Rupees 41.75 was paid as the interest on rupees 835 at 26/4% per annum. If the date of lending was 5 January 2009, find the date up to which the interest was paid.
Answers
Answer:
The date up to which the interest was paid 8 September 2009.
Step-by-step explanation:
Given,
S.I = Rs 41.75
Principal ( P ) = Rs 835
Rate ( R ) = 26/4 %
Date of Lending = 5 January 2009
We know that:
⇒ S.I =
⇒ Rs 41.75 =
⇒ T =
⇒ T = years
⇒ T = month
⇒ T = 9 months 3 days
So, The date up to which the interest was paid
= 5 January 2009 + 9 months 3 days
= 8 September 2009
Up to 12th Oct , 2009 interest was paid if Rs 41.75 was paid as the interest on Rs 835 at 26/4% per annum. and date of lending was 5 January 2009
Given:
- P= Rs 835
- Interest = 41.75
- R = 26/4 = 13/2 % per annum
- Date of Lending 5 Jan 2009
To Find:
- Date up to which interest was paid
Solution:
SI = P * R * T /100
SI = Simple Interest
Step 1 :
Solve for T by substituting given values
41.75 = 835 x (13/2) x T /100
=> T = 10/13 Years
Step 2 :
Find number of days by multiplying with 365 ( as 1 year = 365 days)
365 x 10/13 ≈ 281 Days
Step 3 :
Add 281 Days in 5 Jan 2009
Jan = 27 , Feb = 28 , Mar = 31 , Apr 30, May 31, Jun 30 , Jul 31 , Aug 31 , Sep 30 , Oct 12
Up to 12th Oct , 2009 interest was paid.
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