Question

Sp=rupee 3000 gain%= 50% find it's cp

Answer 1

Given:

• Selling price, S.P = Rs. 3000

• Gain% = 50%

To find out:

Find the cost price, C.P .

Formula used:

$\boxed{ \red {C.P = \frac{100 \times S.P}{100 + profit\%}} }$

Solution:

$C.P = \frac{100 \times \: S.P }{100 + profit\%}$

$\star \: \purple {Putting \: the \: value}$

$C.P = \frac{100 \times 3000}{100 + 50}$

$C.P = \frac{300000}{150}$

$C.P = 2000$

Knowledge Enhancer

• Selling price (S.P) is the amount at which a shopkeeper sells in his goods.

• Cost price (C.P) is the amount at which a shopkeeper buys his goods.

Answer 2

$\huge {\red {\mathfrak {Question :-}}}$

• SP= Rs 3000 and Gain%=50%, find its CP.

$\huge {\pink {\mathfrak {Solution :-}}}$

$\underline {\bold{Given:}}$

• SP= Rs 3000
• Gain%=50%,

$\underline {\bold{To\:Find:}}$

• The CP.

$\boxed {\blue {SP=CP+Gain}}$

We know that gain or loss occur on CP :

Let the CP be Rs x.

Atq,

$\implies SP=CP+Gain \\ \\ \implies 3000 = x + x \times \dfrac{50}{100 } \\ \\ \implies 3000 = x + \dfrac{x}{2} \\ \\ \implies 3000 = \dfrac{2x + x}{2} \\ \\ \implies 3000 = \dfrac{3x}{2} \\ \\ \implies 3000 \times 2 = 3x \\ \\ \implies \dfrac{3000 \times 2}{3} = x \\ \\ \implies 1000 \times 2= x \\ \\ \implies 2000 = x \\ \\ \implies x = 2000$

$\green {\tt {\therefore{The\:CP\:is\:Rs\:2000.}}}$

$\rule{307}{2}$