At what above cost price must an article be marked so as to gain 14% after allowing a customer a discount of 5 %?

At what above cost price must an article be marked so as to gain 14% after allowing a customer a discount of 5 %?

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ML Aggarwal Solutions Class 8 Mathematics Solutions for Percentage Exercise 7.3 in Chapter 7 - Percentage

Question 5 Percentage Exercise 7.3

The list price of an article is ₹ 800 and a dealer is selling it at a discount of 20 %. Find:

(i) the selling price of the article.

(ii) the cost price of the article if he makes 25% profit on selling it.

Answer:

(i) It is given that

M.P. = ₹ 800

Discount = 20%

We know that

S.P. = [1 – d/100] of M.P.

Substituting the values

S.P. = [1 – 20/100] of ₹ 800

By further calculation

S.P. = 80/100 × 800

S.P. = ₹ 640

Therefore, the selling price is ₹ 640.

(ii) It is given that

S.P. = ₹ 640

Profit = 25%

We know that

S.P. = [1 + P/100] of C.P.

Substituting the values

640 = [1 + 25/100] of C.P.

By further calculation

640 = 125/100 of C.P.

So we get

C.P. = [640 × 100/125]

C.P. = 128 × 4

C.P. = ₹ 512

Video transcript

hello everybody welcome to lido learning channel my name is rajna chaudhary and we have to solve this question it is the list price of an article is 800 and the dealer is selling it at a discount of 20 percent find selling price of the article so first part is that we have to find selling price and list price is given so list price is marked price so marked price is given to us 800 rupees and discount is given 20 percent so we know that discount is always calculated on marked price so that mean uh 20 of marked price that is 800 so 20 that mean 20 upon 100 of 800 after solving it we would have 160 rupees so this is discount in rupees now we can also calculate a selling price so selling price we know is marked price minus discount so that mean 800 minus 160 and that would be 640 so selling price is rupees 640. now let's come to the second part here the cost price of the article we have to find the cost price of the article if he makes 25 profit on selling it so in this case we are given with profit as 25 percent and we have to calculate cp so we can let cp as x now let's calculate it so we know that profit is always found on cost price so it is 25 percent of cost price that mean x so 25 upon 100 multiplied by cp that is x after this further calculation we have profit in rupees as x upon 4 this is the profit in rupees so we know the formula to calculate a cost price so uh cost price is always we can calculate it or um price is equal to selling price minus profit now cost price would be equal to a cost price is x so we can substitute x here selling price we know 640 profit we just have calculated x upon 4 now we can transpose x upon 4 to the left hand side that would be adding here let's solve it so we have 4x plus x upon 4 is equal to 640. after further calculation 5x upon 4 is equal to 640 then x would be equal to 640 multiplied by 4 upon 5. we can solve it further and we would get 512 that is the value of x and x was cos price so we have cost price as rupees 512 i hope you understand how we calculated and the method also so see you in my next video don't forget to like share and subscribe the channel thank you for watching

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  • At what percentage above the cost price must an article be marked so as to gain $33\%$ after allowing the customer a discount of $5\%$ ?
  • At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5% ?
  • What price should a shopkeeper mark on an article that costs him Rs 600 to gain 20%, after allowing a discount of 10% ?
  • What price should Alka mark. on a dress which cost her Rs. 4000 so as to gain  20% after allowing a discount of 20%?
  • [Solved] At, what percentage above the cost price must an article be
  • At, what percentage above the cost price must an article be marked so as to gain 8% after allowing a customer a discount of 10%?
  • Answer (Detailed Solution Below)
  • Detailed Solution
  • More Discount and MP Questions
  • More Profit and Loss Questions
  • An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price?
  • What percentage above the CP must an article be marked to gain 35% after giving a discount of 10 %?
  • At what percentage above the CP must an article be marked to gain 20% after giving a discount of 20 %?
  • At what above the cost price must an article be marked so as to gain 12% after showing a discount of 20 %?
  • What is the profit percentage if the purchase price of an items is 80% of its selling price?

At what percentage above the cost price must an article be marked so as to gain $33\%$ after allowing the customer a discount of $5\%$ ?

Answer

Verified

Hint: To solve this question we need to know the concept of marked price, cost price and discount. The first step is to make some assumptions and then solve the problem as per the condition given. Formula used to solve the question is $\text{SP = CP + Profit }\!\!\%\!\!\text{ }\!\!\times\!\!\text{ CP}$ and $\text{Marked Price = S}\text{.P - Discount}$ , here $\text{CP}$ and $\text{SP}$are cost price and selling price respectively.

