Question

by selling an article at a discount of 25 percent a shopkeeper gets 3rd 16 less than profit than by selling it 16 2/3 percent discount if the cost price of 12 articles is equal to marked price of 8 articles then find cp of each article​

Answer 1

According to given problem,

(i) If an article is sold at 25% discount and the profit percentage is 10%

(ii) If 10% discount is given, then the profit is 240.

(iii) Let C, M & S denote respectively the cost-price, the marked-price & the sell-price of the given article.

From (i) & (iii) we get following relations,

S = (1 - 25/100)*M = 0.75*M …… (1a)

S = (1 + 10/100)*C = 1.10*C …… (1b)

From (1a) & (1b) we get,

1.10*C = 0.75*M

or C = (0.75/1.10)*M = (15/22)*M …… (1c)

From (ii) & (iii) we get following relations,

S = (1 - 10/100)*M = 0.90*M …… (1d)

S = 240 + C …… (1e)

From (1d) & (1e) we get,

0.90*M = 240 + C = 240 + (15/22)*M [from (1c)]

or (9/10 - 15/22)*M = 240

or (3/2)*(3/5 - 5/11)*M = 240

or (8/55)*M = 160 or M = 20*55 = 1100 (Rs) [Ans]

this is much similar to your question please do it like this

Please make my answer brainliest

Answer 2

The CP of the article is Rs. 128.

Given:

By selling an article at a discount of 25 percent a shopkeeper gets Rs 16 less than profit than by selling it 16 2/3 percent discount i

the cost price of 12 articles is equal to marked price of 8 articles

To find:

Find the CP of article

Solution:

Let the cost price of each article be x.

The cost price of 12 articles = 12 * x = 12x

Marked price of 8 articles = cost price of 12 articles = 12x

Marked price of each article = 12x/8 = 3x/2

25% discount on marked price

Discount =marked price* discount%/100

Amount of discount = 3x/2 * 25/100  = 3x/2 * 1/4 = 3x/8

The selling price = Marked price - discount =3x/2 - 3x/8 = (12x-3x)/8 = 9x/8

Profit = Selling price - cost price = 9x/8 - x = (9x-8x)/8 = x/8

16 2/3 % discount on marked price.

Amount of discount = 3x/2 * 50/300  = 3x/2 * 1/6 = x/4

The selling price = Marked price - discount = 3x/2 - x/4= (6x-x)/4 = 5x/4

Profit = Selling price - cost price = 5x/4- x = (5x-4x)/4 = x/4

The difference in profit = x/4 - x/8 = (2x-x)/8 = x/8

As it is given x/8 = 16

x = 16*8 = Rs. 128

Hence, the cost price of article is Rs. 128.

#SPJ2