Each question below is followed by three statements I, II and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. How much profit did the company earn in the year 2017? Statement I: The company earns 1/3 more profit in the year 2017 than that in the year 2016. Statement II: The average profit earned by the company in the year 2016 and 2018 together is 15 crores. Statement III: In the year 2017 the company earned 8/9 of the profit earned in the year 2018.
Each question below is followed by three statements I, II and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. How much profit did the company earn in the year 2017? Statement I: The company earns 1/3 more profit in the year 2017 than that in the year 2016. Statement II: The average profit earned by the company in the year 2016 and 2018 together is 15 crores. Statement III: In the year 2017 the company earned 8/9 of the profit earned in the year 2018. Correct Answer If the data in statement I, II and<strong> </strong>III together are sufficient to answer the question.
Calculation:
From statement I
The profit of the company in the year 2016 is not given. We cannot determine the profit earned by the company in the year 2017.
So, the Statement I alone is not sufficient to answer the question.
From statement II
Total profit earned by the company in the year 2016 and the year 2018 together = 15 × 2
⇒ 30 crores
We cannot determine the profit earned by the company in the year 2017.
So, the statement II alone is not sufficient to answer the question
From statement III
The profit of the company in the year 2018 is not given. We cannot determine the profit earned by the company in the year 2017.
So, the statement III alone is not sufficient to answer the question.
From statement I, statement II and statement III together
Let the profit earned by company in year 2016 be Rs. x crores. Then the profit earned by company in year 2018 is Rs. 30 – x crores
Then, x × {(1 + 3)/3} = (30 – x) × (8/9)
⇒ 4x/3 = (80/3) – (8x/9)
⇒ (4x/3) + (8x/9) = (80/3)
⇒ {(12x + 8x)/9} = (80/3)
⇒ {20x/9} = (80/3)
⇒ x = (80 × 9)/(20 × 3)
⇒ x = 720/60
⇒ x = 12
Profit earned by company in year 2016 = 12 crore
Profit earned by company in year 2017 = 12 × (4/3)
⇒ 48/3
⇒ 16 crore
So, statement I, statement II and statement III together are sufficient to answer the question.
∴ Statement I, II and III together are sufficient to answer the question.