Question

A horse and a cart together cost rupees 1600. If the cost of the cart is one- third the cost of the horse, find the cost of the cart and horse seprately.

Answer 1

let the cost of horse be rs x and the cost of cart be rs y
now,
x + y = 1600 ........(1)
also,
y= 1/3 * x
put the above value in (1), we get
x + 1/3 * x = 1600
3x + x = 1600 * 3
4x = 4800
x = Rs 1200
now, y= 1/3 * 1200= Rs 400

Answer 2

x+y=1600
x/3=y
x+x/3=1600
4x/3=1600
4x=4800
x=1200

x/3=y
1200/3=y
y=400