Quantitative Aptitude Question No.2

Quantitative Aptitude Question No.2

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

Answer
Cost price of horse = Rs. 400 & the cost price of cart = 200.
Explanation-
Let x be the cost price of the horse & y be the cost price of the cart.
In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain.
Therefore (10/100) * x = (20/100) * y
X = 2 * y -----------------(1)
In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.
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Therefore (5 / 100) * x = (5 / 100) * y + 10 -------(2)
Substituting (1) in (2) we get
(10 / 100) * y = (5 / 100) * y + 10
(5 / 100) * y = 10
y = 200
From (1) 2 * 200 = x = 400