Multiple choice

What is the rate of interest per capita per annum? Statement I: Simple Interest accrued in two years on the same amount at the same rate of interest is Rs 44000. Statement II: The amount becomes Rs 154000 in two years on simple interest. Statement III: Difference between the compound interest and simple interest earned in two years on the amount invested is Rs 120.

  1. Only I and II

  2. Only II and III

  3. Only II

  4. Only I and III

  5. All of the above

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

Statements I and II together are sufficient. From I: SI for 2 years = Rs 44000, so annual SI = Rs 22000. From II: Amount after 2 years = Rs 154000, so Principal = 154000 - 44000 = Rs 110000. Rate = (22000/110000) × 100 = 20% per annum. Statement III is inconsistent with the calculated values - the difference between CI and SI for 2 years at 20% on Rs 110000 should be Rs 4400, not Rs 120.