Question : The table given below shows the production of taxis by two companies ${J}$ and ${K}$ in 5 years.
| Years | Companies | |
| J | K | |
| P | 90 | 55 |
| Q | 70 | 60 |
| R | 50 | 90 |
| S | 45 | 80 |
| T | 40 | 65 |
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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