The index number of the year 2021, taking 2016 as base year for the following data was found to be 130.
| Commodities | A | B | C | D | E | F |
| prices $P_0$ (in Rs.) in 2016 | 60 | 40 | 50 | x | 70 | 100 |
| prices $P_1$ (in Rs.) n 2021 | 65 | 50 | 60 | 90 | y | 120 |
If $∑P_0=380,$ then the missing entries in the data are :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $x=60, y=109$
Index number = $\frac{∑P_1}{∑P_0}×100$
$⇒130=\frac{∑P_1}{380}×100$
$⇒∑P_1=494,∑P_0=380$
from the given data,
$60+40+50+x+70+100=380$
$x=380-320=60$
and,
$65+50+60+90+y+120=494$
$⇒y=494-385=109$