The amounts of money with Baahu and Bhalla were in the ratio 7 6. Every day, Baahu spends a fixed amount while Bhalla, being more prudent, doesn't spend anything but instead earns an amount, which is one-sixth of what Baahu spends. After six days the amounts with them are in the ratio 10 9. After how many more days will that ratio be less than one for the first time?
Answers
Answer:
13 More Days
Step-by-step explanation:
The amounts of money with Baahu and Bhalla were in the ratio 7 6. Every day, Baahu spends a fixed amount while Bhalla, being more prudent, doesn't spend anything but instead earns an amount, which is one-sixth of what Baahu spends. After six days the amounts with them are in the ratio 10 9
Baahu has = 7X
Bhalla has = 6X
Baahu spend = D => Baahu 6 days Spend = 6D
Bhalla earns = D/6 => Baahu 6 days earning = D
After 6 Days
Bahu has =7X - 6D
Bhalla Has = 6X + D
(7X - 6D)/(6X + D) = 10/9
=> 63X -54D = 60X + 10D
=> 3X = 64D
=> X = 64D/3
Let say After n more Days Ratio < 1
=> 7X - 6D - nD < 6X + D + nD/6
=> X -7D < 7nD/6
=> 64D/3 - 7D < 7nD/6
=> 128D - 42D < 7nD
=> 86D < 7nD
=> n > 86/7
=> n > 12.3
=> n = 13 Days
After 13 more Days ratio be less than one for the first time
Step-by-step explanation:
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