Multiple choice

Find the simple interest (in Rs.) in all the three cases, if (i) P = Rs. 2500, R = 15% per annum and T = 4 years (ii) P = Rs. 800, R = 9% per annum and T = 4 months (iii) P = Rs. 3000, R = 6% per six months and T = 6 years

  1. 1500, 24, 2160

  2. 1500, 24, 2170

  3. 1500, 20, 2170

  4. 1515, 24, 2160

  5. 1200, 25, 2000
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A Correct answer
Explanation

(i) SI = (2500 * 15 * 4) / 100 = 1500. (ii) SI = (800 * 9 * (4/12)) / 100 = 24. (iii) SI = (3000 * 12 * 6) / 100 = 2160. Note: 6% per six months is 12% per annum.

AI explanation

Using the simple interest formula where simple interest equals principal multiplied by rate multiplied by time divided by 100, the first case yields 2500 multiplied by 15 multiplied by 4 divided by 100, giving Rs. 1500. For the second case, the time is 4 divided by 12 years, so 800 multiplied by 9 multiplied by 4 divided by 1200 gives Rs. 24. For the third case, the rate per half year means 6 percent applied for 12 half-yearly periods in 6 years, so 3000 multiplied by 6 multiplied by 12 divided by 100 gives Rs. 2160. The interests are Rs. 1500, Rs. 24, and Rs. 2160.

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