# Aptitude Questions: Compound Interest Set 4

Hello Aspirants. Welcome to Online Maths in AffairsCloud.com. Here we are creating question sample in Compound Interest, which is common for all the IBPS,SBI exam and other competitive exams. We have included Some questions that are repeatedly asked in exams !!

1. The difference between the total simple interest and the total compound interest compounded annually at the same rate of interest on a sum of money at the end of two years is Rs. 350. What is definitely the rate of interest per cent per annum?
A.9,300
B.7600
C.12000
E.None of these
Explanation :
Difference = Pr2/(100)2
= (350×100×100)/(P×r2)
P is not given

2. Aswin invested an amount of Rs.9000 in a fixed deposit scheme for 2 years at CI rate 6% pa. How much amount will Aswin get on maturity of the fixed amount ?
A.Rs.11,230
B.Rs.10,250
C.Rs.10,112
E.None of these
Explanation :
Amount = 9000*106/100*106/100
= 9000*53/50*53/50
= 10,112

3. A sum of money invested for 7years in Scheme 1 which offers SI at a rate of 8% pa. The amount received from Scheme 1 after 7 years invested for 2 years in Scheme 2 which offers CI rate of 10% pa. If the interest received from Scheme B was Rs.1638. What was the sum invested in Scheme 1 ?
A.Rs.7500
B.Rs.5000
C.Rs.8200
D.Rs.9000
E.None of these
Explanation :
SI =>Amount = x*8*7/100 + x = 56x+100x/100 = 156x/100 = 39x/25
CI=> 39x/25[(1+10/100)2 – 1]
1638 = 39x/25[121/100 – 1] = 39x/100[21/100]
X = 1638*100*25/21*39 = 5000

4. Rs.5200 was partly invested in Scheme A at 10% pa CI for 2 years and Partly invested in Scheme B at 10% pa SI for 4 years. Both the schemes earn equal interests. How much was invested in Scheme A ?
A.Rs.1790
B.Rs.2200
C.Rs.3410
D.Rs.2670
E.None of these
Explanation :
Amount invested in Scheme B = X
Amount invested in Scheme A = 5200 – x
X*10*4/100 = (5200-x)*21/100……………………[(1-10/100)2-1] = 21/100
40x/100 = (5200-x)*21/100
2x/5 = (5200-x)*21/100
200x = 5200*21*5 – x*5*21
200x = 546000 – 105x
305x = 546000
X = 1790
Scheme A = 5200 – 1790 = 3410

5. The CI on Rs.7000 for 3 years at 5% for first year, 7% for second year, 10% for the third year will be
A.Rs.1800
B.Rs.1530
C.Rs.1651
D.Rs.2050
E.None of these
Explanation :
A = 7000*105/100*107/100*110/100
= 7000*1.05*1.07*1.1
= 8650.95 = 8651
CI = 8651-7000 = 1651

6. Poorni and Priyanka have to clear their respective loans by paying 2 equal annual instalments of Rs.20000 each. Poorni pays at 10% pa of SI and Priyanka pays at 10% CI pa. What is the difference in their payments ?
A.200
B.300
C.400
D.500
E.None of these
Explanation :
D =[(20,000 *110/100*110/100) – 20,000]  – 20,000 *10*2/100
=[ 24200-20000]-4000
=4200 – 4000
D = 200

7. A sum of Rs.3,50,500 is to be paid back in 2 equal annual instalments. How much is each instalment, if the rate of interest charged 4% per annum compound annually ?
A.Rs.1,90,450
B.Rs.1,65,876
C.Rs.1,76,545
D.Rs.1,85,834
E.None of these
Explanation :
Total value of all the 3 instalments
[X*100/104] + [X*100*100/104]  = 3,50,500
X*25/26 + x*625/676 = 3,50,500
X*25/26[1+25/26] = 3,50,500
X*25/26[51/26] = 3,50,500
X = 3,50,500*676/25*51 = 1,85,833.72 = 1,85,834

8. At CI, if a certain sum of money is doubled in 4 years, then the amount will be four fold in how many years ?
A.7years
B.4years
C.10years
D.8years
E.None of these
Explanation : 2n = 2*4 = 8 years

9. X has lent some money to A at 5% pa and B at 8% pa. At the end of the year he has gain the overall interest at 7% pa.In what ratio has he lent the money to A and B ?
A.2:1
B.1:2
C.3:1
D.1:4
E.None of these
Explanation :
5………………………….8
……………7…………….
1………………………….2
Ratio A : B = 1:2

10. The difference between interest received by X and Y is Rs.315 on Rs.3500 for 3 years. What is the difference in rate of interest ?
A.1.5%
B.2%
C.3%
D.2.7%
E.None of these