问题1.当本金= 3000卢比,利率=每年5%和时间= 2年时,求出复利。
解决方案:
Given that,
Principal (p) = Rs 3000
Rate (r) = 5%
Time = 2years
Interest for first year = (3000×5×1)/100 = 150
Amount at the end of first year = 3000 + 300 = Rs 3150
Principal Interest for Second year = (3150×5×1)/100 = 157.5
Amount at the end of Second year = 3150 + 157.5 = Rs 3307.5
Compound Interest(CI) = 3307.5 – 3000 = Rs 307.5
问题2:卢比的复利是多少?当两年的年利率为5%时达到4000?
解决方案:
Given that,
Principal (p) = Rs 4000
Rate (r) = 5%
Time = 2 years
Using formula A = P (1 + R/100)n, put all values in these formula
= 4000 (1 + 5/100)^2
= 4000 (105/100)^2
= Rs 4410
Compound Interest(CI) = A – P = 4410 – 4000 = Rs 410
问题3。Rohit交纳卢比。 8000年,在一家金融公司工作了3年,年利率为15%。 Rohit三年后可获得的复利是多少?
解决方案:
Given that,
Principal (p) = Rs 8000
Rate (r) = 15%
Time = 3years
Using formula A = P (1 + R/100)n, put all values in these formula
= 8000 (1 + 15/100)^3
= 8000 (115/100)^3
= Rs 12167
Compound Interest(CI) = A – P = 12167 – 8000 = Rs 4167
问题4:找到Rs的复利。 1000,年利率8%,为期1.5年,半年度加息。
解决方案:
Given that,
Principal (p) = Rs 1000
Rate (r) = 8%
Time = 1 ½ years = 3/2 × 2 = 3 half year
Using formula A = P (1 + R/100)2n, put all values in these formula
= 1000 (1 + 8/200)3
= 1000 (208/200)3
= Rs 1124.86
Compound Interest(CI) = A – P = 1124.86 – 1000 = Rs 124.86
问题5:找到Rs的复利。如果利息按季度计息,则为每年160000,年利率为20%。
解决方案:
Given that,
Principal (p) = Rs 160000
Rate (r) = 20% = 20/4 = 5% (for quarter year)
Time = 1year = 1 × 4 = 4 quarters
Using formula A = P (1 + R/100)n , put all values in these formula
= 160000 (1 + 5/100)4
= 160000 (105/100)4
= Rs 194481
Compound Interest(CI) = A – P = 194481 – 160000 = Rs 34481
问题6:斯瓦蒂(Swati)借了卢比(Rs)。 16000反对她的保险单,年利率为12½%。计算3年后Swati应付的总复利。
解决方案:
Given that,
Principal (p) = Rs 16000
Rate (r) = 12 ½ % = 12.5%
Time = 3years
Using formula A = P (1 + R/100)n, put all values in these formula
= 16000 (1 + 12.5/100)3
= 16000 (112.5/100)3
= Rs 22781.25
Compound Interest(CI) = A – P = 22781.25 – 16000 = Rs 6781.25
问题7:罗马借了卢比。银行以1½年的年利率10%收取64000。比较罗马在1½年后应付的总复利,如果该利息每半年复利一次
解决方案:
Given that,
Principal (p) = Rs 64000
Rate (r) = 10 % = 10/2 % (for half a year)
Time = 1 ½ years = 3/2 × 2 = 3 (half year)
Using formula A = P (1 + R/100)n , put all values in these formula
= 64000 (1 + 10/2×100)3
= 64000 (210/200)3
= Rs 74088
Compound Interest = A – P = 74088 – 64000 = Rs 10088
问题8。梅瓦勒尔借了卢比。来自他的朋友Rooplal的20000,年利率为18%。他以相同的比率将其借给Rampal,但每年复利一次。 2年后找到他的收获。
解决方案:
Given that,
Principal (p) = Rs 20000
Rate (r) = 18 %
Time = 2 years
By using the formula,
Interest amount Mewa lal has to pay,
Using formula Simple interest = P×T×R/100
= (20000×18×2)/100 = 7200
The interest amount Rampal has to pay to Mewa lal is Rs. 7200
