# 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%.

Related questions

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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

## [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

## Question

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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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## Detailed Solution

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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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## More Discount and MP Questions

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**Q4.**The marked price of an article is Rs. x. A shopkeeper sells it by giving two successive discounts of 15% and 10%. If payment is made by a credit card, a further 5% discount is also allowed. A customer buys it using credit card for Rs. 697.68. What is the value of x?

**Q5.**Reena bought a mobile phone at a discount of 20%. Had the discount received was 25%, she would have saved ₹2,000 more. How much did she pay (in ₹) for the mobile phone?

**Q6.**Raj bought a shirt and saved Rs. 20 when a discount of 25% was given. What was the price of the shirt before the discount?

**Q7.**'Buy three, get two free'. What is the percentage of discount being offered here?.

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**Q9.**A shopkeeper marks his goods to gain 30%. But he allows 10% discount for down cash payment. His profit percent is

**Q10.**Mohan buys an article for discount of 20% on the market price. He makes a profit of 15% by selling it at Rs. 1,104. What is the market price of the article?

## More Profit and Loss Questions

**Q1.**A man buys 2 dozen bananas at Rs.16 per dozen. After selling 18 bananas at the rate of Rs.12 per dozen, the shopkeeper reduced the rate to Rs.4 per dozen. Find the loss percentage.

**Q2.**A started a business with an initial investment of Rs.21,000. Some month later B joins the business with Rs 36,000. At the end of the year they shared the profits equally. After how many months B entered into partnership with A?

**Q3.**A trader sells two watches at Rs. 2000 each. If he gains 25% on one watch and loses 20% on the other, then So how much profit or loss does he make?

**Q4.**If a fruit seller sells 100 bananas and makes a profit equal to the selling price of 20 bananas, what is his profit?

**Q5.**Arjun and Bhaskar started a business by investing Rs 40,000 and Rs 60,000 respectively. Arjun's share of profit at the end of the year was Rs.10,000. What was the total profit?

**Q6.**Raj Kumar sold 2 calculators at Rs 990 each. On one calculator he made a profit of 10% and on another calculator, he made a loss of 10%. What is his profit or loss in the transaction?

**Q7.**Ajay and Babu entered into a partnership investing Rs. 16000 and Rs. 12000, respectively. After 3 months, Ajay withdrew Rs. 5000 and Babu invested Rs. 5000 more. What will be the respective profit-sharing ratio of Ajay and Babu?

**Q8.**Marked price of watch is 150 percent of marked price of bag and cost price of watch is equal to marked price of bag and watch is sold at 25% profit and bag is sold for 25% loss and the discount given on watch and bag are Rs.120 and Rs.180 respectively, then what is the cost price of bag?

**Q9.**The price of 1 kg of tomatoes in the shop is Rs 14. Shila wants 3.5 kg of tomatoes. How much will it cost her?

**Q10.**Rajiv bought a watch from an online store and sold it to Sanjeev at a profit of 5%. Sanjeev sold it back to Manish at a profit of 4%. Manish provided Rs.5460. Find the original price Rajiv bought the watch from an online store.

Guys, does anyone know the answer?