Question

on selling an article for rupees 7200 a person loses 36.66% its selling price at what price he should be sell to gain 25% on its cost price​

Answer 1

Answer:

Step-by-step explanation:

CASE I

SP1 = 7200 Rs

loss% = 36.66%

let CP be x

loss amount = loss% of CP

CP - SP1 = loss % of CP

x - 7200 = 36.66% x

x - 7200 = 0.3666x

x - 0.3666x = 7200

0.6334x = 7200

x = 11367 Rs

CP = Rs 11367

CASE II

profit% = 25%

profit amount = profit % of CP

SP2 - CP = profit % of CP

SP2 - 11367 = 25% × 11367

SP2 = 2841.75 + 11367

SP2 = 14208 Rs

Answer 2

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

• $\rm{The\: selling\: price\: article=Rs.7200}$
• $\rm{Loss\:on\:the\: article=36.66\%}$

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

• $\rm{The\:new\: selling\: price\:of\: article=?}$

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

• At 1st calculate the cost the cost price of the article than calculate the new selling price of the article]

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

$\rm{\implies CP=\dfrac{100}{100-L\%}*SP}$

$\rm{\implies CP=\dfrac{100}{100-36.66}\times7200}$

$\rm{\implies CP=\dfrac{100}{63.34}\times7200}$

$\rm{\implies CP=\dfrac{720000}{63.34}}$

$\rm{\implies CP=Rs.11367.2245}$

• Now, calculate new selling price here]

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

• $\rm{The\:cost\: price\: article=Rs.11367.2245}$
• $\rm{Profit\:on\:the\: article=25\%}$

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

$\rm{\implies SP=\dfrac{100+25}{100}\times11367.2245}$

$\rm{\implies SP=\dfrac{125}{100}\times11367.2245}$

$\rm{\implies SP=\dfrac{1420903.06}{100}}$

$\rm{\implies SP=Rs.14209.0306}$

$\sf\large{Hence,}$

• The person should sell the article for Rs.14209.0306 to get profit of 25%]