Question

Ganesh sold a tape recorder to Mahesh at a gain of 20%. Mahesh sold it.
to Ramesh for Rs. 672 on the profit of 12%. For how much did Ganesh
purchase the tape recorder ?​

Answer 1

Step-by-step explanation:

this type of question can be done very easily using % method

Answer 2

$\sf\large\underline\blue{Let:}$

$\sf{\implies The\:CP\:_{(for\: Ganesh)}=x}$

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

$\sf{\implies The\:CP\:_{(for\: Ganesh)}=?}$

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

• At first we have to calculate the cost price of tape recorder for Mahesh when Ganesh sold the tape recorder at a gain of 20%. After that calculate the cost price of tape recorder for Ganesh.]

$\sf\small\underline\blue{CP\:for\:Mashesh:}$

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

$\tt{\implies SP=\dfrac{100+20}{100}\times\:x}$

$\tt{\implies SP=\dfrac{120x}{100}}$

• Given in the question that,Mahesh sold the tape recorder to Ramesh for Rs. 672 on the profit of 12%.

$\sf\small\underline\blue{CP\:for\:Ganesh:}$

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

$\tt{\implies 672=\dfrac{100+12}{100}\times\dfrac{120x}{100}}$

$\tt{\implies 672=\dfrac{112}{100}\times\dfrac{120x}{100}}$

$\tt{\implies 672\times\:100\times\:100=112\times\:120x}$

$\tt{\implies 6720000=13440x}$

$\tt{\implies x=Rs.500}$

$\sf\large{Hence,}$

$\sf\green{\implies The\:CP\:_{(for\: Ganesh)}=Rs.500}$