1. The Simple interest on a certain sum for 2 years at 20% per annum is Rs. 80. The corresponding compound interest is
1. Rs. 66
2. Rs. 82
3. Rs. 86
4. Rs. 88
Answer & Explanation Answer:- 4 Explanation :- Principal, P = (SI×100)/ RT = 100×8020×2 = Rs. 200 2. The Compound interest on Rs. 20,480 at 6 1⁄4 % per annum for 2 years 73 days, is : Answer & Explanation Answer:- 1 Explanation :- 3. A sum amounts to Rs. 882 in 2 years at 5% compound interest. The sum is Answer & Explanation Answer:- 1 Explanation :- Amount After 2 years = Rs.882 4. A sum put out at 4% compound interest payable half-yearly amounts to Rs. 13265.10 in 11⁄2 years. The sum is Answer & Explanation Answer:- 1 Explanation :- 5. A sum of money is borrowed and paid back in two annual instalments of Rs. 882 each allowing 5% compound interest. The sum borrowed was: Answer & Explanation Answer:- 2 Explanation :- Present Worth = x / (1+R/100)^T
Amount after 2 year on Rs.200 at 20% p.a( compounded annually) =P(1+R100)T
Amount = 200(1+20/100)^2
Amount = 200(120/100)^2 = (200×120×120)/(100×100)
Amount = 2×120×120/100 = 2×12×12 = Rs. 288
Compound Interest = 288 – 200 = Rs.88
1. Rs. 2929
2. Rs. 2219
3. Rs. 3021
4. Rs. 3049
1. Rs. 800
2. Rs. 822
3. Rs. 840
4. Rs. 816
Amount after 2 years = P(1+R100)T = 882
P(1+5/100)^2 = 882P(105/100)^2= 882
P(21/20)2 = 882
P = (882×20×20)/(21×21) = 2×20×20 = Rs. 800
1. Rs. 12500
2. Rs. 11200
3. Rs. 8840
4. Rs. 12600
1. Rs.1820
2. Rs.1640
3. Rs.1260
4. Rs.1440
The sum borrowed = Present Worth of Rs.882 due 1 year hence + Present Worth of Rs.882 due 2 year hence
Sum = 882/(1+5/100)^1 + 882/(1+5/100)^2
Sum = 882/(105/100 ) + 882/(105/100)^2
Sum = 882/(21/20) + 882/(21/20)^2
Sum = [(882×20)/21] + [(882×20×20)/(21×21)]
Sum =(42×20) + (42×20×20/21)1640
i.e., The sum borrowed = Rs.1640