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

Hi friend,

Let X be the cost of horse

Y be the cost of the cart.
            
                        According to question,
10% of loss in selling horse = 20% of gain in selling the cart.

  => (10/100)*X = (20*100)*Y
 
=> X = 2y --------------(1)

Also,
5% of loss in selling horse is 10 more than the 5% gain in selling the cart.
=> (5/100) *X – 10 = (5/100) *Y
=> 5X – 1000 = 5Y
=> 10Y – 1000 = 5Y                               (Using equation 1)
=> 5Y = 1000
=> Y =200.

=> X = 2Y = 2*200 = 400.

Hence,
CP of Horse = Rs. 400.
CP of the Cart = Rs. 200.

Hope it helps!