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Profit and Loss

Description: TNSF QUANT
Number of Questions: 15
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Tags: parsarbharti ssc quant Profit & Loss Profit and Loss
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A tradesman marks his goods 50% above cost price. If he allows a discount of 20%, then find his gain percent.

  1. 50%

  2. 20%

  3. 30%

  4. 70%

  5. 60%


Correct Option: B
Explanation:

Let CP be Rs. 100.  Then, marked price = Rs. 150  Discount = 20% Therefore, SP = 80% of Rs. 150 = (80/100) X 150 = 120  Gain = 120 – 100 = 20 Gain% = (20 * 100)/100 = 20%

A fan is listed at Rs. 1050 with a discount of 20%. What additional discount must be offered to a customer to bring the net price to Rs. 800?

  1. 10%

  2. 4.76%

  3. 11%

  4. 8%

  5. 10.33%


Correct Option: B
Explanation:

SP after 20% discount = 80% of Rs. 1050 = Rs. 840 Net SP desired = Rs. 800 Additional discount = 840 – 800 = Rs. 40 Discount % = (40/840) * 100 = 4.76%

A man bought a TV with 10% discount on the labelled price. Had he bought it with 20% discount, he would have saved Rs. 500. At what price did he buy the TV?

  1. Rs. 5625

  2. Rs. 9000

  3. Rs. 6750

  4. Rs. 4500

  5. Rs. 3240


Correct Option: D
Explanation:

Let the labelled price of the TV be Rs. y. Discount  in 1st case = 0.1y Discount  in 2nd case = 0.2y Now, in both cases, the difference is only 10%, i.e. Rs. 500. i.e. 10% of y = Rs. 500 i.e. (10/100) X y = 500  And y = Rs. 5000 Therefore, that man bought the TV at discount of 10% on marked price. i.e. (10/100) x 5000 = Rs. 500 Buying price = Rs. 5000 - Rs. 500 = Rs. 4500  

The marked price of an article is 20% higher than the cost price. A discount of 20% is given on the marked price. In this kind of sale, the seller

  1. bears no loss, no gain

  2. gains 4%

  3. loses 4%

  4. loses 2%

  5. Cannot be determined


Correct Option: C
Explanation:

Let CP be Rs. 100. Then, marked price = Rs. 120 SP = 80% of Rs. 120 = Rs. 96 So, loss = 4%

On an article with a marked price of Rs. 10000, a customer has a choice between three successive discounts of 10%, 20% and 10% and three successive discounts of 20%, 15% and 5%. By choosing the better offer, how much can he save?

  1. Re. 0

  2. Rs. 40

  3. Rs. 80

  4. Rs. 20

  5. Rs. 30


Correct Option: D
Explanation:

SP in first case = (90% of 80% of 90% of Rs. 10000) = Rs. 6480 SP in second case = (80% of 85% of 95% of Rs. 10000) = Rs. 6460 So, second choice is better. Therefore, amount saved = Rs. (6480 - 6460) = Rs. 20

Find the difference between a discount of 20% on Rs. 1200 and two successive discounts of 15% and 5% on the same amount.

  1. Rs. 0

  2. Rs. 240

  3. Rs. 180

  4. Rs. 69

  5. Rs. 60


Correct Option: D
Explanation:

SP after 20% discount = 80% of Rs. 1200 = Rs. 960 SP after two successive discounts of 15% and 5% = 85% of (95% of 1200) = [(85/100) X (95/100) X 1200] = Rs. 969 Therefore, required difference = Rs. 69

While selling a TV, a shopkeeper gives a discount of 10%. If he gives a discount of 12%, he earns Rs. 200 less as profit. Find the marked price of the TV.

  1. Rs. 8000

  2. Rs. 9000

  3. Rs. 11000

  4. Rs. 10000

  5. Rs. 12000


Correct Option: D
Explanation:

Let the marked price of the TV be Rs. x. Now, according to question, 90% of x - 88% of x = 200 2% of x = 200 x = (200 x 100)/2 = 10000 So, the marked price of the TV is Rs. 10000.

