Multiple choice

An amount of Rs. 100,000 is invested in two types of shares. The first yields an interest of 9% per annum and the second yields 11% per annum. If the total interest at the end of one year is 9.75%, then the amount invested in each share respectively is

  1. Rs. 72,500 and Rs. 27,500

  2. Rs. 62,500 and Rs. 37,500

  3. Rs. 52,500 and Rs. 47,500

  4. Rs. 82,500 and Rs. 17,500

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be amount at 9%, 100000-x at 11%. 0.09x + 0.11(100000-x) = 0.0975 * 100000. 0.09x + 11000 - 0.11x = 9750. 0.02x = 1250. x = 62500. The other is 37500.

AI explanation

By applying the method of alligation, the ratio of the amounts invested at 9% and 11% to yield an average of 9.75% is (11 - 9.75) : (9.75 - 9), which simplifies to 1.25 : 0.75 or 5 : 3. Given the total investment of Rs. 100000, the individual shares are calculated by dividing the total into 8 parts (5 + 3). The first share is (5/8) * 100000, equaling Rs. 62500, and the second share is (3/8) * 100000, equaling Rs. 37500.

Keep practicing — related questions