Multiple choice

Three friends invested Rs 700, Rs 600 and Rs 630 respectively. The first one invested for x months, second for (x+3) months and third for (x+6) months. What is the longest duration of investment (in months), if ratio of share of first to third is 4:9?

  1. 10

  2. 6

  3. 4

  4. 7

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

Profit ratio = investment × time: 700x : 600(x+3) : 630(x+6). Given first:third = 4:9, so 70x/63(x+6) = 4/9. Cross-multiply: 630x = 252x + 1512, 378x = 1512, x = 4. Longest duration is (x+6) = 10 months.

Keep practicing — related questions