Multiple choice

Veer invested 1/3 rd of his total investment at 5% and 1/5 th at 4% and rest of money at 3% per annum simple interest for the one year and received total interest of Rs 290. find the total sum invested by Veer?

  1. (a) Rs.15000

  2. (b) Rs.7500

  3. (c) Rs.10000

  4. (d) Rs.12000

  5. (e) Rs.18000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total sum be S. Interest = (S/3 * 0.05) + (S/5 * 0.04) + (7S/15 * 0.03) = 290. (S/15 * 0.25) + (S/15 * 0.12) + (S/15 * 0.21) = 290. (0.58 * S) / 15 = 290. S = (290 * 15) / 0.58 = 4350 / 0.58 = 7500.

AI explanation

Let the total investment be P; the fractions invested are 1/3 at 5%, 1/5 at 4%, and the remaining 7/15 at 3%. The total interest equation for one year is (5% of P/3) plus (4% of P/5) plus (3% of 7P/15) equals 290. This simplifies to 0.058P equals 290, so P equals 290 divided by 0.058, resulting in a total sum of Rs. 7500.

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