Successive Selling MCQ Quiz - Objective Question with Answer for Successive Selling - Download Free PDF

Last updated on Jun 3, 2025

Profit and Loss is always followed by Successive Selling Questions. The recruitment processes which have profit and loss as their crucial factor of testing the candidates’ aptitude, also have successive selling questions adjacent to it. Testbook stages a few intermediate yet efficient questions accompanied by their solutions and explanations to boost up your level of preparation. All these Successive Selling Questions come with some easy tips and tricks. Read this article and solve these Successive Selling objectives to test your aptitude.

Latest Successive Selling MCQ Objective Questions

Successive Selling Question 1:

Sekhar lost 6% by selling his motorcycle for Rs. 66,411. At what price should he sold to get a profit of 6% ? 

  1. Rs. 68,427
  2. Rs. 74,200
  3. Rs. 74,889
  4. Rs. 73,427

Answer (Detailed Solution Below)

Option 3 : Rs. 74,889

Successive Selling Question 1 Detailed Solution

Given:

Selling Price (SP) = ₹66,411

Loss Percentage = 6%

Desired Profit Percentage = 6%

Formula Used:

Cost Price (CP) = SP × 100 / (100 - Loss Percentage)

Selling Price for Profit = CP × (100 + Profit Percentage) / 100

Calculation:

CP = 66411 × 100 / (100 - 6)

CP = 66411 × 100 / 94

CP = 6641100 / 94

CP = ₹70,650

Selling Price for Profit = 70650 × (100 + 6) / 100

Selling Price for Profit = 70650 × 106 / 100

Selling Price for Profit = 70650 × 1.06

Selling Price for Profit = ₹74,889

∴ Sekhar should sell his motorcycle for ₹74,889 to get a profit of 6%.

Successive Selling Question 2:

Nivin buys a watch for Rs. 500 and sells it to Shinoy at 10% profit, Shinoy then sells it to Jenu at 20% loss and Jenu sells it to Jeevan 10% loss. How much did Jeevan pay for the watch ?

  1. Rs. 484 
  2. Rs. 396 
  3. Rs. 384 
  4. Rs. 480  

Answer (Detailed Solution Below)

Option 2 : Rs. 396 

Successive Selling Question 2 Detailed Solution

Given:

Cost Price for Nivin (CPNivin) = ₹500

Profit percentage for Nivin = 10%

Loss percentage for Shinoy = 20%

Loss percentage for Jenu = 10%

Formula Used:

Selling Price (SP) = CP × (1 + Profit%/100)

Selling Price (SP) = CP × (1 - Loss%/100)

Calculation:

Selling Price for Nivin (SPNivin) = 500 × (1 + 10/100)

⇒ SPNivin = 500 × (1 + 0.1)

⇒ SPNivin = 500 × 1.1 = ₹550

Cost Price for Shinoy (CPShinoy) = SPNivin = ₹550

Selling Price for Shinoy (SPShinoy) = 550 × (1 - 20/100)

⇒ SPShinoy = 550 × (1 - 0.2) = 550 × 0.8 = ₹440

Cost Price for Jenu (CPJenu) = SPShinoy = ₹440

Selling Price for Jenu (SPJenu) = 440 × (1 - 10/100)

⇒ SPJenu = 440 × (1 - 0.1) = 440 × 0.9 = ₹396

Cost Price for Jeevan = SPJenu = ₹396

∴ Jeevan paid ₹396 for the watch.

Successive Selling Question 3:

When item sold at Rs. 1400 then there is profit percent is 40%. Find the profit amount when item sold at Rs. 1345?

  1. 365
  2. 356
  3. 345
  4. 354
  5. 352

Answer (Detailed Solution Below)

Option 3 : 345

Successive Selling Question 3 Detailed Solution

Given:

When the item is sold at Rs. 1400, profit percent is 40%.

Let the cost price be C.

Formula used:

Profit = Selling Price - Cost Price

Profit percent = (Profit / Cost Price) × 100

Calculations:

Profit percent = 40%, so:

(1400 - C) / C = 40 / 100

⇒ (1400 - C) = 0.4C

⇒ 1400 = 1.4C

⇒ C = 1400 / 1.4 = Rs. 1000

Now, when the item is sold at Rs. 1345, profit = 1345 - 1000 = Rs. 345

∴ The profit amount when the item is sold at Rs. 1345 is Rs. 345.

Successive Selling Question 4:

A shopkeeper bought 350 kg of rice at the rate of Rs. 130 per kg. He sold 90% of the total quantity at the rate of Rs. 190 per kg. At what price per kg should he sell the remaining quantity to make 90% overall profit? (in Rs.)

