Choga borrowed rs 8000 at the rate of simple interest 12 %per annum then find the amount that he pay after 1 year
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Answer:
A and B owe the same amount after n years.
A pays 12% simple interest per year on 8000 rupees. Over n years, A will owe the original sum borrowed plus all the accrued interest:
A= 8000 + (8000 × 0.12 × n)
=8000+(960×n)
and,
B pays 10% simple interest per year on 9100 rupees. Over n years, B will similarly owe:
B= 9100 + (9100 × 0.10 × n)
=9100+(910×n)
so,
When will A and B owe the same?
Set A equal to B and solve for n
A=B
8000+(960×n)=9100+(910×n)
960n=1100+910n
50n=1100
n=22
ANSWER: A and B will equal after 22 years.
Sanity check
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Step-by-step explanation:
Given:
P = 8000
R = 12%
T = 1 year
S.I. = (P×R×T)/100
= (8000×12×1)/100
= 96000/100
= 960
Amount = P + S.I.
= 8000 + 960
= 8960
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