Question

by selling a pen for $ 289, a shopkeeper incurs a loss of 15% at what price should he sell it to earn a profit of 35%​

Answer 1

$\sf\large\underline{Given:}$

$\tt{\implies Selling\: price\:of\:pen=\ 289}$

$\tt{\implies Loss\:on\: selling\:pen=15\%}$

$\sf\large\underline{To\: Find:}$

$\tt{\implies New\:selling\: price\:_{(pen)}=?}$

$\sf\large\underline{Solution:}$

• To calculate new selling price of the pen, at first we have find out the cost price of the pen]

$\tt{\implies CP=\dfrac{100}{100-L\%}\times\:SP}$

$\tt{\implies CP=\dfrac{100}{100-15}\times\:289}$

$\tt{\implies CP=\dfrac{100}{85}\times\:289}$

$\tt{\implies CP=\dfrac{100}{5}\times\:17}$

$\tt{\implies CP=20\times\:17}$

$\tt{\implies CP=\ 340}$

• Now calculate the new selling price of the pen]

$\sf\large\underline{Now,\:we\:have:}$

$\tt{\implies Cost\: price\:of\:pen=\ 340}$

$\tt{\implies profit\:on\: selling\:pen=35\%}$

$\tt{\implies New\:_{(sp)}=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies New\:_{(sp)}=\dfrac{100+35}{100}\times\:340}$

$\tt{\implies New\:_{(sp)}=\dfrac{135}{100}\times\:340}$

$\tt{\implies New\:_{(sp)}=\dfrac{135\times\:34}{10}}$

$\tt{\implies New\:_{(sp)}=\dfrac{4590}{10}}$

$\tt{\implies New\:_{(sp)}=\ 459}$

$\sf\large{Hence,}$

$\bf{\implies New\:_{(selling\: price\:of\:pen)}=\ 459}$

$\tt{\underbrace{Answer-(\ 459)}}$

Answer 2

Step-by-step explanation:

Thus the cost of pen when shopkeeper sell the pen in 35%profit=459

answer

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