  1. 790
  2. 770
  3. 780
  4. 760

Answer (Detailed Solution Below)

Option 4 : 760

Successive Selling Question 4 Detailed Solution

Given:

Total quantity of rice = 350 kg

Cost price per kg = ₹130

Quantity sold = 90% of 350 kg = 315 kg

Selling price for 315 kg = ₹190 per kg

Formula used:

Total Selling Price = Total Cost Price × (1 + Profit Percentage / 100)

Remaining Selling Price = Total Selling Price - Selling Price of 90% Quantity

Calculations:

Total Cost Price = ₹130 × 350 = ₹45,500

Total Selling Price = ₹45,500 × (1 + 90 / 100)

⇒ Total Selling Price = ₹86,450

Selling Price of 90% Quantity = ₹190 × 315 = ₹59,850

Remaining Selling Price = ₹86,450 - ₹59,850 = ₹26,600

Remaining Quantity = 350 - 315 = 35 kg

Selling Price per kg for remaining quantity = ₹26,600 ÷ 35

⇒ Selling Price per kg = ₹760

∴ The correct answer is option (4).

Successive Selling Question 5:

If the cost price of 2150 articles is equal to the selling price of 1720 articles, then what is the gain %?

  1. 30
  2. 20
  3. 25
  4. 15

Answer (Detailed Solution Below)

Option 3 : 25

Successive Selling Question 5 Detailed Solution

Given:

Cost Price (CP) of 2150 articles = Selling Price (SP) of 1720 articles

Formula used:

Gain% = \(\frac{\text{Gain}}{\text{Cost Price}} \times 100\)

Gain = SP - CP

Calculation:

Let the CP of 1 article be ₹1.

⇒ Total CP of 2150 articles = 2150 × 1 = ₹2150

Since CP of 2150 articles = SP of 1720 articles,

⇒ SP of 1 article = \(\frac{2150}{1720}\) = 1.25

Gain per article = SP - CP = 1.25 - 1 = 0.25

Gain% = \(\frac{0.25}{1} \times 100\)

⇒ Gain% = 25%

∴ The correct answer is option (3).

Top Successive Selling MCQ Objective Questions

On selling an item for 440 rupees, loss is 60% of the profit received on selling the same item in 1000 rupees. Know the purchase price of that item? (In rupees)

  1. 650
  2. 680
  3. 660
  4. 670

Answer (Detailed Solution Below)

Option 1 : 650

Successive Selling Question 6 Detailed Solution

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Calculation:

Let cost price of the item be Rs. x

According to the question

(x – 440) = (1000 – x) × 60/100

⇒ (x – 440) = (1000 – x) × 3/5

⇒ 5x – 2200 = 3000 – 3x

⇒ 5x + 3x = 3000 + 2200

⇒ 8x = 5200

⇒ x = 5200/8

⇒ x = 650

∴ The correct answer is option (1).

Shortcut Trick

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A TV set is being sold for Rs. X in Delhi. A dealer went to Chandigarh and bought the TV at 20% discount (from the price of Delhi). He spends Rs. 600 on transport. Thus, he sold the set in Delhi for Rs. X making (100/7) % profit what is the value of X?

  1. Rs. 7200
  2. Rs. 8000
  3. Rs. 8800
  4. Rs. 9600

Answer (Detailed Solution Below)

Option 2 : Rs. 8000

Successive Selling Question 7 Detailed Solution

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Given :

A TV  set selling price in Delhi = Rs. X 

The discount is given on TV set in Chandigarh = 20%

Profit % = 100/7% = \(14\frac{2}{7}\)%

Transportation cost = Rs. 600

Formula Used:

Selling price = Cost Price × (100 + P%)/100

Calculation:

CP = 80% of X = 0.8X

According to the question

⇒ X = \(\frac{0.8X + 600 (100 + \frac{100}{7})}{100}\)

⇒ X =  \(\frac{0.8X + 600 (\frac{800}{7})}{100}\)

⇒ 100X =  \(\frac{(0.8X + 600)(800)}{7}\)

⇒ 700X = (0.8X + 600)(800)

⇒ 700X = 640X + 480000

⇒ 60X = 480000

⇒ X = 8000

∴ The value of X is Rs.8000

 

⇒ Selling Price of TV in Chandigarh = X – 20% of X = Rs. 0.8X

⇒ Total cost price of TV in Delhi = 0.8X + 600

⇒ Selling Price = Rs. X

⇒ Profit% = {(X – 0.8X – 600)/(0.8X + 600)} × 100

⇒ 100/7 = {(0.2X – 600) / (0.8x + 600)} × 100

⇒ 0.8X + 600 = 1.4X – 4200

⇒ X = 8000

Some fruits are bought at 15 for Rs. 140 and an equal number of fruits at 10 for Rs. 120. If all the fruits are sold at Rs. 132 per dozen, then what is the profit percent in the entire transaction?

