Multiple choice

For higher education, Trusha borrows Rs. $9600$ from the post-office for $2\dfrac{1}{2}$ years at the rate of $ 9\%$. How much interest and amount would she pay back at the end of the term ?

  1. Interest $=$ Rs. $1050$, Amount $=$ Rs. $10,650$
  2. Interest $=$ Rs. $2160$, Amount $=$ Rs. $11,760$
  3. Interest $=$ Rs. $2760$, Amount $=$ Rs. $12,360$
  4. Interest $=$ Rs. $4720$, Amount $=$ Rs. $14,320$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Principal = 9600, Time = 2.5 years, Rate = 9%. Simple Interest = (P * R * T) / 100 = (9600 * 9 * 2.5) / 100 = 96 * 22.5 = 2160. Amount = 9600 + 2160 = 11760.

AI explanation

Convert 2 and a half years to 5/2 years and apply the simple interest formula, giving I = (9600 * 9 * 5/2) / 100. This calculation yields an interest of Rs.2160. The total amount to be paid back is the principal plus the interest, so 9600 + 2160 = Rs.11,760.