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.  Choose the correct choice:
A) Cost price of horse = Rs. 230 & the cost price of cart = 900.  B) Cost price of horse = Rs. 900 & the cost price of cart = 700.  C) Cost price of horse = Rs. 400 & the cost price of cart = 200.  D) Cost price of horse = Rs. 300 & the cost price of cart = 800.  E) Cost price of horse = Rs. 800 & the cost price of cart = 800.
Let x be the cost price of the horse and 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.   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   Answer:Cost price of horse = Rs. 400 &amp; the cost price of cart = 200.
<result>C</result>
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.