.20 = 0.6 = 60%

Hence, option (d).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A buys an article and sells it to B at a profit of 10%, B sells it to C gaining 20%. If C gives Rs. 924, what did A give?

- A.
Rs. 725

- B.
Rs. 700

- C.
Rs. 650

- D.
Rs. 750

Answer: Option B

**Explanation** :

Let cost price of A be (CP)_{A}, of B be (CP)_{B} and that of C be (CP)_{C}.

Similarly, selling prices be designed as (SP)_{A} ; (SP)_{B} and (SP)_{C}

If (CP)_{A} = x

Then, (CP)_{B} = (SP)_{A} = 1.1 x

(CP)_{C} = (SP)_{B} = (1.2) (1.1) x = Rs. 924 ⇒ x = Rs. 700

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A shopkeeper sold an article at a gain of 25%. If he had paid Rs. 1.75 less for it and sold it at the same price he would have made a gain of 60%. Find the cost price?

- A.
Rs. 17.50

- B.
Rs. 9.25

- C.
Rs. 12.50

- D.
Rs. 8

Answer: Option D

**Explanation** :

Let CP = Rs. x and SP = Rs. 1.25 x

But it is given that, $\frac{1.25x-(x-1.75)}{x-1.75}$ = 0.6

⇒ 0.25 x + 1.75 = 0.6 x – 1.05

⇒ x = Rs. 8

Hence, option (d).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A boy buys eggs at 18 for Rs. 16 and sells them at 22 for Rs. 20. Find his gain or loss percent?

- A.
$7\frac{1}{11}\%$

- B.
$2\frac{3}{11}\%$

- C.
$2\frac{5}{11}\%$

- D.
$7\frac{2}{11}\%$

Answer: Option B

**Explanation** :

CP : 18 eggs for Rs. 16

⇒ 1 egg for Rs. 16/18

SP : 22 egg for Rs. 20

⇒ 1 egg for Rs. 20/22

= $\left[\left(\frac{20}{22}-\frac{16}{18}\right)/\left(\raisebox{1ex}{$16$}\!\left/ \!\raisebox{-1ex}{$18$}\right.\right)\right]\times 100$

= $\left[\left(\frac{180-176}{198}\right)/\left(\raisebox{1ex}{$16$}\!\left/ \!\raisebox{-1ex}{$18$}\right.\right)\right]\times 100$

= $\frac{4}{198}\times \frac{18}{16}\times 100$ = $\frac{1}{44}\times 100$ = $2\frac{3}{11}$

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

I bought two buffaloes for Rs. 1200 and sold one to lose 5% and the other to gain 7% and on the whole I neither lost nor gained. What did each cost?

- A.
Rs. 400, Rs. 800

- B.
Rs. 600, Rs. 600

- C.
Rs. 700, Rs. 500

- D.
Rs. 900, Rs. 300

Answer: Option C

**Explanation** :

Let the CP’s of buffaloes be Rs. x and (1200 – x).

Then, it is given that 0.95 x + 1.07 (1200 – x) = 1200

⇒ 0.12x = 84

⇒ x = 700

∴ Cost of other buffalo = Rs. 500

Hence, option (c).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A man buys apples at a certain price per dozen and sells them at eight times per hundred. What does he Gain or Loss %?

- A.
4% loss

- B.
4% gain

- C.
$6\frac{1}{4}$% loss

- D.
$6\frac{1}{4}$% gain

Answer: Option A

**Explanation** :

Easiest way to solve such problems is to assume some simple values

Let 120 apples be purchased at Rs. 12/dozen

Thus, total cost of purchase = Rs. 12 × 10 dozen = Rs. 120

Now, SP = Rs. 96 apples/100

⇒ 96/100 × 120 = SP for 120 apples = Rs. 115.20

∴ Loss% = 4.8/120 × 100 = 4%

Hence, option (a).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

Arun sold an article to Babu at a profit of 10%. Babu sold it to Chander for Rs. 60.50 and also gained 10%. What did Arun pay for it?

