Multiple choice

Shweta, Shubhi and Samta divide an amount of Rs. 8400 amongst themselves in the ratio of 7: 8: 6 respectively. If an amount of Rs. 400 is added to each of their shares, what will be the new respective ratio of their shares of amount?

  1. $5 : 7 : 4$
  2. $3 : 5 : 4$
  3. $9 : 10 : 8$
  4. $10 : 11 : 9$
  5. $8 : 9 : 7$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Original ratio 7:8:6 on sum 8400 gives parts: (7+8+6) = 21 parts, each part = 8400/21 = 400. So original shares are: 7×400 = 2800, 8×400 = 3200, 6×400 = 2400. After adding 400 to each: 2800+400 = 3200, 3200+400 = 3600, 2400+400 = 2800. Simplified ratio: 3200:3600:2800 = 8:9:7 (dividing by 400). Option E is correct.