Question

By selling a book for ₹972, a profit of 8% is made. Find the cost price of the book.

Answer 1

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer 2

Given :

• Selling Price (S.P) = Rs 972
• Profit % = 8%

To Find :

• Cost Price of Book

Formula :

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

Solution :

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

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: 100 \: + \: 8} \: \times \: 972 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: 108} \: \times \: 972 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: \cancel{108}} \: \times \: \cancel{972}} }$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: 100 \: \times \: 9 }}$

$\qquad \quad {:} \longrightarrow \sf \boxed{\bf{C.P \: = \: Rs \: 900}}$

Thus Cost Price of Book is Rs 900

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

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