Skip to main contentSkip to solution

The price relatives and weights of a set of commodities are given as:

CommodityABC
Price Relative150130180
Weightxx3x3xyy

If the sum of weights is 30 and the index for the set is 144, then the values of xx and yy are:

Solution

✅ Correct Option: 3

Sum of weights: x+3x+y=30x + 3x + y = 30, so 4x+y=304x + y = 30.

Index: 150x+130(3x)+180y30=144\frac{150x + 130(3x) + 180y}{30} = 144, giving 540x+180y=4320540x + 180y = 4320, i.e. 3x+y=243x + y = 24.

Subtracting: x=6x = 6, then y=6y = 6.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question