The amount of money with baahu and bhalla were in the ratio of 7:6. Every day., Baahu spends a fixed amount while bhalla earns an amount which is one - sixth of what baahu spends. After 6 days the amount with them qre in the ratio 10:9. After how many dayd will the ratio will be less than one for first time??
Answers
Answer:
19 Days
Step-by-step explanation:
The amount of money with baahu and bhalla were in the ratio of 7:6
Let say baahu Amount = 7A
Bhalla Amount = 6A
Let say Baahu spends daily = 6D
Bhalla earns Daily = (1/6) * 6D = D
After 6 Days Baahu spends = 6*6D = 36D
After 6 Dats Bhalla Earns = 6D
Amount after 6 Days 7A- 36D & 6A + 6D in 10 : 9 ration
=> 9 (7A - 36D) = 10(6A + 6D)
=> 63A - 324D = 60A + 60D
=> 3A = 384D
=> A = 128D
Amount in start with Baahu = 7A = 7*128D = 896 D
Amount in start with Bhalla = 6A = 6*128D = 768 D
let say after X days ratio will be lees than 1
=> 896D - X(6D) < 768D + XD
=> 128 - 6X < 756 + X
=> 128 < 7X
=> X > 18.3
=> X = 19
After 19 Days from start ratio will be less than one for first time
Baahu Bhalla
START 896 768
after 6 Days 860 774
after 18 Days 788 786
after 19 Days 782 787