The ratio of monthly incomes of Ananya to Shaila is 5 6 and the ratio of their monthly savings is 2 ...........

Quantitative Aptitude(IBPS CL) Data Sufficiency

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

The ratio of monthly incomes of Ananya to Shaila is 5 : 6 and the ratio of their monthly savings is 2 : 3.

What is the monthly expenditure of Shaila?

Statement I: The ratio of monthly income and monthly savings of Ananya is 5 : 2 respectively.

Statement II: The monthly expenditure of Ananya and Shaila is equal.

The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

The data either in statement I alone or in statement II alone is sufficient to answer the question

The data given in both statements I and II together are not sufficient to answer the question

The data given in both statements I and II together are necessary to answer the question.

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Explanation:

Let the monthly income of Ananya be Rs. 5x.
Monthly income of Shaila = Rs. 6x
Monthly saving of Ananya = Rs. 2y
Monthly saving of Shaila = Rs. 3y
Statement I:

⇒ x = y
Statement I alone is not sufficient to answer the question.
Statement II:
5x – 2y = 6x – 3y
⇒ x = y
Statement I alone is not sufficient to answer the question.
Both statement I and II:
In both the statements, same equation came.
Both Statements I and II together are not sufficient to answer the question.