Multiple choice

Arjun, Priya, and Raj have invested their funds in the ratio of 2 : 3 : 4 in different investment plans, which provide them annual interest rates in the ratio of 7 : 5 : 3. If Raj's annual interest earned is Rs. 1,500 less than Arjun's, what is the total interest earned from these investment plans in a year?

  1. Rs. 22,350

  2. Rs. 23,250

  3. Rs. 30,750

  4. Rs. 32,250
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio 2:3:4, Interest rate ratio 7:5:3. Interest earned ratio = (2*7):(3*5):(4*3) = 14:15:12. Let interest be 14k, 15k, 12k. Arjun's interest = 14k, Raj's interest = 12k. Difference = 2k = 1500. k = 750. Total interest = 14k + 15k + 12k = 41k = 41 * 750 = 30750.

AI explanation

Let the investments be 2x, 3x, and 4x, and the interest rates be 7y, 5y, and 3y. The interests are in the ratio (2*7) : (3*5) : (4*3), which is 14 : 15 : 12. The difference between Raj's and Arjun's interest is 2 units, so 2 units equals Rs. 1,500, meaning 1 unit is Rs. 750. The total interest is 14 + 15 + 12 = 41 units, so 41 * 750 = 30,750. The total interest earned is Rs. 30,750.

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