The index number for the following data, for the year 2011, taking 2010 as base year was found to be 116. The simple aggregate method was used fr calculation. Find the numerical values of x and y if the sum of the prices in the year 2011 is ₹203.
| Commodity | Price in ₹ in the year 2010 | Prices in ₹ in the year 2011 |
| A | 20 | 25 |
| B | 10 | 30 |
| C | 30 | 15 |
| D | 25 | 45 |
| E | x | 35 |
| F | 50 | y |
Answer & explanation
Correct answer: option 1
The correct answer is option (1) : 40
$∑p_0= 20+10+30+25+x+50$
$∑p_0=135+x$
Given $∑p_1=203= 25+30+15+45+35+y$
$y = 53 $
Given $\frac{∑p_1}{∑p_0}×100= 116$
$\frac{203}{135+x}×100=116$
$x= 40$