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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


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

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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