Question

A person purchase a horse and cart. He sold cart at 10% loss and horse at 20%gain he will not lose anything. If he loss 5% on cart and gain 5% on horse then he gain 10 %.find the initial rate of horse and cart.

Answer 1

Let X be the cost of horse and Y be the cost of the cart.
10% of loss in selling horse = 20% of gain in selling the cart.
Therefore, (10/100)*X = (20*100)*Y
Or, X = 2y --------------(1)
5% of loss in selling horse is 10 more than the 5% gain in selling the cart.
Therefore, (5/100) *X – 10 = (5/100) *Y
=> 5X – 1000 = 5Y
Using equation (1),
=> 10Y – 1000 = 5Y
=> 5Y = 1000
=> Y =200.
=> X = 400.
CP of Horse = Rs. 400.
CP of the Cart = Rs. 200.