Question : The table given below shows the production of taxis by two companies ${J}$ and ${K}$ in 5 years.
Which of the following statements is NOT correct? I. The difference between the total production of taxis by ${J}$ and ${K}$ in all years is 35. II. The production of taxies by $J$ in year $P$ and $Q$ together is 92.11% of the production of taxies by $K$ in years $R$ and $S$ together.
Option 1: Only II
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only I
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Correct Answer: Both I and II
Solution : I. Total production of taxi by ${J}$ = 90 + 70 + 50 + 45 + 40 = 295 Total production of taxi by ${K}$ = 55 + 60 + 90 + 80 + 65 = 350 The difference between the total production of taxi by ${J}$ and ${K}$ in all years = 350 – 295 = 55 The given value is 35. Thus this statement is NOT correct. II. The production of the taxi by $J$ in year $P$ and $Q$ together = 90 + 70 = 160 The production of the taxi by $K$ in year $R$ and $S$ together = 90 + 80 = 170 Required percentage = $\frac{\text{J in year P and Q}}{\text{K in year R and S}}\times 100$ = $\frac{160}{170}\times 100$ = 94.11% The given value is 92.11%. Thus this statement is NOT correct. Hence, the correct answer is Both I and II.
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