Question

Find the CP. when
SP = Rs. 672. Profit= 5%​

Answer 1

Answer:

640 Rs

Step-by-step explanation:

(x×105) / 100 = 672 rs

x = 672 × 100 ÷ 105 = 640 Rs

Answer 2

Given :-

• Selling Price (S.P) = Rs 672
• Profit% = 5%

To Find :-

• Cost Price (C.P)

Formula :-

$\bigstar{\underline{\boxed{\mathcal {\pmb {\quad C.P \: = \: \dfrac{100}{ \: 100 \: + \: Profit \: \%}\: \times \: S.P \quad}}}}} \bigstar$

Solution :-

${:} \longrightarrow \: \sf{\sf{ C.P \: = \: \dfrac{100}{ \: 100 \: + \: Profit \: \%}\: \times \: S.P}} \\ \\ {:} \longrightarrow \: \sf{\sf{ C.P \: = \: \dfrac{100}{ \: 100 \: + \: 5}\: \times \: 672}} \\ \\ {:} \longrightarrow \: \sf{\sf{ C.P \: = \: \dfrac{100}{ \: 105}\: \times \: 672}} \\ \\ {:} \longrightarrow \: \sf{\sf{ C.P \: = \: \dfrac{100}{ \: \cancel{ 105}}\: \times \: \cancel{672}}} \\ \\ {:} \longrightarrow \: \sf{\sf{ C.P \: = \:100 \: \times \: 6.4}} \\ \\ {:} \longrightarrow \: \sf \boxed{\sf{ C.P \: = \: 640}} \: \red \bigstar$

Thus, Cost Price = Rs,640

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★ Additional Info :

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

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