Multiple choice

The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Calculate the rate of interest (i) An amount of Rs. 864 is obtained at the principal of Rs. 800 at SI. (ii) An amount of Rs. 176 is obtained after 19 years when Rs. 100 is submitted at SI.

  1. Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions.

  2. Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

  4. Either statement I or statement II by itself is sufficient to answer the question.

  5. Statements I and II taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: SI = 864 - 800 = 64. P=800, SI=64. Rate = (64*100)/(800*T). T is unknown, so I is insufficient. Statement II: SI = 176, P=100, T=19. Rate = (176*100)/(100*19) = 176/19. This is sufficient.

AI explanation

Statement I provides the simple interest earned as 64 but lacks the time period, making it impossible to calculate the unique rate. Statement II provides both the interest of 76 and the exact time frame of 19 years, allowing you to use the simple interest formula to find the rate as 76 multiplied by 100 divided by 100 multiplied by 19, which equals 4 percent. Therefore, only the second statement independently provides all necessary variables to solve for the rate of interest.

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