Multiple choice

Divide Rs 1200 into two parts so that simple interest on the first part for 2 years at 6 % p.a may be equal to the simple interest on the second part for 3 years at 8% p.a ?

  1. 700 and 500

  2. 800 and 400

  3. 600 and 600

  4. 300 and 900

  5. 1000 and 200

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let parts be x and (1200 - x). SI1 = x×6×2/100 = 12x/100. SI2 = (1200-x)×8×3/100 = 24(1200-x)/100. Setting equal: 12x = 24(1200-x), 12x = 28800 - 24x, 36x = 28800, x = 800. So parts are 800 and 400.