Question

A person named 'P' invested Rs. 48,000 in an SIP called 'X', which provides compound interest at a rate of 50% per annum, compounded half-yearly, for a duration of 12 months. Afterward, he reinvested the interest earned from SIP 'X' into another SIP, 'Y', which offers compound interest at an annual rate of 'a%', compounded annually, for 3 years. By following this investment strategy, he accumulated a total interest of Rs. 46,656 over 4 years. The expression (1.3a - 2) represents the root of which of the following equations?

Q: Answer-A person named 'P' invested Rs. 48,000 in an SIP called 'X', which provides compound interest at a r...

ATQ, Interest from scheme P 48000 1.252- 1 48000 0.5625 27000 Rs. Interest from scheme Q 46656 - 27000 19656 Rs. 27000 1 a1003- 1 19656 1 a1003- 1 0.728 1 a1003 1.728 1.23 1 a100 1.2 a 20 1 root of equation 1.3a - 2 1.3 20 - 2 26 - 2 24 Option I, Second root 41 - 24 17, Product of Roots 24 17 408 Wrong Option II, Second root 51 - 24 27, Product of Roots 24 27 648 Wrong Option III, Second root 61 - 24 37, Product of Roots 24 37 888 Right Option IV, Second root 71 - 24 47, Product of Roots 24 47 1128 Wrong Hence, the equation will be b2 - 61b 888 0