Question

A man bought a house and a cart. If he sells the house at 10% loss and cart at 20% gain, he will not lose anything. But, if he sells the house at 5% loss and cart at 5% gain he would lose Rs. 100. The amount paid by him for the house and cart will be?
1. Rs. 2000 and Rs. 4000
2. Rs. 400 and Rs. 200
3. Rs. 200 and Rs. 400
4. Rs. 4000 and Rs. 2000

Answer 1

Correct Answer - Option 4 : Rs. 4000 and Rs. 2000

Explanation:

Let, The cost price of house = x

The cost price of cart = y 

Now,  If he sells the house at 10% loss, then the Selling price = 0.9x

& cart at 20% gain, then selling price = 1.2y

According to the Question 

0.9x + 1.2y = x + y ...(i)

But, if he sells the house at 5% loss, then the Selling price = 0.95x

& cart at 5% gain, then selling price = 1.05y

then he would lose Rs. 100

∴ 0.95x + 1.05y = x + y - 100 ...(ii)

Instead of solving these equations just put the value of options in a given equation and see which options satisfy the equation here option 'd' satisfy the equations.