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 Ankita borrowed some money from at the rate of 6% per annum for the first 3 year, @ the rate of 9% per annum for the next 5 year and @ the rate of 13% per annum for the period beyond 8 year. If she pays a total interest of Rs.8160 at the end of 11 year. How much money did she borrow?
  • a)
    10000
  • b)
    8000
  • c)
    6000
  • d)
    4000
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ankita borrowed some money from at the rate of 6% per annum for the fi...
B. 8000
Explanation: T1=3, T2=5, T3= Period beyond 8 year, so T3= total years-8 = 11-8 =3 Let the amount borrowed = P [(P*6*3)/100 (P*9*5)/100 (P*13*3)/100] = 8160
[102P/100] = 8160
P=8000
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Most Upvoted Answer
Ankita borrowed some money from at the rate of 6% per annum for the fi...
Solution:
Let's assume that Ankita borrowed Rs. x.

Interest for the first 3 years:
Interest = (Principal * Rate * Time)/100
Interest = (x * 6 * 3)/100 = 18x/100

Interest for the next 5 years:
Interest = (Principal * Rate * Time)/100
Interest = (x * 9 * 5)/100 = 45x/100

Interest for the period beyond 8 years:
Interest = (Principal * Rate * Time)/100
Interest = (x * 13 * 3)/100 = 39x/100

Total interest paid by Ankita after 11 years = 18x/100 + 45x/100 + 39x/100 = 102x/100

According to the given information, Ankita paid a total interest of Rs. 8160 after 11 years. So, we can write the equation as:
102x/100 = 8160

To solve the equation, we can cross multiply:
102x = 8160 * 100
102x = 816000
x = 816000/102
x = 8000

Therefore, Ankita borrowed Rs. 8000.
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Ankita borrowed some money from at the rate of 6% per annum for the first 3 year, @ the rate of 9% per annum for the next 5 year and @ the rate of 13% per annum for the period beyond 8 year. If she pays a total interest of Rs.8160 at the end of 11 year. How much money did she borrow?a)10000b)8000c)6000d)4000Correct answer is option 'B'. Can you explain this answer?
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