  1. \(4 \frac{1}{2}\)
  2. \(2 \frac{1}{4}\)
  3. \(3 \frac{1}{8}\)
  4. 3

Answer (Detailed Solution Below)

Option 3 : \(3 \frac{1}{8}\)

Successive Selling Question 8 Detailed Solution

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Shortcut Trick

Fruits bought at 15 for Rs. 140

Equal quantity of bought at 10 for Rs. 120

Fruits sold at Rs. 132/dozen

Let, the total quantity of fruits = 30

               15 for Rs. 140            10 for Rs. 120          Total

CP              Rs. 140                        Rs. 180             Rs. 320

SP              Rs. 165                        Rs. 165             Rs. 330

Profit percent = (330 - 320)/320 × 100  = \(3 \frac{1}{8}\)%

∴ The required profit percent is  \(3 \frac{1}{8}\)%.

Alternate Method

Given:

Fruits at 15 for Rs. 140 = Fruits at 10 for Rs. 120

Fruits sold at Rs. 132/dozen

Formula used:

Profit > Loss 

Profit = SP - CP 

Profit percent = Profit/CP × 100 

Calculation:

Let, Total fruit brought

⇒ LCM (10 and 15) = 30

So, CP of 30 fruits at the rate of 15 for Rs. 140

⇒ 140/15 × 30 = Rs. 280

Similarly, CP of 30 fruits at 10 for Rs. 120,

⇒ 120/10 × 30 = Rs. 360

So, Total CP of 60 fruits = 280 + 360 = Rs. 640

Now,

⇒ SP of 12 fruits = Rs. 132

⇒ SP of 1 fruit = Rs. 11

⇒ SP of 60 fruits = Rs. 11 × 60 = Rs. 660

So, Profit = SP - CP = Rs.660 - Rs. 640 

⇒ Rs. 20 

Profit percent = 20/640 × 100 = \(3 \frac{1}{8}\)

∴ The required profit percent is  \(3 \frac{1}{8}\)%.

A trader bought a consignment of potatoes and onions for Rs. 25,000. He sold the potatoes at a gain of 30% and the onions at a loss of 10%. If he gained 20% overall, how much did he pay for the potatoes? 

  1. Rs. 10,000
  2. Rs. 18,750
  3. Rs. 20,000
  4. Rs. 15,000

Answer (Detailed Solution Below)

Option 2 : Rs. 18,750

Successive Selling Question 9 Detailed Solution

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Given:

Total cost of potatoes and onions: Rs. 25,000

Gain on potatoes: 30%,  Loss on onions: 10%, and Overall gain: 20%

Calculation:

Let P be the buying price of potatoes and O be the buying price of onions. 

⇒ P + O = Rs. 25,000 →(1)

According to the question,

The overall gain of 20% on total cost,

⇒ SP = 25000 × \(\dfrac{120}{100}\) = Rs. 30000

The gain on selling potatoes is 30%, SP of potatoes= 1.3P

The loss on selling onions is 10%, SP of onions = 0.9O

Now, the selling prices of potatoes and onions add up to the total selling price,

⇒ 1.3P + 0.9O = 30,000

⇒ 1.3P + 0.9(25,000 - P) = 30,000    [From Eqn (1)]

⇒ 1.3P + 22,500 - 0.9P = 30,000

⇒ 0.4P = 7,500

⇒ P = \(\dfrac{7500}{0.4}\) = Rs. 18750

∴ Option (2) is the correct answer.

Shortcut Trick qImage670d36dd82faba6428ba9e82

Amar sells his TV at a rate of Rs. 1540 and bears a loss of 30%. At what rate should he sell his TV so that he gains a profit of 30%?

  1. Rs. 2920
  2. Rs. 2480
  3. Rs. 2680
  4. Rs. 2860

Answer (Detailed Solution Below)

Option 4 : Rs. 2860

Successive Selling Question 10 Detailed Solution

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GIVEN:

SP = Rs. 1540 when loss = 30%

CONCEPT:
Basic profit and loss concept.

FORMULA USED:

SP = CP × (1 - Loss %/100)

SP = CP × (1 + Profit %/100)

CALCULATION:

Cost price of TV = 1540/(1 - 30/100)

= 1540/0.7 = Rs. 2200

Hence,

Selling price when profit is 30% = 2200 × (1 + 30/100) = Rs. 2860

A person sells wheat at a profit of 25 percent. If he reduces its selling price by Rs. 40, then he suffers a loss of 25 percent. What was the initial selling price of the wheat? 

