Question

Sheela bought a book for Rs. 260 and sold it for gain of 5% . Find the selling price of the book

Answer 1

Given :

• Cost of Book = Rs 260
• Gain% = 5%

To Find :

• Selling Price of the Book.

Solution :

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

${:} \longrightarrow \sf{\sf{ S.P \: = \: \dfrac{100 \: + \: 5}{100} \: \times \: 260}}$

${:} \longrightarrow \sf{\sf{ S.P \: = \: \dfrac{100 \: + \: 5}{10 \cancel0} \: \times \: 26 \cancel0}}$

${:} \longrightarrow \sf{\sf{ S.P \: = \: \dfrac{100 \: + \: 5}{10 } \: \times \: 26 }}$

${:} \longrightarrow \sf{\sf{ S.P \: = \: 100 \: + \: 5 \: \times \: 2.6 }}$

${:} \longrightarrow \sf{\sf{ S.P \: = \: 105 \: \times \: 2.6 }}$

${:} \longrightarrow {\underline{\boxed {\mathcal{\pmb{\quad S.P \: = \: Rs \: 273\quad}}}}}$

Thus Selling Price of the Book is Rs 273

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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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