Multiple choice

Jigneshbhai has two sisters Shantiben and Kantiben. He gives a certain amount to both of them. Shantiben deposits her amount in Bank A at the rate of 13.5% per annum for 4 years and Kantiben deposits her share in Bank B at the rate of 14.5% per annum for 3 years. Find the total money they have at the end of 4 years, if interests earned by them are Rs. 11,988 and Rs. 13,920, respectively.

  1. Rs. 82,408

  2. Rs. 86,308

  3. Rs. 80,162

  4. Rs. 80,108

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Interest = (P * R * T) / 100. For Shantiben: 11988 = (P1 * 13.5 * 4) / 100 => P1 = 22200. For Kantiben: 13920 = (P2 * 14.5 * 3) / 100 => P2 = 32000. Total money = (P1 + 11988) + (P2 + 13920) = 34188 + 45920 = 80108.

AI explanation

Using the Simple Interest formula P = (SI x 100)/(R x T), Shantiben's principal is (11988 x 100)/(13.5 x 4) = Rs. 22,200. Kantiben's principal is (13920 x 100)/(14.5 x 3), which calculates to Rs. 32,000. The total money they have at the end of the period is the sum of their principals and interests: (22200 + 11988) + (32000 + 13920) = Rs. 80,108.

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