# Quant Quiz – Profit & Loss – 14

Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz on Profit & loss.

Q:1- A seller gains the cost of 50 dozen apples by selling 30 dozen of apples. Then the gain profit percent is:

1. 33 1/3%
2. 66 2/3%
3. 50%
4. 40%
5. 43%

Option:Â 2

Explanation:

Given that, CP of 50 dozen of apples is equal to selling of 25 dozen of apples.

Â Â Â Â Â Â Â Â Â Â Â Let the CP of 1 dozen of apple = Rs.1

Â Â Â Therefore CP of 50 dozen apples Â Â = Rs.50

Â Â Â Â Â Â Given, SP of 30 dozen apples = Rs.50

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â SP of 1 dozen apples Â =Rs.5/3

Profit of 1 dozen apples(SP-CP) = Rs.(5/3-1)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.2/3

Â Then, Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â profit % =(Â²/Â³/1Ã—100)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 6623%.

Q:2- A shopkeeper purchased 180 identical pieces of FMs at the rate of Rs.290 each. He spent an amount of Rs.2800 on transport and packing. He fixed the labelled price of each FM at Rs.360. However, he decided to give a discount of 6% on the labelled price. What is the percentage profit earned by him ?

1. 9.1%
2. 9.7%
3. 10.7%
4. 11.7%
5. 12%

Option:Â 3

Explanation:

Cost price of each FM = Rs.[290+2800/180]

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs. 305.5

Â Â Â Â Â Â Â Â Â Â Â Â Â Â SP of each FM Â Â Â Â Â Â Â Â Â Â Â = Rs.(94100Ã—360)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs. 338.4

So, Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Profit % Â Â = (32.9305.5Ã—100)%

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 10.7%.

Q:3- Deepak bought a computer for Rs.59,245 and spent Rs.6,420 on its repairs. If he sells at Rs.61,425 then what will be his loss percentage ?

1. 6.15%
2. 6.25%
3. 6.35%
4. 6.45%
5. 6.66%

Option:Â 4

Explanation:

Price of computer =Rs. 59,245

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Repairing price Â Â = 6420

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â CP = computer price + Repairing price

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 59245 + 6420

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Â 65,665

Â Â Â Â Â Â Â Selling price Â Â Â = 61,425

Â Loss Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = CP â€“ SP

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 65,665 â€“ 61,425

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 4240

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Loss% Â Â = ( 4240/65665 Ã— 100)%

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 6.45%.

Q:4 Rohan bought 100 dozen of pens at 15 per dozen. He spent Rs.600 on a particular tax. He sold them at Rs.2 per each pens. What was his profit or loss percentage ?

1. 13.28%
2. 14.28%
3. 12.28%
4. 21.21%
5. 24.24%

Option:Â 2

Explanation:

Total pens = 100 Ã— 12

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1200

Â Cost price of 1 dozen of pens = Rs.15

Cost price of 100 dozen of pens = Rs.100 Ã— 15

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.1500

Â Â Â Â Â Â Â Â Â Â Â Â Â Amount of tax paid Â Â = Rs.600

Therefore , the total CP = Rs.(1500 + 600)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.2100

Selling price of pens = Rs.2 per each pens

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Total SP Â Â = Rs.(1200 Ã— 2)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.2400

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Profit = Rs.(SP-CP)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.(2400-2100)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.300

Â Â Â Â Â Â Â Â Â Â Â Profit% = (300/2100Ã—100)%

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 14.28%.

Q:5- A article when sold with 10% rebate on the listed price gave a profit of Rs.85. What was its cost price ?

1. Rs.485
2. Rs.490
3. Rs.540
4. Cannot be determined.
5. None of these

Option:Â 4

Explanation:Â Since the marked price is not given, so the cost price cannot be determined.

Q:6- If a commission of 10% is given on the written price of an article, the gain is 20%. If the commission is increased to 18%, the gain is :

1. 913%
2. 8.5%
3. 10%
4. 823%
5. None of these

Option:Â 1

Explanation:

Let the marked be Rs.100.

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Then, Â Â Â Â Â Â Â SP Â = Rs.90 .

(given,gain = 20%), CP Â = Rs.(100/120Ã—90) Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.75

Â New commission = 18%

Â Â Â Then, new commission = Rs.18 ; new SP = 82

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â New profit Â = Rs.(82-75) = Rs.7 Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â New profit % = (7/75Ã—100)%

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 913 %.

Q:7- A shopkeeper sold a Fridge for Rs.19,902 with a discount of 7% and earned a profit of 24%. What would have been the percentage of profit earned if no discount was offered ?

1. 30.22%
2. 31.33%
3. 33.34%
4. 40%
5. None of these. Â

Option:Â 3

Explanation:

Selling price = 19,902

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Let the marked price be Rs.x.

Â Then, Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 93x/100 Â = 19,902

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X = Rs.(19902Ã—100/93) Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.21,400

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Cost Price Â = Rs(100/124Ã—19902)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.16050

Â Now Â Â Â C.P. = 16,050; S.P. = 21,400(no discount.)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Profit Â Â = Rs.5350

Â Â Â Â Â So, Required Profit % = (5350/16050Ã—100)%

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 33.34%.

Q:8- Deepak sells 33 article at Rs.550 per article after giving 12% discount and earned 25% profit. If the discount is not given, the profit gained is :

1. 41Â½%
2. 42Â 1/22%
3. 43Â 1/33%
4. 44%
5. None of these.

Option:Â 2

Explanation:

S.P. of 1 article = Rs.550

Let marked price of each article be Rs.x

Â Then, Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 88x/100 = 550

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X = Rs.(550Ã—100/88)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Rs.625

Â Â Â Â Â Â Â Â Â Â Â Â Cost price Â = Â Rs.(100/125Ã—550)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Rs.440

Â Now, C.P. Â = Rs.440 ; Â S.P. = 625 (no discount)

Â Â Â Â Â Â Â Â Â Â Required profit % = (185/440Ã—100)%

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 42Â 1/22%

Q:9- At what price should a shopkeeper mark a Watch that costs him Rs.1200 in order that he gave offer a discount of 16% Â on the marked price and still make a profit of 33% ?

1. 1700
2. 1800
3. 1900
4. 2000
5. None of these.

Option:Â 3

Explanation:

Cost price of Watch =Rs. 1200

Â Â Â Â Â Â Â Â Â Â Selling price of watch = Â 133% of Rs.1200

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Rs.1596

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Let marked be Rs.x.

Â Â Â Â Â Â Â Â Â Â Â Â Then, Â Â Â Â Â Â Â Â 84% of x = 1596

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X = 1596Ã—100/84

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Marked price Â = Rs.1900.

Q:10- A shopkeeper earns a profit of 14% on selling a chair at 8% discount on the printed price. The ratio of the cost price to the printed price of the chair is :

1. 45 : 56
2. 46 : 57
3. 56 : 45
4. 57 : 46
5. None of these. Â Â Â Â Â Â

Option:Â 2

Explanation:

Let Cost Price be Rs.100.

Then, Â Â Â Â Â Â Â Selling price Â Â = Rs.114

Â Â Â Â Â Â Â Â Â Let printed price be Rs.x.

Then, Â Â Â Â Â Â Â Â Â Â Â Â Â Â 92% of x = 114

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X = 114 Ã— 100/92

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X =Rs.2850/23

So, required ratio Â = 100 : 2850/23

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2300 : 2850

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 46 : 57.

Regards

Team EP

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