  1. Rs. 80
  2. Rs. 120
  3. Rs. 60
  4. Rs. 100

Answer (Detailed Solution Below)

Option 4 : Rs. 100

Successive Selling Question 11 Detailed Solution

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Calculation:

Let the cost price be Rs. y

When he had a profit,

Selling price = cost price + profit % of cost price

⇒ y + 25% × y = 1.25y

When he had a loss,

Selling price = cost price – loss% of cost price

⇒ y – 25% × y = 0.75y

According to the question,

⇒ 1.25y – 0.75y = 40

⇒ 0.50y = 40

⇒ y = 80

∴ Initial selling price = 1.25y = 1.25 × 80 = Rs.100

Alternate MethodCalculation:

Taking profit percentage as positive and the loss percentage as negative.

⇒ 25% - (-25%) = 40

⇒ 50% = 40

⇒ 1 = 80

S.P = 1.25 = 1.25 × 80 = 100

∴ The selling price is Rs.100.

A book is sold for Rs. 575,the amount of profit is equal to the amount of loss if it is sold for Rs. 385, the cost price for this book is

  1. Rs. 496
  2. Rs. 400
  3. Rs. 480
  4. Rs. 475

Answer (Detailed Solution Below)

Option 3 : Rs. 480

Successive Selling Question 12 Detailed Solution

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Given,

Selling price of book = Rs. 575

Let cost price of book be Rs.a.

Concept Used:

Profit = S.P - C.P

Loss = C.P - S.P

Calculation:

⇒ Profit = 575 - a

Given,

Selling price of book = Rs. 385

⇒ Loss = a - 385

Then,

⇒ 575 - a = a - 385

⇒ 2a = 960

⇒ a = 480

∴ cost price of a book is Rs. 480

P sells an article to Q at a loss of 5% and Q sells that article to R at a loss of 20%. If R pays ₹ 2812 for the article, then what was the cost price for P?

  1. ₹3750
  2. ₹3700
  3. ₹3515
  4. ₹3250

Answer (Detailed Solution Below)

Option 2 : ₹3700

Successive Selling Question 13 Detailed Solution

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Given:

P sells an article to Q at a loss of 5%

Q sells that article to R at a loss of 20%

R pays ₹ 2812 for the article

Concept:

P sells the article to Q. Therefore Q's Cost Price will be P's Selling Price and Q sells the article to R. Therefore R's Cost Price will be Q's Selling Price

Calculation:

R pays ₹ 2812 for the article

∴ R's Cost Price = 2812

Q's Selling Price = R's Cost Price = 2812

⇒ Q's Cost Price = 2812 × (100/80) = 3515   (∵ 20% Loss)

P's Selling Price = Q's Cost Price = 3515

⇒ P's Cost Price = 3515 × (100/95) = 3700   (∵ 5% Loss)

∴  The cost price for P = ₹3700

Anurag loses one-seventh of the cost by selling a pen for Rs. 144. If the pen is sold for Rs. 189, what is the gain percent?

  1. 11%
  2. 12.5%
  3. 11.5%
  4. 14%

Answer (Detailed Solution Below)

Option 2 : 12.5%

Successive Selling Question 14 Detailed Solution

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Let the cost price be Rs. x

⇒ Loss = x/7

⇒ Selling price = x – (x/7)

⇒ 144 = 6x/7

⇒ x = 168

⇒ New selling price = Rs. 189

⇒ Gain % = {(189 – 168)/168} × 100 = 12.5%

A shopkeeper sold two articles for Rs. 10591 each. On one he gained 19% and on the other he lost 11%. What was his overall gain or loss percent (correct to one decimal place)?

  1. Profit 1.8%
  2. Loss 2.7%
  3. Loss 10%
  4. Profit 5%

Answer (Detailed Solution Below)

Option 1 : Profit 1.8%

Successive Selling Question 15 Detailed Solution

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Given:

Selling price of each articles = Rs. 10591

Gain = 19%

Loss = 11%

Calculation:

SP of each articles = Rs. 10591

CP of first article = Rs. (10591 × 100/119)

⇒Rs. 8900

CP of second article = Rs. (10591 × 100/89)

⇒ 11900

Total SP of both the article = 10591 × 2 = 21182

Total CP of both the article = 8900 + 11900 = 20800

Total Gain = 21182 – 20800 = 382

Gain percentage = (382/20800 × 100)

⇒ 1.83%

∴ His overall Profit percentage is 1.8%

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