📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    ⚡ Month End Offer - Flat 52% Off On All Courses! Enroll Now ⚡
    00:00:00 AM Left

    Question

    At the rate of any compound interest rate, it gets

    tripled in 4 years, in how many years it will become 729 times its own?
    A 28 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 32 Correct Answer Incorrect Answer

    Solution

    Let the principal be Rs. x, then Amount = 3x As we know, A = P (1+r/100)t 3x = x (1 + r/100)4 (1+r/100) = 4√3        ...i) Again, A = 729x, P = x 729x = x (1 + r/100)t (1+r/100) = t√729     ...ii) From equation (i) 4 √3= t√729 31/4 = 36/t Compare on powers. 1/4 = 6/t t = 24 years Smart Approach-        In 4th year = 3 times.   After T years =729=36 T=4×6=24 years.

    Practice Next
    More Simple and compound interest Questions
    ask-question