Question

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

Answer 1

Answer:

• C.P. (Cost price) is Rs. 500.

Step-by-step explanation:

Given :

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

To Find :

• C.P. (Cost price)

Calculation :

Formula to be used :

• $\boxed{ \rm{ \gray{C.P. \: = \dfrac{100}{100 + profit\%} \times S.P.}}}$

Putting the values,

$\longrightarrow \sf \: C.P. = \dfrac{100}{100 + profit\%} \times S.P.$

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$\longrightarrow \sf \: C.P. = \dfrac{100}{100 + 150\%} \times 1250$

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$\longrightarrow \sf \: C.P. = \dfrac{100}{250} \times 1250$

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$\longrightarrow \sf \: C.P. = \cancel\dfrac{1250}{250}$

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$\longrightarrow{ \boxed {\sf \: C.P. = Rs. \: 500}} \: \red {\bigstar}$

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Therefore, cost price is Rs. 500.

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$\dag$ More Formulae:

» $\bf \: Gain = S.P. - C.P.$

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» $\bf \: \: Gain\% = \bigg( \dfrac{gain}{C.P.} \times 100 \bigg )\%$

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» $\bf \: Loss = C.P. - S.P.$

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» $\bf \: Loss\% = \bigg( \dfrac{loss}{C.P.} \times 100 \bigg )\%$

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» $\bf \: C.P. = \dfrac{100}{(100 + gain\%)} \times S.P.$

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» $\bf \: C.P. = \dfrac{100}{(100 - loss\%)} \times S.P.$

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» $\bf \: S.P. = \dfrac{(100 + gain\%)}{100} \times C.P.$

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» $\bf \: S.P. = \dfrac{(100 - loss\%)}{100} \times C.P.$

Answer 2

Given :-

$~~~~~~~~$

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

$~~~~~~$

To find :-

$~~~~~~$

• C.P ( Cost Price )

$~~~~$

Solution :-

$~~~$

$\dag$ Calculation :

★ Formula Used :

$~~~~~$

• ${\boxed{\underline{\green{\sf{C.P. = \frac{100}{100 + profit%} \times S.P.}}}}}$

$~~~~~$

★ Putting the values :

$~~~~$

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

$~~~~$

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

$~~~~$

$\implies$ $\large{\sf{C.P. = \frac{100}{250} \times 1250}}$

$~~~~$

$\implies$ $\large\sf{C.P = \dfrac{\cancel{1250}}{\cancel{250}}}$

$~~~~$

${\underline{\boxed{\purple{\sf{C.P. = Rs. 500}}}}}$★

$~~~~$

$\large\dag$

$~~~~~$

Therefore, cost price is Rs. 500.

$~~~$

$~~~~~~~~~~~~~$ ___________________

$~~~~~~~~~~~~~$ ★ More Formula's :

$~~~~~~~~~~~~~$ ___________________

$~~~~~~$

$\rightarrow$ ${\rm{Gain~=~S.P.~-~C.P.}}$

$~~~~~$

$\rightarrow$ ${\rm{Gain% = ( \frac{gain}{C.P.} \times 100)%}}$

$~~~~~$

$\rightarrow$ ${\rm{Loss~=~C.P.~-~S.P.}}$

$~~~~$

$\rightarrow$ ${\rm{Loss% = ( \frac{loss}{C.P.} \times 100)%}}$

$~~~~$

$\rightarrow$ ${\rm{C.P. = \frac{100}{(100 + gain%)} \times S.P.}}$

$~~~~$

$\rightarrow$ ${\rm{C.P = \frac{100}{(100 - loss%)} \times S.P.}}$

$~~~~~$

$\rightarrow$

$\large\sf{S.P. = \frac{(100 + gain%)}{100} \times C.P.}}$

$~~~~$

$\large{\sf{S.P. = \frac{(100 - loss%)}{100} \times C.P.}}$