Question

a cow and horse bought at 200000.cow sold at profit 20% and horse at loss 10%.ovaerall gain 4000.what is cost price of cow

Answer 1

CP of cow and horse =2,00,000
Gain=4,000
SP of cow and horse=2,00,000+4,000
=2,04,000
Gain %=4,000/2,00,000×100=0.5%

Answer 2

Answer:  The cost price of cow is 80000.

Step-by-step explanation:  Given that a cow and a horse bought at 200000. Cow sold at profit 20% and horse at loss 10%. Overall gain is 4000.

We are to find the cost price of cow.

Let x and y represents the cost price of cow and horse respectively.

Then, according to the given information, we have

$x+y=200000\\\\\Rightarrow y=200000-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$20\%\times x-10\%\times y=4000\\\\\\\Rightarrow \dfrac{20}{100}\times x-\dfrac{10}{100}\times y=4000\\\\\\\Rightarrow \dfrac{x}{5}-\dfrac{y}{10}=4000\\\\\Rightarrow 2x-y=40000\\\\\Rightarrow 2x-(200000-x)=40000~~~~~~~~~~~~~~~~~~~~~~[\textup{using equation (i)}]\\\\\Rightarrow 2x-200000+x=40000\\\\\Rightarrow 3x=240000\\\\\Rightarrow x=\dfrac{240000}{3}\\\\\Rightarrow x=80000.$

Thus, the cost price of cow is 80000.