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

Question

Question : The table given below shows the production of television and fridges by different companies.

Companies Television Fridge

P 80 100

Q 70 50

R 60 40

S 50 70

T 90 55

Which of the following statements is NOT correct?
I. The difference between the average production of television and fridge by R and the average production of television and fridge by S is 10.
II. The production of television and fridge by P is 20% of the production of television by T.
Option 1: Both I and II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Only II

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Answer 1

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.