Using formula A = P (1 + R/100)n, put all values in these formula
= 20000 (1 + 18/100)2 = 20000 (118/100)2
= Rs 27848 – 20000 = Rs 7848
= 7848 – 7200 = Rs 648
Mewa lal earn Rs 648
问题9:找到Rs的复利。 8000个,为期9个月,每年20%,每季度复利一次。
解决方案:
Given that,
Principal (p) = Rs 8000
Rate (r) = 20 % = 20/4 = 5%
Time = 9 months = 9/3 = 3
Using formula A = P (1 + R/100)n, put all values in these formula
= 8000 (1 + 5/100)3
= 8000 (105/100)3
= Rs 9261
Compound Interest(CI) = A – P = 9261 – 8000 = Rs 1261
问题10。求出该本金的复利,期限为两年,年利率为10%,给定Rs,则在两年内,复利的年利率为10%。单利200
解决方案:
Given that,
Simple interest (SI) = Rs 200
Rate (r) = 10 %
Time = 2 years
Here we will use Simple interest = P×T×R/100 formula
P = (SI × 100)/ T×R
= (200 × 100) / 2 × 10 = Rs 1000
As given that Rate of compound interest = 10%
Time = 2years
Using formula A = P (1 + R/100)n, put all values in these formula
= 1000 (1 + 10/100)2
= 1000 (110/100)2 = Rs 1210
Compound Interest(CI) = A – P = 1210 – 1000 = Rs 210
问题11:找到Rs的复利。 1年64,000,按每年10%的利率每季复利一次。
解决方案:
Given that,
Principal (p) = Rs 64000
Rate (r) = 10 % = 10/4 % (for quarterly)
Time = 1year = 1× 4 = 4 (for quarter in a year)
Using formula A = P (1 + R/100)n , put all values in these formula
= 64000 (1 + 10/4×100)4
= 64000 (410/400)4
= Rs 70644.03
Compound Interest(CI) = A – P = 70644.03 – 64000 = Rs 6644.03
问题12. Ramesh交纳卢比。 7500的银行,按季度计息,每年付给他12%的利息。他在9个月后收到多少钱。
解决方案:
Given that,
Principal (p) = Rs 7500
Rate (r) = 12 % = 12/4 = 3 % (for quarterly)
Time = 9 months = 9/12years = 9/12 × 4 = 3 (for quarter in a year)
Using formula A = P (1 + R/100)n, put all values in these formula
= 7500 (1 + 3/100)3
= 7500 (103/100)3 = Rs 8195.45
Hence, the Required amount is Rs 8195.45
问题13:阿尼尔借了一笔卢比。 9600在他的奶牛场安装一个手动泵。如果年复利的年利率为5½%,请确定Anil在3年后必须支付的复利。
解决方案:
Given that,
Principal (p) = Rs 9600
Rate (r) = 5 ½ % = 11/2 %
Time = 3years
Using formula A = P (1 + R/100)n, put all values in these formula
= 9600 (1 + 11/2×100)3
= 9600 (211/200)3 = Rs 11272.71
Compound Interest (CI)= A – P = 11272.71 – 9600 = Rs 1672.71
问题14.泗水借了一笔卢比的款项。 12000年从一家金融公司购买了一台冰箱。如果利率是每年5%的复合年利率,请计算Surabhi在3年后必须支付给公司的复合利率。
解决方案:
Given that,
Principal (p) = Rs 12000
Rate (r) = 5 %
Time = 3years
Using formula A = P (1 + R/100)n, put all values in these formula
= 12000 (1 + 5/100)3
= 12000 (105/100)3 = Rs 13891.5
Compound Interest(CI) = A – P = 13891.5 – 12000 = Rs 1891.5
问题15. Daljit收到一笔卢比的款项。从金融公司借来的4万。如果利率为每年7%的年复利,请计算Daljit在2年后支付的复利。
解决方案:
Given that,
Principal (p) = Rs 40000
Rate (r) = 7%
Time = 2years
Using formula A = P (1 + R/100)n, put all values in these formula
= 40000 (1 + 7/100)2
= 40000 (107/100)2 = Rs 45796
Compound Interest(CI)= A – P = 45796 – 40000 = Rs 579