A principal at compound interest becomes RS 9000at The end of second year and become RS.13500at The end of fourth year find the principal.
Answers
Answer:
Question 1:
Use the formulae to find simple interest and amount.
Example Principal
Rs Rate of interest p.c.p.a Number of years
(1) 9,000 10 3
(2) 15,000 11 2
(3) 50,000 9 4
(4) 1,25,000 12 2
(5) 1,50,000 10 3
ANSWER:
(1) Principal = Rs 9,000
Rate of interest = 10% p.a.
Number of years = 3 years
Simple Interest =Principal×Rate×Time100=9,000×10×3100= Rs 2700=Principal×Rate×Time100=9,000×10×3100= Rs 2700
Amount = Principal + Interest = 9,000 + 2,700 = Rs 11,700
∴ The simple interest is Rs 2,700.
And amount is Rs 11,700.
(2) Principal = Rs 15,000
Rate of interest = 11% p.a.
Number of years = 2 years
Simple Interest=Principal×Rate×Time100=15,000×11×2100= Rs 3300=Principal×Rate×Time100=15,000×11×2100= Rs 3300
Amount = Principal + Interest = 15,000+ 3,300 = Rs 18,300
∴ The simple interest is Rs 3,300.
And amount is Rs 18,300.
(3) Principal = Rs 50,000
Rate of interest = 9% p.a.
Number of years = 4 years
Simple Interest =Principal×Rate×Time100=50,000×9×4100= Rs 18000=Principal×Rate×Time100=50,000×9×4100= Rs 18000
Amount = Principal + Interest = 50,000 + 18,000 = Rs 68,000
∴ The simple interest is Rs 18,000.
And amount is Rs 68,000.
(4) Principal = Rs 1, 25,000
Rate of interest= 12% p.a.
Number of years = 2 years
Simple Interest =Principal×Rate×Time100=125,000×12×2100= Rs 30000=Principal×Rate×Time100=125,000×12×2100= Rs 30000
Amount = Principal + Interest = 1,25,000 + 30,000 = Rs 1,55,000
∴The simple interest is Rs 30,000.
And amount is Rs 1,55,000.
(5) Principal = Rs 1,50,000
Rate of interest = 10% p.a.
Number of years = 3 years
Simple Interest =Principal×Rate×Time100=150,000×10×3100= Rs 45000=Principal×Rate×Time100=150,000×10×3100= Rs 45000
Amount = Principal + Interest = 1,50,000 + 45,000 = Rs 1,95,000
∴ The simple interest is Rs 45,000
And amount is Rs 1,95,000.
Step-by-step explanation:
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Answer:
step by step
Step-by-step explanation:
(4) 1,25,000 12 2
(5) 1,50,000 10 3
ANSWER:
(1) Principal = Rs 9,000
Rate of interest = 10% p.a.
Number of years = 3 years
Simple Interest =Principal×Rate×Time100=9,000×10×3100= Rs 2700
Amount = Principal + Interest = 9,000 + 2,700 = Rs 11,700
∴ The simple interest is Rs 2,700.
And amount is Rs 11,700.
(2) Principal = Rs 15,000
Rate of interest = 11% p.a.
Number of years = 2 years
Simple Interest=Principal×Rate×Time100=15,000×11×2100= Rs 3300
Amount = Principal + Interest = 15,000+ 3,300 = Rs 18,300
∴ The simple interest is Rs 3,300.
And amount is Rs 18,300.
(3) Principal = Rs 50,000
Rate of interest = 9% p.a.
Number of years = 4 years
Simple Interest =Principal×Rate×Time100=50,000×9×4100= Rs 18000
Amount = Principal + Interest = 50,000 + 18,000 = Rs 68,000
∴ The simple interest is Rs 18,000.
And amount is Rs 68,000.
(4) Principal = Rs 1, 25,000
Rate of interest= 12% p.a.
Number of years = 2 years
Simple Interest =Principal×Rate×Time100=125,000×12×2100= Rs 30000
Amount = Principal + Interest = 1,25,000 + 30,000 = Rs 1,55,000
∴The simple interest is Rs 30,000.
And amount is Rs 1,55,000.
(5) Principal = Rs 1,50,000
Rate of interest = 10% p.a.
Number of years = 3 years
Simple Interest =Principal×Rate×Time100=150,000×10×3100= Rs 45000
Amount = Principal + Interest = 1,50,000 + 45,000 = Rs 1,95,000
∴ The simple interest is Rs 45,000
And amount is Rs 1,95,000.