Multiple choice

Find the principle amount of which the interest of $6$ months is $Rs.960$ , at the rate of $7.5 \%$.

  1. $P=Rs.25,600$
  2. $P=Rs.35,600$
  3. $P=Rs.45,600$
  4. $P=Rs.55,600$
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A Correct answer
Explanation

For 6 months, the simple interest is P × 7.5/100 × 1/2. Setting this equal to Rs. 960 gives P × 0.0375 = 960, so P = Rs. 25,600.

AI explanation

The time is 6 months, which equals 0.5 years. Using the principal formula P = (SI × 100) / (R × T), we calculate P = (960 × 100) / (7.5 × 0.5) = 96000 / 3.75 = 25600. The principal amount is Rs. 25,600.

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