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Directions: Below question is followed by two statements I and II. 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.Find the percentage savings of his savings.Statement I: Ajay has a monthly salary of Rs.45000. Statement II: He spends 70% of his salary. When his salary increased by 25%, he increases his spending by 10%.1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 2 : If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Given: Statement I: Ajay’s salary = Rs.45000 Statement II: Ajay’s expenditure = 70% Ajay’s salary raise = 25% Ajay’s expenditure increase = 10% Concept used: Income = Expenditure + Savings Calculations: Statement I: Since the percentage change is required then salary is insignificant and the salary could also be assumed accordingly. Statement II: Let Ajay’s salary be Rs.100 Ajay’s savings = Salary – Expenditure = Rs.30 A’s salary after raise = 100 + 25 × 100/100 ⇒ Rs.125 Ajay’s expenditure after increase = 70 + 10 × 70/100 = Rs.77 Ajay’s new savings = 125 – 77 = Rs.48 Ajay’s savings % change = (48 – 30) × 100/30 ⇒ 60% The amount of salary was not used in calculation and the percentage change can easily be determined with the help of statement II. ∴ If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. |
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