Complete step by step solution:
To find the percentage above the cost price so that a customer gets a discount of $5\%$ and the shopkeeper has a profit of $33\%$ in an article he sells. To start with some assumptions that need to be taken. Let us consider the cost price of an article to be of rupees $100$ and the marked price of the object be rupees $x$. Writing it mathematically we get:
$\text{Cost Price}=100$
$\text{Marked Price}=x$
Since the cost price is $100$ and gain percent is $33\%$so the selling price become:
$\Rightarrow \text{C}\text{.P + 33 }\!\!\%\!\!\text{ }\!\!\times\!\!\text{ C}\text{.P}$
$\Rightarrow 100+33\%\times 100$
$\Rightarrow 100+\dfrac{33}{100}\times 100$
$\Rightarrow 100+33$
$\Rightarrow 133$
So the selling price of the article is rupees $133$.
The second part of the question is that the customer has a discount of $5\%$. On applying this condition we get:
$\Rightarrow x-5\%\times x=133$
$\Rightarrow x-\dfrac{5}{100}\times x=133$
$\Rightarrow \dfrac{95}{100}\times x=133$
$\Rightarrow x=\dfrac{133\times 100}{95}$
$\Rightarrow x=140$
Percentage above the cost price should the article be marked is:
$\Rightarrow \dfrac{\text{Marked price - Cost Price}}{\text{Cost Price}}\times 100$
$\Rightarrow \dfrac{140-100}{100}\times 100$
$\Rightarrow \dfrac{40}{100}\times 100$
$\Rightarrow 40\%$

$\therefore $ At $40\%$ percentage above the cost price must an article be marked so as to gain $33\%$ after allowing the customer a discount of $5\%$.

Note: Marked price is always expressed as the percentage of the cost price. Discount on a material is always applied on the marked price and not on the selling price or cost price. The difference between the marked price and the discount is selling price$\text{Marked price - Discount = Selling Price}$.

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[Solved] At, what percentage above the cost price must an article be

Given: Gain = 8% Discount allowed = 10% Formula Used: MP = SP/(100 - discount%) × 100 Calculation: Let the cost price of article be 100x

Home Quantitative Aptitude Profit and Loss Discount and MP

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At, what percentage above the cost price must an article be marked so as to gain 8% after allowing a customer a discount of 10%?

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Option 2 : 20%

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Detailed Solution

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Given:

Gain = 8%

Discount allowed = 10%

Formula Used:

MP = SP/(100 - discount%) × 100

Calculation:

Let the cost price of article be 100x

According to the question,

Profit of 8% is earned

⇒ SP = 100x + (8/100) × 100x = 108x

Discount of 10% is allowed

MP = (108x/90) × 100 = 120x

⇒ (120x - 100x)/100x × 100 = 20%

∴ MP is marked 20% above the CP

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More Discount and MP Questions

Q1. A purchased an item for Rs. 12,300. He spent Rs. 200 as cartage. He sold it to B at 10% profit, who sold it to C at 6% profit. C marked it at Rs. 2,915 higher than his cost price and allowed 10% discount to a customer. Find the profit earned by C (in Rs.).Q2. The ratio between the marked price and the cost price of an article is 5 : 3. If the selling price of the article is ₹3,024 and the shopkeeper gave two successive discounts of 16% and 20%, then how much is the profit or loss (in ₹)?Q3. Ram gave a discount of 10% on the marked price of an item and still gained 12.5%. How much would have Ram gained, if he sold the item at the marked price?Q4. A dealer sells an article at Rs. 403.20, after offering a discount of 16% on its marked price. Had he not offered any discount, he would have earned a profit of 28% on the cost price of the article. What is the cost price (in Rs.) of the article?Q5. The value of a single discount on some amount which is equivalent to a series of discounts of 10%, 20% and 40% on the same amount, is equal toQ6. The marked price of an article is 20% higher than the cost price. A discount of 15% is given on the marked price. In this kind of sale, the seller bears:Q7. A shopkeeper marks the price of an article at ₹200. After allowing a discount of 10%, he still gains 20% on the cost price. What is the cost price of the article?Q8. A dealer marks an article 50% above the cost price and sells it to a customer allowing two successive discounts of 20% and 15% on the marked price. if he gains Rs. 400 on the deal then the cost price of the article is?Q9. Ronita marked an article z% above its CP, and then after giving a discount of 10%, sold it at Rs. 630. If the respective ratio of cost price and selling price of that article is 7 ∶ 9, then find the value of z.Q10. Sobhit has purchased an article from Ronita at a discount of 10%. Still, Ronita earned a profit of Rs. 610 because the article was marked up by 350% above its cost price. Find the value of the discount offered by Ronita.

More Profit and Loss Questions

Q1. By selling 24 pens, a vendor lost the selling price of 6 pens. Find the loss percentQ2. Which of the following statements are correct? A. If the cost price of an item is Rs. 56 and the gain percentage is 20%, the selling price of the item is Rs.76.2. B. If the cost price of an item is Rs. 80 and the loss percentage is 15%, the selling price of the item is Rs. 68. C. If an item purchased in Rs. 5 is sold for Rs. 6 , the profit is 25% Choose the correct answer from the options given belowQ3. Cost price of two mobilephones is same. One is sold at a profit of 30% and the other for 6300 more than the first. If the net profit is 40%. Find the cost price of each mobile.Q4. A purchased an item for Rs. 12,300. He spent Rs. 200 as cartage. He sold it to B at 10% profit, who sold it to C at 6% profit. C marked it at Rs. 2,915 higher than his cost price and allowed 10% discount to a customer. Find the profit earned by C (in Rs.).Q5. The ratio between the marked price and the cost price of an article is 5 : 3. If the selling price of the article is ₹3,024 and the shopkeeper gave two successive discounts of 16% and 20%, then how much is the profit or loss (in ₹)?Q6. Ram gave a discount of 10% on the marked price of an item and still gained 12.5%. How much would have Ram gained, if he sold the item at the marked price?Q7. A dealer sells an article at Rs. 403.20, after offering a discount of 16% on its marked price. Had he not offered any discount, he would have earned a profit of 28% on the cost price of the article. What is the cost price (in Rs.) of the article?

स्रोत : testbook.com

An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price?

Answer (1 of 4): * Statement of the given problem, * * An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price? * Let C & M denote cost price & marked price. * Hence fr...

An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price?

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Sort Subramanya R

Former Retired Govt Employee, Interested in All FieldsAuthor has 1K answers and 681.7K answer views10mo

An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price?

Selling Price : SP, Profit : P, Discount : D, Marked Price or List Price : MP

Selling Price : SP, Profit : P, Discount : D, Marked Price or List Price : MP

Cost price : CP Cost price : CP S P 1 =CP+CP12%=1.12CP SP1=CP+CP12%=1.12CP Also given that S P 1 =MP−MP12.5%=0.875MP

Also given that SP1=MP−MP12.5%=0.875MP

⇒1.12CP=0.875MP ⇒1.12CP=0.875MP CP= 0.875 1.12 MP CP=0.8751.12MP [mat...

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A jacket marked 299 is sold at a discount of 12.5%. What is the selling price?

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Statement of the given problem,

An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. What would be the gain or loss percentage if a discount of 25% is given on the list price?

Let C & M denote cost price & marked price.

Hence from above data we get following relations,

(1 - 12.5/100)*M = (1 + 12/100)*C

or (7/8)*M = (28/25)*C

or M = (8/7)*(28/25)*C

or M = (32/25)*C

For a discount of 25% given on the list price, we get

(1 - 25/100)*M = (3/4)*(32/25)*C = (24/25)*C = (1 - 4/100)*C

Therefore it is evident from above that

if a discount of 25% is given on the list price, then

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Let the marked price=100. Units

Discount= 12•5%

Selling price= 100–12•5=87•5 units

Profit=12%

Cost price=selling price÷{1+(profit%÷100)}=87•5÷1•12=78•125 units

If discount 25% then selling price={100–25}=75 units

Loss={78•125–75}=3•125 units

Loss%=( 3•125 ÷78•125)×100=4%

Ranjan Karnad

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Let the marked price be 100x

Discount 12.5% , sale price = 87.5x

Profit made =12%

So cost = 100/112 X 87.5x = 78.125x

If discount is 25% , sale price = 75x

Loss = 78.125 - 75 = 3.125x

Loss % = 3.125/78.125 X 100 = 312.50/ 78.125 = 4% Loss ANSWER

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If an article is sold at 25% discount and the profit percentage is 10% and if 10% discount is given, then the profit is 240. What is the marked price of the article?

ans is 1100

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If a merchant offers a discount of 25% on the list price, then he makes a loss of 5%, what percentage of profit or loss will he make if he sells it at a discount of 10% of the list price?

Let CP = 100%

Loss of 5% => SP = 95% of CP

25% discount => SP =75% of MP

=> 95% of CP = 75% of MP

=> MP = 95/75 x 100

New SP if discount is 10% :

= 95/75 x 100 x 90/100 = 114

New Profit = 114 - 100 = 14

= 14% :-) Srinivasan

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A jacket marked 299 is sold at a discount of 12.5%. What is the selling price?

For Rs.100,discount=12.5

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S.P=Rs.299–37.38=Rs.261.62

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स्रोत : www.quora.com

What percentage above the CP must an article be marked to gain 35% after giving a discount of 10 %?

It must be marked 40% above the cost price.

At what percentage above the CP must an article be marked to gain 20% after giving a discount of 20 %?

Hence as per the given condition, the artile must be marked at 40% above its CP.

At what above the cost price must an article be marked so as to gain 12% after showing a discount of 20 %?

∴ Market Price =40% above C.P.

What is the profit percentage if the purchase price of an items is 80% of its selling price?

Detailed Solution. ∴ Profit% is 25%.

At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5?

It must be marked 40% above the cost price.

At what percentage above the cost price must an article be marked so as to gain 20%?

Therefore, MP is 40% above CP.

At what above the cost price must an article be marked so as to gain 12% after showing a discount of 20 %?

∴ Market Price =40% above C.P.

At what percentage above the cost price must an article be marked as so to gain 35%?

Solution(By Examveda Team).