Multiple choice

Divide Rs. 6,600 into two parts so that the simple interest on the first part for 5 years at 6% per annum is equal to the simple interest on the second part for 3 years at 12% per annum.

  1. (Rs. 4,000, Rs. 2,600)

  2. (Rs. 3,500, Rs. 3,100)

  3. (Rs. 3,600, Rs. 3,000)

  4. (Rs. 3,800, Rs. 2,800)

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

Let parts be x and y. x + y = 6600. (x * 5 * 6)/100 = (y * 3 * 12)/100 => 30x = 36y => x/y = 36/30 = 6/5. x = (6/11) * 6600 = 3600, y = 3000.

AI explanation

Let the first part be x, making the second part (6600 minus x). Setting the simple interests equal gives the equation (x times 5 times 6)/100 = ((6600 minus x) times 3 times 12)/100, which simplifies to 30x = 237600 minus 36x. Solving 66x = 237600 yields x = 3600, meaning the two parts are Rs. 3,600 and Rs. 3,000.

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