Each of these questions consists of a problem followed by two statements numbered as I and II. Decide whether the data in the statements are sufficient to answer the question. Mark answer as
Company R's annual profit has increased by a constant amount each calendar year since 2009. What was Company R's annual profit in 2015?
I. In 2009, Company R's annual profit was ₹21200000; in 2013, Company R's annual profit was ₹24200000.
II. Company R's annual profit has increased by ₹750000 each year since 2009.
We are told that company R's annual profit has increased by a constant amount each calendar year since 2009. To figure out the annual profit of a company in 2015, we need the profit of company in some year and the constant amount by which the profits are increasing.
I. In 2009, Company R's annual profit was ₹21200000; in 2013, Company R's annual profit was ₹24200000.
We know the annual profit of company in 2009. And we also know the profit of company in 2013.
Because there is a constant increase over each year, the difference between the profits of the company in these two years will four time contant increase.
24200000 - 21200000 = 3000000
$$\frac{3000000}{4}=750000$$
The company's profits in 2015 = company's profits in 2013 + 2*the constant increase.
= 24200000 + 2*750000 = 25700000
So, we can get to the answer by just using statement 1.
II. Company R's annual profit has increased by ₹750000 each year since 2009.
Here, we only have increase in annual profit. But we don't have any information about the profits of company. So, this alone can't give the answer.
Hence, option A is correct.