Question

2 dozen pens were bought at Rs.10per pen. 4 pens were lost .The remaining pens were sold for Rs.210. Find the profit or loss

Answer 1

Answer:

$\boxed{\sf \: Loss = Rs \: 30 \: }$

Step-by-step explanation:

Given that,

$\sf \: Cost \: price \:of \: 1 \: pen \: = \: Rs \: 10$

Now, we know

1 dozen pen = 12 pens

So, 2 dozen pens = 2 × 12 = 24 pens

Thus,

$\sf \: Cost \: price \:of \:24 \: pens \: =10 \times 24 = \: Rs \: 240$

Now, 4 pens were lost.

So,

$\sf \: Selling \: price \:of \:remaining \: pens \: = \: Rs \: 210$

Now,

$\implies\sf \: Selling \: price \: < \: Cost \:price$

$\implies\sf \: Loss \: in \: this \: transaction$

Now,

$\sf \: Loss = Cost \: price \: - \: Selling \: price$

$\sf \: Loss = 240 \: - \: 210$

$\implies\sf \: \sf \: Loss = Rs \: 30$

$\rule{190pt}{2pt}$

Additional Information

$\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: - \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: - \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}$