Question 20. 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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Answer:
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
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