Question

A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose rs. 10 in the bargain. The amount paid by him was rs._______ for the horse and rs.________ for the cart.

Answer 1

The amount paid by him was Rs. 400 for the horse and Rs. 200 for the cart.

Step-by-step explanation:

Let’s assume that the cost of the horse be Rs. “x” and the cost of the cart be Rs. “y” .

           

According to the first case of the question, we have

10% of loss in selling the horse = 20% of gain in selling the cart

⇒ $\frac{10}{100}$ * x = $\frac{20}{100}$ * y

⇒ x = 2y …….. (i)

Also, according to the second case of the question, we have  

5% of loss in selling horse is Rs. 10 more than the 5% gain in selling the cart

⇒ [$\frac{5}{100}$ * x] – 10 =  [$\frac{5}{100}$ * y ]

⇒ 5x – 1000 = 5y

⇒ 10y – 1000 = 5y …… [substituting from (i)]                

⇒ 5y = 1000

⇒ y =200

Now, substituting the value of y in eq. (i), we get

x = 2y

⇒ x = 2*200

⇒ x = 400

Thus, the CP of the Horse is Rs. 400 and the CP of the Cart is Rs. 200.

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