Multiple choice

If a certain sum of money amounts to $Rs.\ 1760$ in two years and $Rs.\ 2000$ in $5$ years at simple interest, then the sum is:

  1. $Rs.\ 1960$
  2. $Rs.\ 1590$
  3. $Rs.\ 1600$

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

Interest for 3 years (5-2) = 2000 - 1760 = 240. Interest for 1 year = 80. Interest for 2 years = 160. Principal = 1760 - 160 = 1600.

AI explanation

The interest for 3 years is the difference between the amounts for 5 years and 2 years, giving Rs. 2000 minus Rs. 1760 equals Rs. 240. This means the interest for 1 year is Rs. 240 divided by 3, which is Rs. 80, making the interest for the first 2 years Rs. 160. Using the simple interest formula, the principal is the amount after 2 years minus the 2-year interest, so Rs. 1760 minus Rs. 160 equals Rs. 1600.

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