Question

1. Find the C.P. when.
O S.P. = 1575, gain = 5%​

Answer 1

$\sf\underbrace{Question:-}$

Find the C.P., when S.P. = ₹1575 and gain = 5%

$\sf\Large{\underline{\underline{Answer:-}}}$

Given,

• C.P. = ?

• S.P. = ₹1575

• Gain = 5%

As we know,

$\begin{gathered}\\\;\sf{:\rightarrow\;\;CP\;=\;\bf{\dfrac{SP \times 100}{(100 + gain\%)}\:}}\end{gathered}$

Now, Substitute the values

$\begin{gathered}\\\;\sf{:\rightarrow\;\;C.P.\;=\;\bf{\dfrac{1575 \times 100}{(100 \; 5)}\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;C.P.\;=\;\bf{\dfrac{1575 \times 100}{(105)}\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;C.P.\;=\;\bf{\dfrac{157500}{(105)}\:}}\end{gathered}$

$\Longrightarrow$ $\sf{\cancel\dfrac{157500}{105}}$ = ₹1500

∴ The C.P. = ₹1500

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Answer 2

$\sf\underbrace{Question:-}$

Find the C.P., when S.P. = ₹1575 and gain = 5%

$\sf\Large{\underline{\underline{Answer:-}}}$

Given,

• C.P. = ?

• S.P. = ₹1575

• Gain = 5%

As we know,

$\begin{gathered}\\\;\sf{:\rightarrow\;\;CP\;=\;\bf{\dfrac{SP \times 100}{(100 + gain\%)}\:}}\end{gathered}$

Now, Substitute the values

$\begin{gathered}\\\;\sf{:\rightarrow\;\;C.P.\;=\;\bf{\dfrac{1575 \times 100}{(100 \; 5)}\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;C.P.\;=\;\bf{\dfrac{1575 \times 100}{(105)}\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;C.P.\;=\;\bf{\dfrac{157500}{(105)}\:}}\end{gathered}$

$\Longrightarrow$ $\sf{\cancel\dfrac{157500}{105}}$ = ₹1500

∴ The C.P. = ₹1500

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$\huge\colorbox{lime}{ᴍʀ.ᴀsʜɪᴛ࿐ ❤}$