Successive Selling MCQ Quiz - Objective Question with Answer for Successive Selling - Download Free PDF
Last updated on Jun 3, 2025
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% ?
Answer (Detailed Solution Below)
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 ?
Answer (Detailed Solution Below)
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?
Answer (Detailed Solution Below)
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.)
Answer (Detailed Solution Below)
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 %?
Answer (Detailed Solution Below)
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)
Answer (Detailed Solution Below)
Successive Selling Question 6 Detailed Solution
Download Solution PDFCalculation:
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
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?
Answer (Detailed Solution Below)
Successive Selling Question 7 Detailed Solution
Download Solution PDFGiven :
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?
Answer (Detailed Solution Below)
Successive Selling Question 8 Detailed Solution
Download Solution PDFShortcut 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?
Answer (Detailed Solution Below)
Successive Selling Question 9 Detailed Solution
Download Solution PDFGiven:
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
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%?
Answer (Detailed Solution Below)
Successive Selling Question 10 Detailed Solution
Download Solution PDFGIVEN:
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. 2860A 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?
Answer (Detailed Solution Below)
Successive Selling Question 11 Detailed Solution
Download Solution PDFCalculation:
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
Answer (Detailed Solution Below)
Successive Selling Question 12 Detailed Solution
Download Solution PDFGiven,
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. 480P 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?
Answer (Detailed Solution Below)
Successive Selling Question 13 Detailed Solution
Download Solution PDFGiven:
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?
Answer (Detailed Solution Below)
Successive Selling Question 14 Detailed Solution
Download Solution PDFLet 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)?
Answer (Detailed Solution Below)
Successive Selling Question 15 Detailed Solution
Download Solution PDFGiven:
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%