Question

8. A dealer bought an air conditioner for 25 000. What was the selling price if he sold it a (1) profit of 15% (2) loss of 4%​

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

A dealer bought an air conditioner for Rs.25000 .

$\underline{\bf{Explanation\::}}$

$\underbrace{\bf{1^{st}\:condition\::}}$

• Cost price of an air conditioner, (C.P) = Rs.25000
• Profit = 15%
• Selling price = ?

Using formula of the selling price according to the given question;

$\boxed{\bf{Selling\:price = \bigg(\frac{100+profit\:\%}{100} \bigg) C.P }}$

A/q

$\mapsto\tt{Selling\:\:price =\bigg( \dfrac{100+15}{100} \bigg)\times 25000}$

$\mapsto\tt{Selling\:\:price = \dfrac{115}{100} \times 25000}$

$\mapsto\tt{Selling\:\:price = \dfrac{115}{\cancel{100}} \times 250\cancel{00}}$

$\mapsto\tt{Selling\:\:price = Rs.(115 \times 250 )}$

$\mapsto\bf{Selling\:\:price = Rs.28750}$

$\underbrace{\bf{2^{nd}\:condition\::}}$

• Cost price of an air conditioner, (C.P) = Rs.25000
• Loss = 4%
• Selling price = ?

Using formula of the selling price when show loss a/q;

$\boxed{\bf{Selling\:price = \bigg(\frac{100-loss\:\%}{100} \bigg) C.P }}$

$\mapsto\tt{Selling\:\:price =\bigg( \dfrac{100-4}{100} \bigg)\times 25000}$

$\mapsto\tt{Selling\:\:price = \dfrac{96}{100} \times 25000}$

$\mapsto\tt{Selling\:\:price = \dfrac{96}{\cancel{100}} \times 250\cancel{00}}$

$\mapsto\tt{Selling\:\:price = Rs.(96 \times 250 )}$

$\mapsto\bf{Selling\:\:price = Rs.24000}$

Answer 2

Step-by-step explanation:

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