Question

a shop seller increases the price of an article by 20% on its cost price and then offers a discount of 15%. by this if he obtained a profit of $50 then what will be the cost price of the article for the seller​

Answer 1

Step-by-step explanation:

Let the cost price (CP) be x

$\rm Increase\: in \: CP = 20\% = [tex]\dfrac{20x}{100}$

$\rm New \: CP = x + \dfrac{20x}{100 } = \dfrac{120x}{100}$

Discount% = 15% on new CP

$\rm Discount =\dfrac{ 15}{100} \times \dfrac{120x}{100}$

$\rm Discount = \dfrac{18x}{100}$

$\rm \dashrightarrow SP = New \: CP - Discount$

$\rm \dashrightarrow SP =\dfrac{120x}{100} - \dfrac{18}{100}$

$\rm \dashrightarrow SP =\dfrac{102x}{100}$

Now,

$\rm \dashrightarrow Profit = SP - CP$

$\rm \dashrightarrow 50 = \dfrac{102x}{100} x$

$\rm \dashrightarrow 50 = \dfrac{2x}{100}$

$\rm \dashrightarrow x = 50 \times \dfrac{100}{2}$

$\rm \dashrightarrow x = \dfrac{5000}{2} = 2500$

∴ Cost Price of the article is $2500

Answer 2

Answer:

Let initial cost price be Rs. x

Let initial cost price be Rs. xProfit =

Let initial cost price be Rs. xProfit = 100

Let initial cost price be Rs. xProfit = 10020

Let initial cost price be Rs. xProfit = 10020

Let initial cost price be Rs. xProfit = 10020 ×x=

Let initial cost price be Rs. xProfit = 10020 ×x= 5

Let initial cost price be Rs. xProfit = 10020 ×x= 5x

Let initial cost price be Rs. xProfit = 10020 ×x= 5x

Let initial cost price be Rs. xProfit = 10020 ×x= 5x

Let initial cost price be Rs. xProfit = 10020 ×x= 5x So, Selling price = x+

Let initial cost price be Rs. xProfit = 10020 ×x= 5x So, Selling price = x+ 5

Let initial cost price be Rs. xProfit = 10020 ×x= 5x So, Selling price = x+ 5x

Let initial cost price be Rs. xProfit = 10020 ×x= 5x So, Selling price = x+ 5x

Let initial cost price be Rs. xProfit = 10020 ×x= 5x So, Selling price = x+ 5x New cost price = x+50

Let initial cost price be Rs. xProfit = 10020 ×x= 5x So, Selling price = x+ 5x New cost price = x+50New selling price = ×100

×100According to the question profit %= (20−

×100According to the question profit %= (20−

×100According to the question profit %= (20− ⇒ 6x−600=5x+250

×100According to the question profit %= (20− ⇒ 6x−600=5x+250⇒ x=850

×100According to the question profit %= (20− ⇒ 6x−600=5x+250⇒ x=850Therefore, cost price of article is Rs. 850.