The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A person borrowed some money at compound interest for 2 years. What will be the amount required to return after 2 years? I. If the amount was borrowed at simple interest, then after 4 years Rs. 1000 was required to pay as simple interest. II. The sum of money borrowed is 12 times the amount required to be paid as simple interest after 2 years. III. The rate of interest is 8% per annum.

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A person borrowed some money at compound interest for 2 years. What will be the amount required to return after 2 years? I. If the amount was borrowed at simple interest, then after 4 years Rs. 1000 was required to pay as simple interest. II. The sum of money borrowed is 12 times the amount required to be paid as simple interest after 2 years. III. The rate of interest is 8% per annum. Correct Answer I and II or III

From Statement I:

SI after 4 years is Rs. 1000

From Statement II:

P = 12 × (SI after 2 years)

⇒ P = 12 × (2PR/100)

⇒ R = 25/6 %

From statement I and II:

1000 = (P × 4 × 25) / (6 × 100)

⇒ P = Rs. 6000

Now, we have P = Rs. 6000, R = 25/6 % and T = 2 years

∴ Required answer can be calculated.

From statement III:

R = 8%

From statement I and III:

1000 = P × 8 × 4/100

⇒ P = Rs. 3125

Now, we have P = Rs. 3125, R = 8% and T = 2 years

∴ Required answer can be calculated.

∴ Statement I and statement II or III are sufficient to answer the question.

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