Question

* The cost price or 12 candles is equal to the selling price of 15 candles. Find the loss
per cent.
​

Answer 1

$\huge \sf \underline \red{Refer \ to \ attachment: }$

• Method (1) Refer to attachment ↑

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Method (2): Here the solution: ↓

$\huge \sf \underline \red{Answer : }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: x = 20\%}$

$\huge \sf \underline \pink{To \: Find :}$

• loss percent %

$\huge \sf \underline \blue{Given : }$

• The cost price of 12 candles is equal to the selling price of 15 candles

• CP is cost price

• SP is selling price

$\huge \sf \underline \orange{solution : }$

$\sf{Let\: the \: CP \: of \: candles \: be \: x}$

$\sf{Let \: the \:SP \: of \: candles \: be \: x}$

$\sf{CP \: of \: one \: candle \: be \: \dfrac{x}{12}}$

$\sf{SP \: of \: one \: candle \: be \: \dfrac{x}{15}}$

$\sf \underline \blue{we \: know \: that \: loss \: formula}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{ \boxed{ \underline{ \underline{ \red{ \tt{loss = CP - SP \: }}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: \dfrac{x }{12} - \dfrac{x}{15}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: \dfrac{(5x - 4x)}{60} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: \dfrac{x}{60} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: loss\% = \dfrac{(100x)}{60( \dfrac{x}{12} )} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: x = 20\%}$

Answer 2

$\huge \mathbb{ \underline{ \underline\red{ \red{S{ \pink{O{ \blue{L{ \purple{U{ \orange{T { \red{I{ \blue {O{ \green {N{ \: :-}}}}}}}}}}}}}}}}}}}$

$\: \: \:$

$\tt{Let \: SP \: of \: 1 \: candle = Rs. \: 1} \:$

$\tt{SP \: of \: 15 \: candles = Rs. \: 15} \:$

$\sf \pink{ \underline{Hence, }}$

$\tt {CP \: of \: 12 \: candles = Rs. \: 15}$

$\tt{SP \: of \: 15 \: candles = Rs. \: 12} \:$

$\sf \pink{ \underline{Therefore \: Loss}}$

$\tt = CP - SP$

$\tt = 15 - 12$

$\large \boxed { \sf { \red{= Rs. 3}}}$

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