Question

a merchant sold his goods for Rs. 75 at a profit percent equal to the cost price. his cost price is?

Answer 1

Answer:

see the explanation in above image answer is 50

Answer 2

Answer:

Cost price = Rs 50

Step-by-step explanation:

Selling price (s.p)=Rs 75,

Let cost price(c.p)=Rs x,

Profit percent(g) = x%

$Cost\:price \left(\frac{100+g}{100}\right)=s.p$

$\implies x\left(\frac{100+x}{100}\right)=75$

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

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

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

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

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

$\implies x-50=0\:Or \:x+150=0$

$\implies x = 50\:or\:x=-150$

x should not be negative.

Therefore,

x = 50

Cost price (x) = Rs 50

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