Multiple choice

At which sum will the simple interest at the rate of $3\dfrac { 3 }{ 4 } \%$ per annum be Rs. $210$ in $2\dfrac { 1 }{ 3 } $ years?

  1. Rs. $1580$
  2. Rs. $2400$
  3. Rs. $2800$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

SI = 210, R = 15/4%, T = 7/3 years. 210 = P * (15/4) * (7/3) / 100. 210 = P * (105/12) / 100. 210 = P * 35 / 400. P = 210 * 400 / 35 = 6 * 400 = 2400.

AI explanation

Using the Simple Interest formula SI equals P times R times T divided by 100, we substitute the given values: 210 equals P times 15 divided by 4 times 7 divided by 3 divided by 100. This simplifies to 210 equals P times 35 divided by 400, making P equal to 210 times 400 divided by 35, which is Rs. 2400.

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