Multiple choice

Ayush divided 2189 in three parts such that interest on them after 1, 2, 3 years respectively may be equal. The rate of SI is 4% per annum in all case. What is the smallest part of the three part?

  1. a) 702

  2. b) 398

  3. c) 425

  4. d) 756

  5. e) 1093
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For equal simple interest over 1, 2, and 3 years, the parts must be proportional to 1, 1/2, and 1/3, or 6:3:2. Since 2189/11 = 199, the parts are 1194, 597, and 398. The smallest part is 398.

AI explanation

Using the simple interest formula, the interest for each part is equal, meaning 4 multiplied by Part 1 divided by 100 equals 4 multiplied by 2 multiplied by Part 2 divided by 100 equals 4 multiplied by 3 multiplied by Part 3 divided by 100. This establishes the ratio of the three parts as 6 to 3 to 2, giving a total of 11 parts. Dividing the total sum of 2189 by 11 gives the value of one part as 199, and multiplying by 2 gives the smallest part of 398.

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