Multiple choice

Rashimi lent $Rs.600$ to Geeta for $2$ yr and $Rs.150$ to seeta for $4$ yr at same rate of interest and received altogether $Rs.80$ as sample interest from both. Find the rate of interest.

  1. $3\dfrac {4}{9}\%$
  2. $2\dfrac {4}{9}\%$
  3. $5\dfrac {4}{9}\%$
  4. $4\dfrac {4}{9}\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The simple interest from Geeta is (600 * 2 * R) / 100 = 12R, and from Seeta is (150 * 4 * R) / 100 = 6R. The total interest received is 12R + 6R = 18R = 80, which gives R = 80 / 18 = 4 4/9%.

AI explanation

Using the simple interest formula, the total interest is the sum of the interest from both loans, giving the equation (600 * R * 2) / 100 + (150 * R * 4) / 100 = 80. Simplifying this yields 12R + 6R = 80, or 18R = 80. Solving for R gives the rate of interest as 80/18 percent, which equals 4 4/9%.

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