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DI: Revenues of Four Companies (2015-2019)

XAT 2020 · Quantitative Ability & Data Interpretation · Medium · Data Interpretation

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Passage / data set

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)

YearPQRS
2015150125150100
2016175140160120
2017200180180140
2018250210200170
2019250220240180

Question 1 of 3

Which of the given companies has seen the highest year-on-year growth (in percentage) in any single year during this five-year period?

  1. A.

    P

  2. B.

    There was a tie among multiple companies

  3. C.

    R

  4. D.

    Q

  5. E.

    S

Answer

D

Explanation

Calculating YoY growths: Q from 2016 to 2017: 180−140140=40140=28.57%\frac{180 - 140}{140} = \frac{40}{140} = 28.57\%. P from 2017 to 2018: 250−200200=25%\frac{250 - 200}{200} = 25\%. Checking other YoY growths, Q's 28.57%28.57\% in 2017 is the highest.

Question 2 of 3

It was discovered later that one of the companies misreported its revenue of one of the years. If the misreported revenue is replaced by the correct revenue, the revenues of that company over the five-year period will be in an arithmetic progression. The company that misreported its revenue was

  1. A.

    R or S

  2. B.

    S only

  3. C.

    P or R

  4. D.

    P or S

  5. E.

    P only

Answer

D

Explanation

For P: 150, 175, 200, (225 instead of 250), 250 forms an AP with common difference 25. For S: 100, 120, 140, (160 instead of 170), 180 forms an AP with common difference 20. Hence, either P or S could be the company that misreported.

Question 3 of 3

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 lakhs. Which of the following CANNOT be true?

  1. A.

    From 2014 to 2015, the increases in revenues of at least two companies were the same

  2. B.

    The revenue of Q in 2014 was the same as the revenue of R in 2014

  3. C.

    The company that experienced the 50% increase in revenue also experienced the maximum increase in revenue in absolute terms

  4. D.

    The 2014 revenues of P and R cannot be determined uniquely

  5. E.

    From 2014 to 2015, the revenues of P and R increased by different amounts

Answer

A

Explanation

If 3 companies grew by 25% and 1 by 50%: Revenues in 2015 are P=150, Q=125, R=150, S=100. If P grew by 50%, P_2014 = 100, increase = 50. For Q, R, S: Q_2014=100 (inc 25), R_2014=120 (inc 30), S_2014=80 (inc 20). Increases are 50, 25, 30, 20 (all distinct). If R grew by 50%, increases are 30, 25, 50, 20 (all distinct). In both valid scenarios, all 4 absolute increases are distinct. Thus A CANNOT be true.

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