if a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss?

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If a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss? (A)9 % gain (B) 8 % gain (C) C. 8% loss (D) 9 % loss

If a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss? (A)9 % gain (B) 8 % gain (C) C. 8% loss (D)

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If a retailer marks up his pri...

If a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss?

(A)9 % gain (B) 8 % gain (C) C. 8% loss (D) 9 % loss

Updated On: 27-06-2022

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If a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss?

Answer (1 of 15): Ans. Loss of 9% Let price of article be 100 , then Marked Price would be, 100 + 30 = 130 After discount of 30 % Selling Price of article would be, 130 - 130*30% = 130 - (130*30)/100= 130 -39 = 91 Hence loss of 100–91= 9 Which is (9*100)/100 = 9%

If a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss?

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Sort Joseph Chennattu

Studied at Gundecha Education Academy3y

Lets assume that the Cost Price(CP) for the article is =100

∴Marked Price(MP) = CP+30% of CP= 100+((30/100)*100)=130

Since Discount(D) is applied on the MP,

Selling Price(SP) = MP-(D% * MP)

∴SP = 130 - ((30/100)*130)= 130 - 39= 91

Since SP is lower than CP,

Loss(L) = CP-SP = 100 -91=9

∴L% = (L/CP)*100= (9/100)*100=9%

Answer Loss% is 9%

PS- If you have any doubt regarding to the above solving please feel free to ask in the comment section

PSS- If you feel that x% increase then x% decrease cancel each other out, this question proves that they don’t. So don’t make a mistake! :)

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CMA K S Narayanan

Cost Accountant having 24 years Telecom ExperienceAuthor has 6K answers and 9.9M answer views3y

Sweet relation to tackle such questions :

Effective percentage = A + B + AB/100

= 30 +(-30) + (30 x -30)/100

= -9. = 9% Loss :-)

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Muthu S 3y

Say the base price is 100.

100 + 30% = 130 130 - 30% = 91

So the retailer has made a loss of 9% from the base price ( 1-91/100)

Graham Shepherd

Former Employed as a Manager in Hotel and Catering Author has 400 answers and 89.7K answer viewsUpdated 1y

There is a difference because of what the calculations are 30% of which at first glance seems counterintuitive.

However.

When you add 30% on it’s on top of the original price (OP).

When you come to deduct the 30% it off the OP + 30% which, in this case is a figure that is higher by 9%.

So the loss element is 9%.

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Dave Cox

Former Teacher at Tasmania, Australia (1974–2019)Author has 473 answers and 110.4K answer views1y

Mark up 30% means now 130% of cost price

30% less than marked price

Means 70% of the marked price of 130%

0.7× 130=91% % loss is 9% Noel Carter

Former Armed Forces Service at Royal Australian Air Force (1955–1967)Author has 359 answers and 44.2K answer views1y

The retailer would have a 9% loss:

Say we start with a price of $100

add 30%, to make it $130

then discount that by 30% ($39), for a final price of $91.

So the retailer loses 9%.

Catalino Lansangan

Lives in Pasig City, Philippines (2017–present)Author has 1.8K answers and 650.8K answer views2y

SP=1.30CP-0.30(1.30)CP=1.30CP-0.39CP=0.91CP

Use Formula: %Profit=(SP-CP)/CP x 100%

Percentage Profit= [(0.91CP-CP)]/CP=-0.09CP/CPx100%=-0.09x100%=-9% loss

Neil Gordon

Author has 3.7K answers and 2.3M answer views2y

$200 is the Cost Price is $200

$260 is the new price after Retailer marks up his price by 30%

$182 is the price after a 30% discount was applied.

£18 loss or 9% of $200 Cost Price

Stephen Kazoullis

Retired secondary school teacher Author has 6.2K answers and 6.3M answer views1y

If the markup is 30%, then it sells for 1.3 of its cost. A discount of 30% means it will sell for 70% of that, which gives 0.91 of the cost. This means a loss of 9%.

Varadarajan Parthasarathy

Early to bed and early to rise is a good habit.Author has 4.4K answers and 1.7M answer views1y

Let c.p be x

M.p=x(130/100=13x/10

D%=30

S.p=(13x/10)(70/100)=91x/100

L=x-(91x/100)=9x/100

स्रोत : www.quora.com

[Solved] A retailer marks up his goods by 30% and offers 15% discount

Marked price of the goods = (100 + 30) /100 × 1000 = 1300 Selling price of goods after discount of 15% = (100 – 15) /100 × 1300 = Rs. 1105

Home Quantitative Aptitude Profit and Loss Discount and MP

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A retailer marks up his goods by 30% and offers 15% discount. What will be the selling price (in Rs.) of an item sold by the retailer if its cost to the retailer is Rs. 1,000?

1050 1105 805 1225

Answer (Detailed Solution Below)

Option 2 : 1105

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Marked price of the goods = (100 + 30) /100 × 1000 = 1300

Selling price of goods after discount of 15% = (100 – 15) /100 × 1300 = Rs. 1105

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