On the account of the economic slowdown, a large company reduced some of the allowances of its employees. Murugesan, the marketing manager of the company whose monthly salary has been reduced to Rs 42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs 2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs 500 every month. Murugesan has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, Murugesan would start borrowing from his friends. How soon will he start borrowing?

• At 13th month i.e. after 1 year he will start borrowing.
  Explanation: at 1st month deficit is 2000,at 2nd month 2500,at 3rd month 3000.like this at 12th month it is 7500.
  so,2000+2500+3000+3500+4000+4500+5000+5500+6000+6500+7000+7500=57000.
  After 12th month he has 3000 left of his savings.But he need more 5000 to fill the deficit as total deficit is 8000 at the 13th month.So at 13th month he will start borrowing
  
• 9 years agoHelpfull: Yes(13) No(5)
• This is an A.P problem
  2000,2500,3000,3500,......
  The savings are 60000, so sum of deficit = 60000
  Sn= n/2(2a+(n-1)d)
  60000=n/2(4000+(n-1)500)
  solving we get n^2+7n-240=0
  spolving this equation n=12.38 months
  after 12 months 12 days he will start borrowing
• 9 years agoHelpfull: Yes(11) No(0)
• hshiralsolanki@gmail.com
• 9 years agoHelpfull: Yes(2) No(5)