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An almirah was bought for Rs 700 and 125 was spent on its repairs and
transportation. It was sold at a profit of 10%. Find the selling price of the
almirah.
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Answer:
700+125= 825
therefore 10% +825=selling price
10% of 825 = 10/100 *825
=82.5
therefore selling price= 825+82.5=907.5
answer is 907.5 rupees
Verified answer
Answer:
[tex]\qquad\boxed{ \sf{ \: \sf \: Selling \: Price \:of \: an \: almirah \: = \:Rs \: 907.50 \: }} \\ \\ [/tex]
Step-by-step explanation:
Given that,
An almirah was bought for Rs 700 and 125 was spent on its repairs and transportation.
So, it means
Cost Price of almirah = 700 + 125 = Rs 825
Profit % = 10 %
We know,
Selling Price, Cost Price and Profit % are connected by the relationship
[tex]\boxed{ \sf{ \:Selling \: Price \: = \: \dfrac{(100 + Profit\%) \times Cost \: Price}{100} }} \\ \\ [/tex]
So, on substituting these values, we get
[tex]\sf \: Selling \: Price \: = \: \dfrac{(100 + 10) \times 825}{100} \\ \\ [/tex]
[tex]\sf \: Selling \: Price \: = \: \dfrac{110 \times 825}{100} \\ \\ [/tex]
[tex]\sf \: Selling \: Price \: = \: \dfrac{11 \times 825}{10} \\ \\ [/tex]
[tex]\sf \: Selling \: Price \: = \: \dfrac{11 \times 165}{2} \\ \\ [/tex]
[tex]\sf \: Selling \: Price \: = \: \dfrac{1815}{2} \\ \\ [/tex]
[tex]\sf\implies \sf \: Selling \: Price \: = \:Rs \: 907.50 \\ \\ [/tex]
[tex]\rule{190pt}{2pt}[/tex]
ADDITIONAL INFORMATION
[tex]\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}[/tex]