The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the value of A? I) The compound interest earned by investing Rs. A at 10% rate of interest for a year compounded annually is Rs. 600. II) Rs. A when invested at simple interest at some rate of interest for 4 years earns a profit of Rs. 4800. III) Rs. A invested in simple interest at a rate of 20% for 3 years and interest got after 3 years is Rs. 600 more than half of Rs.A.
The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the value of A? I) The compound interest earned by investing Rs. A at 10% rate of interest for a year compounded annually is Rs. 600. II) Rs. A when invested at simple interest at some rate of interest for 4 years earns a profit of Rs. 4800. III) Rs. A invested in simple interest at a rate of 20% for 3 years and interest got after 3 years is Rs. 600 more than half of Rs.A. Correct Answer Either I or III
Formula:
Let P = principal, R = rate of interest and N = time
Simple Interest = PNR/100
Compound interest = P(1 + R/100)n – P
From statement I:
600 = A(1 + 10/100) – A
⇒ A = Rs. 6000
From statement II:
Rate of interest is not given.
From statement III:
⇒ 600 + A/2 = A × 20 × 3/100
⇒ A = Rs. 6000
∴ Either statement I or III only is sufficient to answer.