The simple interest on a certain sum at 5% per annum for 3 years and 4 years differ by 82. Find the sum
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Answers
Rs. 1640
Given
Circumstance 1 Circumstance 2
Rate of Interest (r)= 5% Rate of Interest (r)= 5%
Time (t₁)= 3 Time (t₂)= 4
Difference in Simple Interest between the two time periods(S₂-S₁)= Rs. 82
Solution
The formula to find Simple Interest is
SI= P ₓ R ₓ T Where P= Principal R=Rate of Interest T=Time
100
Circumstance 1 Circumstance 2
SI₁= P× 5 × 3 SI₂= P× 5×4
100 100
= 15P = 20P
100 100
SI₂-SI₁= 20P- 15P
100 100
82(Given in question) = 5P
100
(By cross multiplication)
5P= 8200
P= 8200
5
P= 1640
Therefore, Principal Amount is Rs.1640
Answer:
Solution
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Simple Interest=
100
PTR
Simple Interest for 3 years=
100
P×3×5
Simple Interest for 4 years=
100
P×4×5
Given:Simple Interest for 4years−Simple Interest for 3=Rs.42
⇒
100
P×4×5
−
100
P×3×5
=42
⇒
100
20P
−
100
15P
=42
⇒5P=4200 or P=
5
4200
=Rs.840
∴ sum=Rs.840