CAT 1993DILR Question 15

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Passage / Data

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

Which company had the lowest profits?

Answer & solution

  • ANT

  • B

    BAT

  • C

    CAT

  • D

    DAT

Solution

Let the profits of CAT and DAT be x, Sales of CAT and BAT be y and sales of ANT be z. So we have

​​​​​​​​​​​​​​

Now, it is said that the total expenses of CAT were Rs.10 lakhs. Thus, 5x = Rs.10 lakhs or x = Rs.2 lakhs. Also, total expenses of ANT were 10% less than those of CAT = Rs.9 lakhs. Hence, 0.9z = 9 lakhs or z = 10 lakhs. Finally, in case of CAT, since Sales – Expenditure = Profit, Sales = Expenditure + Profit = 6x = 12 lakhs, y = 12 lakhs.
Our final table will become:

​​​​​​​​​​​​​​​​​​​​​

ANT had lowest profits i.e., Rs.1 lakh. 

CAT 1993 DILR Q15: Which company had the lowest profits? — Solution | TheCATExam