P, Q and R divide Rs 64800 among them in the ratio 8 : 9 : 7 respectiv...
Initial Distribution:
- P : Q : R = 8 : 9 : 7
- Total amount = Rs 64800
Amount received by each initially:
- P = (8/24) * 64800 = Rs 21600
- Q = (9/24) * 64800 = Rs 24300
- R = (7/24) * 64800 = Rs 18900
Revised Distribution:
- Q gets 33.33% more i.e. 33.33/100 * 24300 = Rs 8100 more
- R gets Rs 100 more
Amount received by Q and R after revision:
- Q = 24300 + 8100 = Rs 32400
- R = 18900 + 100 = Rs 19000
Total amount to be distributed after revision:
- Total = 21600 + 32400 + 19000 = Rs 73000
New Ratio of Distribution:
- P : Q : R = 21600 : 32400 : 19000
- Simplifying, we get 67 : 101 : 59
- Multiplying by 1, we get 67 : 162 : 95
Therefore, the respective new ratio of dividing the total money among them is 67 : 162 : 95. So, the correct answer is option 'D'.