- A.
Rs. 45.45

- B.
Rs. 55.00

- C.
Rs. 50.0

- D.
Rs. 56.50

Answer: Option C

**Explanation** :

Let the (CP)_{Arun} = x

Then, (SP)_{Arun} = (CP)_{Babu }= 1.1 x

(SP)_{Babu }= (CP)_{Chander} = Rs. 60.5 = (1.1) (1.1)x

⇒ x = 60.5/1.1^{2} = Rs. 50

Hence, option (c).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

The manufacturer of a machine sells it to a wholesaler at a profit of 20%. The wholesaler, in turn, sells it to a retailer at a gain of 10%. The retailer sells it to a customer for Rs. 1452 at a gain of 10%. The cost price of the machine for the manufacturer is:

- A.
Rs. 870

- B.
Rs. 1000

- C.
Rs. 1050

- D.
Rs. 1200

Answer: Option B

**Explanation** :

Let the manufacturers cost price be m. Then,

(SP)_{manufacturer }= (CP)_{wholesaler} = 1.2 m

(SP)_{wholesaler} = (CP)_{retailer} = (1.1) (1.2) m

(CP)_{retailer} = (CP)_{customer} = (1.1) (1.1) (1.2) m = Rs. 1452

⇒ 1.452m = 1452

m = 1452/1.452 = 1000

Hence, option (b).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A manufacturer sells goods to a dealer at 10% profit and the dealer to his customer at 12.5% profit. How much does a customer pay above the original cost of goods purchased by him for Rs. 990?

- A.
Rs. 150

- B.
Rs. 175

- C.
Rs. 190

- D.
Rs. 210

Answer: Option C

**Explanation** :

Let Manufacturer’s price be M. Then,

(SP)_{manufacturer} = (CP)_{dealer} = 1.1 m

(SP)_{dealer} = (CP)_{customer} = (1.125) (1.1) m

i.e. (1.125) (1.1) m = 990 ⇒ m = 800

∴ customer paid Rs. (990 – 800) = Rs. 190 above the manufacturer’s prize.

Hence, option (c).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

A person sold 480 meters of cloth for Rs. 225 gaining thereby the cost of 72 meters. Find his gain percent?

- A.
20%

- B.
18%

- C.
15%

- D.
12%

Answer: Option C

**Explanation** :

Compute selling price of 1 m cloth = Rs. 225/480 = Rs. 15/32

Let CP of 1 m cloth be x. Hence, CP of 480 m = 480 x

Then gain = 72x

gain % = (72x)/(480x) × 100 = 15%

Hence, option (c).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

Mohan sells 2 cars for Rs. 20000 each, neither gaining nor losing in the deal. If he sells one car at a loss of 20%, then the other car must have sold at a gain of

- A.
32%

- B.
23.5%

- C.
25%

- D.
33.33%

- E.
None of these

Answer: Option D

**Explanation** :

Cost price of the car sold at 20% loss = 100 × SP/80 =100 × 20000/80 = 25000.

Now he has incurred a loss of Rs. 5000 on this.

Now as on the whole there is "no" net loss hence he must have gained Rs. 5000 in the second.

Selling price of the second product = 20000. Profit = Rs. 5000.

So Cost Price of the second product = 20000 - 5000 = 15000.

Percentage Profit = 100 × 5000 / 15000 = 33.33%.

Hence, option (d).

**Video Solution**:

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**CRE 4 - Profit & Loss | Percentage, Profit & Loss**

Two houses were sold for Rs. 130000 each, one at a loss of 30% and the other at a gain of 30%. The entire transaction resulted in

- A.
no loss, no gain

- B.
loss of 10%

- C.
gain of 12%

- D.
gain of 20%

- E.
None of these

Answer: Option E

**Explanation** :

Since the two houses are sold for 130000 each, Now use P + Q + PQ/100

We get 30 – 30 + (-30 × 30)/100 = -9%. So there will be a loss of 9%.

Hence, option (e).

**Video Solution**:

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