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Each question below is followed by two 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. The ratio of the salary of Mohit and Rohit is 3 : 4. What is the sum of their savings? Statement I: Rohit saves 20% of his salary. Statement II: Saving of Mohit is Rs. 2000. Statement III: Ratio of their expenditure is 5 : 6

Each question below is followed by two 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. The ratio of the salary of Mohit and Rohit is 3 : 4. What is the sum of their savings? Statement I: Rohit saves 20% of his salary. Statement II: Saving of Mohit is Rs. 2000. Statement III: Ratio of their expenditure is 5 : 6 Correct Answer If data in statement I, II and III together are sufficient to answer the question.

Calculation:

Let the salary of Mohit and Rohit be Rs. 3x and Rs. 4x respectively.

From statement I

Saving of Mohit is not given. We cannot determine the ratio of saving of Mohit and Rohit.

So, the Statement I alone is not sufficient to answer the question.

From statement II

Saving of Rohit is not given. We cannot determine the ratio of saving of Mohit and Rohit.

So, the statement II alone is not sufficient to answer the question

From statement III

Saving of Rohit and Mohit is not given. We cannot determine the ratio of saving of Mohit and Rohit.

So, the statement III alone is not sufficient to answer the question.

From statement I, statement II and statement III together

Let the expenditure of Mahit and Rohit be Rs 5y and 6y respectively.

Then, 4x – 6y = 4x × (20/100)

⇒ 4x – 6y = 4x/5

⇒ 20x – 30y = 4x

⇒ 20x – 4x = 30y

⇒ 16x = 30y

⇒ y = 8x/15

Saving of Mohit = 3x – 5(8x/15) = 2000

⇒ 3x – (40x/15) = 2000

⇒ 45x – 40x = 30000

⇒ 5x = 30000

⇒ x = 6000

Salary of Mohit = 3 × 6000

⇒ 18000

Salary of Rohit = 4 × 6000

⇒ 24000

Saving of Mohit = 2000

Saving of Rohit = 24000 × (20/100)

⇒ 4800

Sum of saving of Mohit and Rohit = 2000 + 4800

⇒ 6800

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.

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