Question

Mr. Desai purchased a tape recorder and spent ₹66 on its repair. He sold the tape recorder for ₹7,130 and made a profit of 24%. At what price did be buy the tape recorder? ​

Answer 1

Question :

Mr. Desai purchased a tape recorder and spent ₹66 on its repair. He sold the tape recorder for ₹7,130 and made a profit of 24%. At what price did be buy the tape recorder?

Answer :

$\sf\pink{Given:}$

• selling price is Rs 7130

• profit % is 24%

• Rs 66 spent on repairing .

$\sf\pink{to\:find:}$

• Cost price ?

Explanation :

$\bf{CP = \dfrac{100}{100 + profit\: percent}\times SP }$

$\longrightarrow\bf{ \dfrac{100}{100 + 24}\times 7130}$

$\longrightarrow\bf{ \dfrac{100} {124}\times 7130}$

$\longrightarrow\bf{ \dfrac{713000}{124}}$

$\longrightarrow\bf{ \dfrac{713000}{124}}$

$\longrightarrow\bf{ 5750}$

• Therefore its cost price including the repairing cost is Rs 5750

Its cost price without repairing cost :

$\longrightarrow\bf{ 5750 - 60}$

$\longrightarrow\bf{ 5690}$