The Simple intrest on a certain sum at 5% per annum for 3 year and 4 year differ by Rs. 82 . Find the sum
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The Simple intrest on a certain sum at 5% per annum for 3 year and 4 year differ by Rs. 82 . Find the sum
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Verified answer
Answer: Rs. 1,640
Step-by-step explanation:
Simple Interest= PTR/100
Simple Interest for 3 years= P×3×5/100
Simple Interest for 4 years= P×4×5/100
Given:Simple Interest for 4years−Simple Interest for 3=Rs.82
⇒ P×4×5/100 − P×3×5/100 =82
⇒ 20P/100− 15P/100
=82
⇒5P=8200 or P= 8200/5
=Rs.1,640
∴ sum=Rs.1,640
Hope it helps!
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