Multiple choice

Priya divided her total investment into two parts. The simple interest earned on the first part at 18% per annum for 5 years is equal to the simple interest earned on the second part at 15% per annum for 4 years. What percentage of the total amount did Priya invest in the first part?

  1. 30%

  2. 35%

  3. 40%

  4. 45%

  5. 60%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let parts be P1 and P2. (P1 * 18 * 5) / 100 = (P2 * 15 * 4) / 100. 90*P1 = 60*P2. P1/P2 = 60/90 = 2/3. P1 is 2/(2+3) = 2/5 = 40% of total.

AI explanation

Let the first and second parts of the investment be x and y. Using the simple interest formula, we set the interests equal: x times 18 times 5 divided by 100 equals y times 15 times 4 divided by 100, which simplifies to 90x equals 60y and thus x divided by y equals 2 divided by 3. The first part's share of the total investment is x divided by x plus y, which equals 2 divided by 2 plus 3 or 40 percent. The percentage of the total amount invested in the first part is 40%.

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