Multiple choice

If the simple interest on $3000$ rupees is $600$ rupees at a certain rate for a certain number of years, what would the interest be on $1500$ rupees under the same condition?

  1. $300\ rupees$
  2. $1000\ rupees$
  3. $700\ rupees$
  4. $500\ rupees$
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A Correct answer
Explanation

Simple interest is directly proportional to the principal amount when the rate and time are constant. If the principal is halved (from 3000 to 1500), the interest is also halved (from 600 to 300).

AI explanation

Simple interest is directly proportional to the principal amount when the time period and rate of interest remain constant. The principal is reduced from 3000 rupees to 1500 rupees, which is exactly half of the original amount. Therefore, the new interest earned will also be half of the original 600 rupees, which equals 300 rupees. The result is 300 rupees.