Multiple choice

A sum of 21000 rs. was divided in three parts in the ratio of 5:3:2 respectively. While 1st part was invested at 5% p.a and other two parts was invested at same% per annum which is thrice of the rate% of 1st part , then interest to be paid at the end of two years in rupees ?

  1. 2625

  2. 4200

  3. 4500

  4. 4750

  5. 5200
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B Correct answer
Explanation

Ratio 5:3:2, total 10 parts. Parts: 10500, 6300, 4200. Rates: 5%, 15%, 15%. Interest = (10500*5*2)/100 + (6300*15*2)/100 + (4200*15*2)/100 = 1050 + 1890 + 1260 = 4200.

AI explanation

The sum of Rs. 21,000 is divided into three parts in the ratio 5:3:2, making the parts Rs. 10,500, Rs. 6,300, and Rs. 4,200. The first part is invested at 5% per annum, while the other two parts are invested at thrice the rate, which is 15% per annum. Using the simple interest formula, the interest for two years on the first part is (10,500 times 5 times 2) divided by 100, equaling Rs. 1,050. The interest on the second and third parts combined is ((6,300 + 4,200) times 15 times 2) divided by 100, equaling Rs. 3,150. The total interest is 1,050 + 3,150, which equals Rs. 4,200.

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