1. Find the Simple Interest on Rs 750 in 4 years at 15% per annum
here S.I = PTR/100
= (750 X 4 X 15) / 100 = 450
2. On what sum of money will the Simple Interest be Rs. 2000 in 5 years at 8% Per Annum?
here they are asking about P,
So, P = 100I / TR
= (100X2000) / 40 = 5000
3. A man invested Rs. 20,000 at 10% P.A. Rs. 15,000 at 12% P.A. and some money at 15% P.A. If the total annual interest recieved is Rs. 56,00, find the money invested by him at 15% P.A
here, the total Interest he recieved is Rs. 56,00.
So, find the total interest and try to equate it with 56,00
So, the total interest = Σ [ (PTR)/100 ] [ here Sigma symbol (Σ ) represents the Total]
3. A man invested Rs. 20,000 at 10% P.A. Rs. 15,000 at 12% P.A. and some money at 15% P.A. If the total annual interest recieved is Rs. 56,00, find the money invested by him at 15% P.A
here, the total Interest he recieved is Rs. 56,00.
So, find the total interest and try to equate it with 56,00
So, the total interest = Σ [ (PTR)/100 ] [ here Sigma symbol (Σ ) represents the Total]
= 200X10+150X12+ (P/100)X15 = 5600
3800+ (3P/20) = 5600
= 3P/20 = 1800 => P = 12000/-
4. On a sum of money the rate of interest is 5% Per Annum for the first 3 years, 6% Per Annum for the next 4 years, and 8% Per Annum for the next years beyond the first 7 Years. If the interest obtained in 12 Years is Rs. 3,950, Find the Sum?
5% X 3 + 6% X 4 + 8% X 5
= 15% + 24% + 40% = 79%
=> (79/100) P = 3950
=> P = (39500/79) = 5000
5. A sum was put at 5% at a certain rate for 5 Years. Had it been put at 3% Per Annum higher rate, it would have fetched Rs. 900 more. Find the Sum?
P = 100I / TR [Note : Here I is Additional Interest and R is additional Rate]
= (100 X 90) / (5X3)
= 6000
6. On a certain Sum of Money the Simple Interest in 2 years at 10% P.A is Rs. 125, what would be the S.I if the rate of Interest will be 12% P.A in 3 Years?
Here the Principle is same for both the cases. I mean p = P
=> 100i / tr = 100I / TR
= 125 / (2 x 10) = I / (3 x 12)
= > I = 225
7. The S.I on Rs 6400 at 12 1/2 % per annum is Rs. 2000. Find the Period ?
T = 100I / PR = (100 X 2000 X 2) / (6400 X 25) = 2 1/2 years
8. The S.I on Rs. 6000 in 3 Years and 4 Months is Rs. 3000. Find the rate percent Per Annum ?
[ here T = 3 4/12 = 3 1/3 = 10/3 years]
I = PTR / 100 => R = 100I / PT
=> (100 X 3000 X 3) / (6000 X 10 ) = 15
9. Manish took a loan of Rs. 4000 at S.I. After 2 Years he cleared the loan by paying Rs. 5600. Find the Rate % P.A?
[ Here Manish took Rs. 4000 and Payed 5600. So the Interest will be 5600-4000 = 1600 ]
So, R = 100I / PT
= (100 X 1600) / (400 X 2)
= 20
10. A lent Rs. 25000 to B for 4 years and Rs. 40,000 to C for 3 1/2 years and got Rs. 24,000 S.I from both B and C. Find the rate PCPA
Σ [ (PTR)/100 ] = 250 X 4R = 400 X (7/2) R = 2400R
=> R = 10
Check the Basics of Compound Interest HERE
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