Question

Find C.P. if S.P. = 1250 and profit=150​

Answer 1

A N S W E R :

• C.P. (Cost price) is Rs. 500.

Given :-

• S.P. (Selling price) = Rs. 1250.
• Profit% = 150%

To find :-

• C.P. (Cost price)

★ As we know that,

• Formula used

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

★ Substituting the values :

:$\implies$ $C.P. = \frac{100}{100 \: + \: profit} \times 1250$

$\\[/rex]</p><p>[tex]~~~$:$\implies$$C.P.= \frac{100}{100 \: + \: 150} \times 1250$

$~~~~~~$:$\implies$ $C.P. = \frac{100}{250} \times 1250$

$~~~~~~~~~~$:$\implies$C.P. = $\dfrac{\cancel{1250}}{\cancel{250}}$

$~~~~~~~~~~~~~~~$:$\implies$ ${\underline{\boxed{\bf{\frak{\pink{C.P.~=~Rs.~500}}}}}}$★

$\large\dag$ Hence,

• Cost price is $\large\rm{\underline{Rs.~500}}$

______________________

${\large{\underline{\frak{\pmb{Additional~Information}}}}}$

$\begin{gathered} \small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }\end{gathered}$

Answer 2

Answer:

A N S W E R :

C.P. (Cost price) is Rs. 500.

Given :-

S.P. (Selling price) = Rs. 1250.

Profit% = 150%

To find :-

C.P. (Cost price)

★ As we know that,

Formula used

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

★ Substituting the values :

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

$~~~~~$:$\implies$ $C.P. = \frac{100}{100} \: + \: 150%} \times 1250}}$

$~~~~~~~~~~$:$\implies$ $C.P. = \frac{100}{250} \times 1250}}$

$~~~~~~~~~~~~~~~$:$\implies$C.P. = $\dfrac{\cancel{1250}}{\cancel{250}}$

$~~~~~~~~~~~~~~~~~~~~$:$\implies$ ${\underline{\boxed{\bf{\frak{\pink{C.P.~=~Rs.~500}}}}}}$★

$\large\dag$ Hence,

Cost price is $\large\rm{\underline{Rs.~500}}$ $\large{\bf{\checkmark\{green$

______________________

${\large{\underline{\frak{\pmb{Additional~Information}}}}}$

$\begin{gathered} \small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }\end{gathered}$