Question

A dealer sells an article for rupees 75 and gains as much per cent as the cost price of the article. Find the cost price of the article​

Answer 1

Answer:

Step-by-step explanation:

selling price of article is 75 rs

cost price =?

gain percent=?

cost price = sp*100/(100+ pecent profit)

x=7500/100+x

100x + x² =7500

x² + 100x - 7500 = 0

now u can find x

THANK YOU

Answer 2

$\large{\underline{\rm{\pink{\bf{Given:-}}}}}$

Selling price of article = Rs. 75

Cost price of the article = Rs x

$\large{\underline{\rm{\pink{\bf{To \: Find:-}}}}}$

The cost price of the article​.

$\large{\underline{\rm{\pink{\bf{Solution:-}}}}}$

Given that, the selling price is Rs. 75

Let us consider the cost price to be x

$\underline{\boxed{\sf Profit \: \%=\dfrac{Profit}{Cost \: Price} }}$

So, gain price= x%

According to the question,

$\implies \sf Rs. \: x+ \bigg( Rs. \: \dfrac{x}{100} \times x \bigg)= \: Rs. \: 75$

$\implies \sf \dfrac{100x+x^{2}}{100} =75$

$\implies \sf x^{2}+100x=7500$

$\implies \sf x^{2}+100x-7500=0$

$\implies \sf x^{2}+150x-50x-7500=0$

$\implies \sf x(x+150)-50(x+150)=0$

$\implies \sf (x-50)(x+150)=0$

$\implies \sf x-50=0 \: or \: x+150=0$

$\longrightarrow \sf x = 50 \: or\: x = -150$

$\longrightarrow \sf x = 50$

Therefore, the cost price of the article is Rs. 50

$\large{\underline{\rm{\pink{\bf{To \: Note:-}}}}}$

➺ The price at which an article is purchased, is called its cost price (C.P.)

➺ Price at which an article is purchased is known as its selling price (S.P.)

➺ If S.P. is greater than C.P. then the seller is said to have profit or gain.

➺ If S.P. is less than C.P. the seller is said to have incurred Loss.

✦ Gain = SP – CP

✦ Loss = CP – SP