Question

a man sells aa horse for rs 800 and loses something if he had sold it for rs 980 his gain would have been doubled the former loss find the cost price of the horse​

Answer 1

$\sf{\underline{\underline{Selling\: price\:_1\:=\:Rs.\:800}}}$

→ $\sf{Loss\:=\:Cost\:price\:-\:Selling \:price}$

→ $\sf{Loss\:=\:Cost\:price\:-\:800}$

$\sf{\underline {\underline {Selling\: price\:_2\:=\:Rs.\:980}}}$

→ $\sf{Gain\:=\:Selling\:price\:-\:Cost \:price}$

→ $\sf{Gain\:=\:980\:-\:Cost\:price}$

Also,

$\sf{\underline{\underline {Gain\:=\:2Loss}}}$

$\rightarrow\:\sf{2(Loss)\:=\:980\:-\:Cost \:price}$

$\rightarrow\:\sf{2(Cost \:price\:-\:800)\:=\:980\:-\:Cost \:price}$

$\rightarrow\:\sf{2Cost\:price\:-\:1600\:=\:980\:-\:Cost\:price}$

$\rightarrow\:\sf{2Cost\:price\:+\:Cost\:price\:=\:980\:+\:1600}$

$\rightarrow\:\sf{3Cost\:price\:=\:2580}$

$\rightarrow\:\sf{Cost\:price\:=\:860}$

•°• Cost price of the horse is 860.

Answer 2

$\large \bold{ \underline{ \underline{ \sf \: Answer : \: \: \: }}}$

$\to$ Cost price = Rs 860

$\large \bold{ \underline{ \underline{ \sf \: Explaination : \: \: \: }}}$

${ \star} \: \sf When \: selling \: price = Rs \: 800$

Loss = Cost price - Selling price

Loss = Cost price - 800

${ \star} \: \sf When \: selling \: price = Rs \: 980$

Gain = Selling price - Cost price

Loss = 980 - Cost price

According to the question ,

$Gain = 2 ( Loss ) \\ \\ \sf</p><p>980 - Cost \: price = 2 ( Cost \: price - 800 ) \\ \\ \sf</p><p></p><p>980 - Cost \: price = 2Cost \: price - 1600 \\ \\ \sf</p><p></p><p>980 + 1600 = 2Cost \: price + Cost \: price \\ \\ \sf</p><p></p><p>2580 = 3Cost \: price \\ \\ \sf</p><p>Cost \: price = \frac{2580}{3} \\ \\ \sf</p><p>Cost \: price = 860$

$\therefore$ The required value of cost price is Rs 860