Question

A man sold two cars at $₹99,000$ each. On one he gains $10\%$ and on the other he loses $10\%$. How much does he gain or lose in the whole transaction?

Answer 1

Given that

SP of each car is $₹99,000$

On one car he gains $10\%$

on other he loses $10\%$

On one car:

$$\begin{gathered} CP=\frac{SP\times 100}{(100+gain\%)} \\ CP=\frac{99000\times 100}{(100+10)} \\ CP=₹90,000 \end{gathered}$$

On other car:

$$\begin{gathered} CP=\frac{SP\times 100}{(100-loss\%)} \\ CP=\frac{99000\times 100}{(100-10)} \\ CP=₹1,10,000 \end{gathered}$$

Cost price of both cars

$$\begin{gathered} =₹(90,000+1,10,000) \\ =₹2,00,000 \end{gathered}$$

Selling Price of both cars

$$\begin{gathered} =₹(99,000+99,000) \\ =₹1,98,000 \\ Overall \\ Loss=CP-SP \\ =2,00,000-1,98,000 \\ =₹2,000 \end{gathered}$$

Hence he got a loss of $₹2,000$