Multiple choice

Rividha Enterprises gives an increasing dividend each year for holding its shares. If the dividend is compounded annually at the rate of 5%, 6% and 7% for 1st, 2nd and 3rd years, then what sum (principal) will amount to Rs. 5,87,945 at compound interest in 3 years?

  1. Rs. 5,03,694

  2. Rs. 4,94,694

  3. Rs. 4,93,794

  4. Rs. 4,93,694

  5. Na

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Amount = P * (1 + r1/100) * (1 + r2/100) * (1 + r3/100). 587945 = P * (1.05) * (1.06) * (1.07) = P * 1.19181. P = 587945 / 1.19181 = 493321. The closest option is 493694.

AI explanation

Using the successive percentage change formula, the total amount equals Principal times 1.05 times 1.06 times 1.07. We set this equal to 587945, so the principal is 587945 divided by the product of 1.05, 1.06, and 1.07. Calculating this gives 587945 divided by 1.19091, which means the original sum is Rs. 4,93,694.