model 1 basic compound interest using formula Practice Questions Answers Test with Solutions & More Shortcuts
compound interest PRACTICE TEST [6 - EXERCISES]
model 1 basic compound interest using formula
model 2 at ci sum becomes ‘n’ times after ‘t’ years
model 3 combination of si & ci
model 4 difference in ci & si
model 5 ci with instalments
model 6 comparing sum in different years
Question : 21 [SSC CGL Prelim 2000]
The compound interest on Rs.10,000 in 2 years at 4% per annum, the interest being compounded half-yearly, is :
a) Rs.828. 82
b) Rs.636.80
c) Rs.912. 86
d) Rs.824.32
Answer »Answer: (d)
Using Rule 1,
A = 10,000$(1 + 2/100)^4$
=10,000$(51/50)^4$ =10824.3216
Interest = 10,824.3216 - 10,000
= Rs.824.32
Question : 22 [SSC CGL Tier-I 2013]
A man borrows Rs.21000 at 10% compound interest. How much he has to pay annually at the end of each year, to settle his loan in two years ?
a) Rs.12300
b) Rs.12000
c) Rs.12200
d) Rs.12100
Answer »Answer: (d)
If each instalment be x, then Present worth of first instalment
= $x/{1 + 10/100} = {10x}/11$
= Present worth of second instalment
= $x/(1 + 10/100)^2 = 100/121x$
$10/11x + 100/121x$ = 21000
${110x + 100x}/121 = 21000$
210x = 21000 × 121
$x = {21000 × 121}/210$ = Rs.12100
Using Rule 9,If a sum 'P' is borrowed at r% annual compound interest which is to be paid in 'n' equal annual installments including interest, then(i) For n = 2, Each annual installment= $p/{(100/{100 + r}) + (100/{100 + r})^2$(ii) For n = 3, Each annual installment= $p/{(100/{100 + r}) + (100/{100 + r})^2 + (100/{100 + r})^3$
Here, n = 2, p = Rs.21000, r = 10%
Each annual instalment
= $p/{(100/{100 + r}) + (100/{100 + r})^2$
= $21000/{100/110 + (100/110)^2}$
= $21000/{100/110 + 10000/12100}$
= $21000/{10/11 + 100/121}$
= $21000/{110 + 100} × 121$
= $21000/210 × 121$ = 12100
Question : 23 [SSC CGL Prelim 2008]
A certain sum, invested at 4% per annum compound interest, compounded half yearly, amounts to Rs.7,803 at the end of one year. The sum is
a) Rs.7,700
b) Rs.7,000
c) Rs.7,500
d) Rs.7,200
Answer »Answer: (c)
Using Rule 1,
Let the sum be P.
As, the interest is compounded half-yearly,
R = 2%, T = 2 half years
A = P$(1 + R/100)^T$
7803 = P$(1 + 2/100)2$
7803 = $(1 + 1/50)^2$
7803 = P$× 51/50 × 51/50$
P = ${7803 × 50 × 50}/{51 × 51}$ = Rs.7500
Question : 24 [SSC CGL Prelim 2005]
In how many years will Rs.2,000 amounts to Rs.2,420 at 10% per annum compound interest?
a) 1$1/2$ years
b) 3 years
c) 2 years
d) 2$1/2$ years
Answer »Answer: (c)
Using Rule 1,
According to question,
2420 = 2000$(1 + 10/100)^t$
$2420/2000 = (11/10)^t$
or $(11/10)^t = 121/100$
or, $(11/10)^t = (11/10)^2$
t = 2 years
Question : 25 [SSC CGL Prelim 2005]
At what rate per cent per annum will Rs.2304 amount to Rs.2500 in 2 years at compound interest ?
a) 4$1/3$%
b) 4$1/2$%
c) 4$1/6$%
d) 4$1/5$%
Answer »Answer: (c)
Using Rule 1,
Let the rate per cent per annum be r. Then,
2500 = 2304$(1 + r/100)^2$
$(1 + r/100)^2 = 2500/2304 = (50/48)^2$
$1 + r/100 = 50/48 = 25/24$
$r/100 = 25/24 - 1 = 1/24$
r = $100/24 = 25/6 = 4{1}/6$%
IMPORTANT quantitative aptitude EXERCISES
-
500+ Basic Compound Interest MCQs Aptitude Practice Test »
-
Top 499+ Compound Interest MCQs For BANK SSC UPSC Railway »
-
New 455+ Compound Interest Problems Solution for BANK SSC »
-
Top 399+ Compound Interest Questions for UPSC TNPSC Exams »
-
Top 599+ Compound Interest Practice MCQs For SBI IBPS RBI »
-
Top 489+ Compound Interest Practice Sums For All SSC Exam »
model 1 basic compound interest using formula Shortcuts »
Click to Read...model 1 basic compound interest using formula Online Quiz
Click to Start..compound interest Shortcuts and Techniques with Examples
-
model 1 basic compound interest using formula
Defination & Shortcuts … -
model 2 at ci sum becomes ‘n’ times after ‘t’ years
Defination & Shortcuts … -
model 3 combination of si & ci
Defination & Shortcuts … -
model 4 difference in ci & si
Defination & Shortcuts … -
model 5 ci with instalments
Defination & Shortcuts … -
model 6 comparing sum in different years
Defination & Shortcuts …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »