# a dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. how much percent above the cost price were his wares listed?

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## A dealer offers a cash discount of 20 % and still makes a profit of 20 %, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed?

A dealer offers a cash discount of 20 % and still makes a profit of 20 %, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed?

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Quantitative Aptitude

Profit, Loss & Discount

A dealer offe... Question

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed?

A 100 % B 80 % C 75 % D 66 2 3 % Open in App Solution

The correct option is **B**

100 %

If listed price of article be Rs.100 then discounted price be Rs.80 (since discount = 20%)

After offering 16 articles to a dozen

Price of 16 articles

= 80 × 12

Price of one article

= 80 × 12 16 = 60 Profit = 20% Cost price x (say) = 60 − x × 20 100 ⇒ x + x 5 = 60 ⇒ x = 60 × 5 6 x = 50

Percent above the cost price

= 100 − 50 50 × 100 = 100 %

Profit, Loss & Discount

Other Quantitative Aptitude

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SIMILAR QUESTIONS

**Q.**A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed ?

**Q.**A dealer offers a discount of 20% and still makes a profit of 20% and he further allows 4 articles free on the sale of 12 articles. Find the ratio of cost price to marked price.

**Q.**A trader lists his articles

20 %

above cost price and allows a discount of

10 %

on cash payment. His gain per cent is

**Q.**Tick (✓) the correct answer:

A dealer lists his articles at 20% above cost price and allows a discount of 10%. His gain per cent is

(a) 10% (b) 8% (c) 9 % (d) 814%

**Q.**A person wants to sell his goods at 20% profit after allowing a discount of 16 2/3% on marked price. How much % above the cost price should he mark his article?

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## A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed?

Answer (1 of 6): It is definitely a tricky question. Step 1: let Cost price (CP) be 100. he makes 20% profit on entire deal. therefore Selling price (SP) will be 120. Marked Price (MP): ? MP=(100 x SP) / (100 - Discount%) …………Basic Formula MP=(100 x 120) / (100 – 20) MP=150 Step 2: dealer is...

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed?

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Sort Sukesh S

Editor at The Theosophical Society (2014–present)Author has 253 answers and 114.1K answer views2y

When the dealer allows 16 to a dozen to a buyer, the discount is 4/16 = 25%

Cash discount = 20% Profit = 20%

Therefore, SP = CP * 1.20 = MP * 0.75 * 0.80

=> MP/CP = 1.2 / (0.75*0.8) = 1.2 * 4/3 * 5/4 = 2

Thus MP is 2 times CP, or (MP-CP)/CP = 1

Thus markup was 100%

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Kartik S

BE in Mechanical Engineering, University of Mumbai (Graduated 2002)3y

Let us say the cost price per ware is X and the listed price is Y.

Then he gave a discount of 20% and sold 16 articles for the discounted price of 12 articles. So the equation is as follows:

(12/16)*0.8Y = 1.2X

Y= (1.2/0.8)*(16/12)*X

Y = 2X

The original selling price is 100% above the cost price.

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Omkar Kotwal

Studied at Savitribai Phule Pune University (SPPU)2y

It is definitely a tricky question.

Step 1: let Cost price (CP) be 100. he makes 20% profit on entire deal. therefore Selling price (SP) will be 120. Marked Price (MP): ?

MP=(100 x SP) / (100 - Discount%) …………Basic Formula

MP=(100 x 120) / (100 – 20)

MP=150

Step 2: dealer is selling 16 articles for the cost price of 12 articles. now Loss=?

SP=CP x ((100-loss%) / 100))…………………Basic Formula

SP of 16 articles= (CP of 16 articles) x ((100 - loss%) / 100))

given that SP of 16 articles=CP of 12 articles.

CP of 12 articles= (CP of 16 articles) x ((100 - loss%) / 100))

12 x 100 = 16 x (100 - loss%)

75= 100 - loss Vasudevan A.N.S.

Former Retired Professor of Chemistry. (1977–2014)Author has 7.8K answers and 9M answer views1y

Let us assume the Cost Price of an article= Rs 100

To gain a profit of 20%, ie the Sale Price is Rs 120 , then the marked price (M.P) = Rs 120/0.8 = Rs 150

{We know S.P=M.P X (100– D)/100}

Now the dealer offers 16 — articles instead of 12.

So to maintain the same 20% Profit, even after giving 4- articles free for adozen, he has to increase the Marked Price by (⅓) times.

So the final Marked Price should be = Rs 150 X (4/3)= Rs 200. !!!!

So if the Marked Price is 100% more than the Cost Price, then only the dealer can enjoy a Profit of 20%.

==================================

The dealer gives 16- article

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Tarun Bedi

Assistant Section Officer at Ministry of Health and Family Welfare, India (2018–present)Author has 233 answers and 175.1K answer views1y

Let's say cost of 16 articles after 20% discount is Rs 16. - - - - (1)

And after bargaining customer gets them for Rs 12 i.e 25% discount again.

Now on this Rs 12 he gains 20% so CP must be 12/1.2=10

In statement (1) cost of 16 articles before discount should be 16/0.8=20 (MP)

Percentage Markup =(20-10)/10*100= 100%

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Om Sharma

Masters in Engg.(M.E.) from Panjab University, Chandigarh (Graduated 1967)Author has 867 answers and 302.5K answer views2y

0.8×12/16×MP=1.2CP

MP/CP=1.2×16/12/0.8= 2 i.e. 100% above CP

Rajnish Jaswal

## A dealer offers a cash discount of 20 and still makes

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed? a) 100% b) 80% c) 75% d) $$66\frac{2}{3}$$%

Examveda

## A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed?

A. 100% B. 80% C. 75% D. 66 2 3 6623 %

**Answer: Option A**

### Solution(By Examveda Team)

Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP = X + 20% of X = 1.2x

It is given that he incurs loss by selling 16 articles at the cost of 12 articles [loss =

16−12 16 16−1216 = 25%]

His selling price = SP - 25% of SP = SP × 0.75

Hence, SP × 0.75 = 1.2X

Or, SP = 1.2×x 0.75 1.2×x0.75 = 1.6X

This SP is arrived after giving a discount of 20% on MP.

Let MP = Y Y - 20% of Y = SP 0.80Y = 1.6X Y = 2X

It means that the article has been marked 100% above the cost price. Or Marked Price was twice of cost price.

### Click here to read 1000+ Related Questions on Profit and Loss(Arithmetic Ability)

## Join The Discussion

Join The Discussion Comments ( 4 )

Rased Khan : 2 years ago 100-20=80 100+20=120 now 80*120/100=96 100-96=4% 16-12/16*100=25% now 4%*25%=100% Md Helal : 4 years ago

CP : SP = 3 : 4 (Quantity)

CP : SP = 4 : 3 (Price)

MP*(4/5)*(3/4) = (6/5)*CP

⇒ MP : CP = 2 : 1

Above% = 1*(100/1) = 100%

Shubham Singh : 5 years ago M4/5*12/16=6/5C M/c=2/1 2-1=1/1=100% Pranshu Kakkar : 5 years ago

This question seems incomplete as the solution given mentions some loss on a dozen.

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