Question : The table given below shows the income of two companies P and Q in seven years.
| Years | P | Q |
| Y1 | 200 | 250 |
| Y2 | 350 | 150 |
| Y3 | 500 | 650 |
| Y4 | 650 | 450 |
| Y5 | 600 | 550 |
| Y6 | 450 | 700 |
| Y7 | 400 | 500 |
Which of the following statements is not correct?
I. The income of P in year Y1 is 20 percent less than the income of Q in the year Y1.
II. The ratio of the total income of P to the total income of Q in all years is 63 : 64.
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: Neither I nor II
Correct Answer: Only II
Solution :
I.
The income of P in year Y1 is 200 and the income of Q in year Y1 is 250.
So, the income of P is indeed 20 percent less than the income of Q in year Y1.
$\therefore$ Statement I is correct.
II.
The total income of P over all years is 200 + 350 + 500 + 650 + 600 + 450 + 400 = 3150.
The total income of Q over all years is 250 + 150 + 650 + 450 + 550 + 700 + 500 = 3250.
So, the ratio of the total income of P to the total income of Q in all years is 3150 : 3250 = 63 : 65, not 63 : 64.
$\therefore$ statement II is not correct.
Hence, the correct answer is Only II.
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