Question : The table given below shows the income of two companies P and Q in seven years.
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
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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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