The prices and quantities of some commodities are given below :
| Commodities | Prices in (₹) | Quantities | ||
| $p_0$ | $p_1$ | $q_0$ | $q_1$ | |
| A | 140 | 180 | 10 | 12 |
| B | 400 | 550 | 7 | 8 |
| C | x | 250 | 6 | 8 |
| D | 125 | y | 8 | 11 |
| E | 200 | 300 | 4 | 6 |
Given that $∑p_0q_0= 6600, $ and $∑p_1q_1=12-10.$ Based on the above information the value of x is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 100
$∑p_0q_0= 6600$
$140(10)+400(7)+x(6)+125(8)+200(4)=6600$
$⇒6000+6x=6600$
$⇒6x=600$
$⇒x=100$