A discount series of 10%, 25% and 30% is equivalent to a single discount of

  1. 47.25%

  2. 52.75%

  3. 65%

  4. 70.28%

  5. 40%


Correct Option: B
Explanation:

Let the original price be Rs. 100.  Final price = (90% of 75% of 70% of 100) = [(90/100) X (75/100) X (70/100) X 100] = 47.25 Therefore, single discount = (100 - 47.25)% = 52.75%

If a commission of 10% is given on the marked price of a book, the publisher gains 50%. If the commission is increased to 20%, then find his gain%.

  1. 20%

  2. 33.33%

  3. 33%

  4. 30%

  5. 20.33%


Correct Option: B
Explanation:

Let CP be Rs. 100. First SP = Rs. 150 Now, SP = Rs. 150 Commission = 10% Therefore, MP = [(100/90) X 150] = Rs. 500/3 Now, marked price = 500/3 Commission = 20% Therefore, SP = 80% of 500/3 = [(80/100) X (500/3)] = 400/3 Therefore, gain% = [(400/3) - 100] = 100/3% = 33.33%

If selling price is thriced, the profit will be four times. Find the profit percent.

  1. 100%

  2. 150%

  3. 200%

  4. 300%

  5. 250%


Correct Option: C
Explanation:

Let CP be Rs. x and SP be Rs. y.  As it is known that profit = SP - CP, So, 4(y - x) = (3y - x) y = 3x Profit = Rs. (y - x) = Rs. (3x - x) = Rs. 2x   So, profit % = (2x/x) * 100 = 200%

The percentage profit earned by selling an article for Rs. 3220 is equal to the percentage loss incurred by selling the same article for Rs. 2280. At what price should the article be sold to earn 20% profit?

  1. Rs. 3300

  2. Rs. 2400

  3. Rs. 2500

  4. Rs. 2000

  5. Rs. 3000


Correct Option: A
Explanation:

Let CP be Rs. x Then, [(3220 - x)/x] * 100 = [(x - 2280)/x] * 100 On solving the equation, we get x = 2750 Selling price = 2750 * 120/100 = Rs. 3300

Abhi purchased 12 dozens of toys at the rate of Rs. 960 per dozen. He sold each one of them at the rate of Rs. 100. What was his percentage profit?

  1. 40%

  2. 30%

  3. 20%

  4. 25%

  5. 35%


Correct Option: D
Explanation:

Cost price of 1 toy = 960/12 = Rs. 80   Selling price of 1 toy = Rs. 100 Profit = Rs. (100 - 80) = Rs. 20 Profit% = (20/80) * 100 = 25%

Half a commodity is sold at 20% profit, ¼ is sold at 10% profit and the rest at 25% profit. If a total profit of Rs. 100 is earned, then find the value of the commodity.

  1. Rs. 550

  2. Rs. 450

  3. Rs. 533

  4. Rs. 535

  5. Rs. 553


Correct Option: C
Explanation:

Part sold at 25% profit = 1 - (1/2 + 1/4) = 1/4 Value of commodity = (100 × 100)/(1/2 * 20 + ¼ * 10 + ¼ * 25) = Rs. 533

A man purchases a certain number of apples at Rs. 7 and the same number of apples at Rs. 6. He mixes them together and sells them at Rs. 8. What is his gain or loss per cent?

  1. Gain 6%

  2. Gain 5.13%

  3. Loss 5.13%

  4. Loss 6 %

  5. Gain 7%


Correct Option: B
Explanation:

To find his gain or loss, use this shortcut formula: Gain or loss = [(2 * CP1 * CP2)/SP(CP1 + CP2) - 1] = [2 * 7 * 6/8(7 + 6) - 1] × 100 % = 5.13% Sign is positive, so gain = 5.13%.

An agent buys a TV listed at Rs. 22000 and gets 10% and 20% successive discounts. He spends 10% of his CP on transport. At what price (in rupees) should he sell the TV to earn a profit of 20%?

  1. Rs. 15840

  2. Rs. 16632

  3. Rs. 20908.80

  4. Rs. 20900.80

  5. Rs. 20000.80


Correct Option: C
Explanation:

Net price after two discounts = 80% of 90% of Rs. 22000 = Rs. 15840 Net CP = (15840 + 10% of Rs. 15840) = Rs. 17424 Therefore, SP = 120% of Rs. 17424 = Rs. 20908.80

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