A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Answers
Answered by
23
A certain sum amounts to Rs. 1725 in 3 years
and amounts to Rs.1875 in 5 years
so interest of 2 years = 1875 -1725
= 150
so interest of 1 year = 75
so interest of 3 years = 75 × 3 =225 rs
so , Principal = Amount - SI
= 1725 - 225
= 1500 rs
now ,
S.I. = P × N × R /100
75 = 1500 × 1 × R /100
R = 75 / 15
R = 5 pcpa
and amounts to Rs.1875 in 5 years
so interest of 2 years = 1875 -1725
= 150
so interest of 1 year = 75
so interest of 3 years = 75 × 3 =225 rs
so , Principal = Amount - SI
= 1725 - 225
= 1500 rs
now ,
S.I. = P × N × R /100
75 = 1500 × 1 × R /100
R = 75 / 15
R = 5 pcpa
Answered by
8
Answer:
5 %
Step-by-step explanation:
Let, p = Principle;
1st Case:
SI = (p * r * 3) / 100 = 1725 - p
or, p * r * 3 = 172500 - 100p
or, 3pr + 100p = 172500
or, p = 172500/(3r + 100)
2nd Case:
SI = (p * r * 5) = 187500 - 100p
or, 5pr + 100p = 187500
or, p = 187500/(pr + 100)
Now, both case p are same
172500/(3r + 100) = 187500/(3r + 100)
or, p = 5%
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