Question

By selling an almirah for 10416 rupees, a man gains 12%. What will be his gain or loss% if it is sold for 9114 rupees?

Answer 1

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

$\tt{\implies SP\:of\: almirah=Rs.10416}$

$\tt{\implies Profit\:on\: selling=12\%}$

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

• Profit or loss% after selling for Rs.9114]

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

• At first calculate the cost price of almirah than calculate profit or loss % if the almirah was sold for Rs.9114]

$\sf\large\underline{Formula\: used:}$

$\tt{\implies CP=\dfrac{100}{100+G\%}\times\:SP}$

$\tt{\implies CP=\dfrac{100}{100+12}\times\:10416}$

$\tt{\implies CP=\dfrac{100}{112}\times\:10416}$

$\tt{\implies CP=100\times\:93}$

$\tt{\implies CP=Rs.9300}$

• Now, calculate profit or loss % here before calculating we have to notice on selling price and cost price by noticing we get that CP is greater than SP so, we get loss here]

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

$\tt{\implies L\%=\dfrac{9300-9114}{9300}\times\:100}$

$\tt{\implies L\%=\dfrac{186}{9300}\times\:100}$

$\tt{\implies L\%=\dfrac{18600}{9300}}$

$\tt{\implies L\%=2\%}$

$\sf\large{Hence,}$

• The man got loss of 2% if he sold the almirah for Rs. 9114]

$\tt{\underbrace{Answer-(2\%)}}$