Question : The table given below shows the demand and production of five articles.
| Articles | Demand | Production |
| P | 400 | 500 |
| Q | 450 | 650 |
| R | 250 | 550 |
| S | 150 | 850 |
| T | 850 | 1050 |
Which of the following statements is correct?
I. The value of the average demand of all articles is 420.
II. The production of P and Q together is 52.60 percent of the production of S and T together.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Both I and II
Option 4: Only I
Correct Answer: Only I
Solution :
Statement I
= Average of all demands = 420
⇒ Sum of demands = 400 + 450 + 250 + 150 + 850 = 2100
$\therefore$ Average = $\frac{2100}{5}$ = 420
$\therefore$ Statement I is correct.
Statement II
= The production of P and Q together is 52.60 percent of the production of S and T together.
⇒ Production of P and Q together = 500 + 650 = 1150
⇒ Production of S and T together = 850 + 1050 = 1900
$\therefore$ Percentage = $\frac{1150}{1900}\times100=60.5\%$
$\therefore$ Statement II is incorrect
Hence, the correct answer is Only I.
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