Xavier Aptitude Test 2020 Paper

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Instructions [56 - 58 ]
Read the information given below and answer the 3 associated questions.
During 2015-2019, the revenues of four companies P-S were as follows:

Revenue (in Rs. Lakhs)
Year	P	Q	R	S
2015	150	125	150	100
2016	175	140	160	120
2017	200	180	180	140
2018	250	210	200	170
2019	250	220	240	180

Question : 58 of 100

Marks: +1, -0

During the period from $2014$ to $2015$ , the revenue increased by $25%$ for three of the companies and by $50%$ for the remaining company. The total increase in revenue, for all four companies put together, was $\Rs 125 \lakh$ . Which of the following CANNOT be true?

From $2014$ to $2015$ , the increases in revenues of at least two companies were the same
The revenue of $\Q$ in $2014$ was the same as the revenue of $\R$ in $2014$
The company that experienced the $50%$ increase in revenue also experienced the maximum increase in revenue in absolute terms
The $2014$ revenues of $\P$ and $\R$ cannot be determined uniquely
From $2014$ to $2015$ , the revenues of $\P$ and $\R$ increased by different amounts

Validate

Solution:

Let us first compute the individual changes in value in both years before zeroing in on the companies that fall into the 25% increase and 50% increase groups.

For 25% Increase
Company	2015	2014	Increase
P	150	120	30
Q	125	100	25
R	150	120	30
S	100	80	20

For 50% Increase
Company	2015	2014	Increase
P	150	100	50
Q	125	83.33	16.67
R	150	100	50
S	100	66.67	33.33

We can move forth with the assumption that

\P

saw a

50%

increase while the rest of the companies saw a

25%

increase. In this case, the total increase in revenue, for all four companies put together, will be

\Rs 125 \lakhs

. Same is the case when we consider company

\R

to have seen a

50%

increase, while the rest had a

25%

increase. Hence,

\Option \D

is true We observe that

\Options \B, \C

and

\E

hold true as well. The increase observed for each of the companies is distinct, based on the given condition. Thus,

\Option \A

cannot be true.

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