Multiple choice

Divide Rs. 6000 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. Rs.4000, Rs.2000

  2. Rs.3500, Rs.2500

  3. Rs.3800, Rs.2200

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

PATLIPUTRA: Vowels (A, I, U, A) at positions 2, 4, 6, 9. Consonants (P, T, L, P, T, R) at 1, 3, 5, 7, 8, 10. Vowel arrangements = 4! / 2! (for A) = 12. Consonant arrangements = 6! / (2! * 2!) (for P, T) = 720 / 4 = 180. Total = 12 * 180 = 2160.

AI explanation

Let the first part be x, so the second part is 6000 minus x. The simple interest formula gives x multiplied by 2 multiplied by 6 divided by 100 for the first part, and 6000 minus x multiplied by 3 multiplied by 8 divided by 100 for the second part. Setting these equal gives 12x equals 144000 minus 24x, so 36x equals 144000 and x equals 4000. The two parts are 4000 and 2000.

Keep practicing — related questions