model 4 difference in ci & si Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 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 »
The following question based on compound interest topic of quantitative aptitude
(a) 640
(b) 650
(c) 625
(d) 630
The correct answers to the above question in:
Answer: (c)
Using Rule 6,
The difference between compound interest and simple interest for two years
= ${\text"Principal" × (Rate)^2}/{100 × 100}$
1 = ${\text"Principal" × (4)^2}/10000$
Principal = $10000/16$ = Rs.625
Discuss Form
Read more difference in ci and si Based Quantitative Aptitude Questions and Answers
Question : 1
Find the difference between the compound interest and the simple interest on 32,000 at 10% p.a. for 4 years.
a) 2501.20
b) 2051.20
c) 2025.20
d) 2052.50
Answer »Answer: (b)
Using Rule 1,
S.I. = $\text"Principal × Time × Rate"/100$
= ${32000 × 4 × 10}/100$ = Rs.12800
C.I. = P$[(1 + R/100)^4 - 1]$
= 32000$[(1 + 10/100)^4 - 1]$
= 32000 $[(1.1)^4$ - 1]
= 32000 (1.4641 - 1)
= 32000 × 0.4641= Rs.14851.2
Required difference
= 14851.2 - 12800 = Rs.2051.2
Question : 2
If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is 6, then the sum is
a) 2000
b) 2200
c) 2600
d) 2400
Answer »Answer: (d)
Using Rule 6,The difference between C.I. and S.I. on a sum 'P' in 2 years at the rate of R% rate of compound interest will beC.I - S.I. = P$(R/100)^2 = {S.I. × R}/200$ For 3 years, C.I. - S.I. = P$(R/100)^2 × (3 + R/100)$
Difference = ${Pr^2}/10000$
6 = ${P × 5 × 5}/10000$
P = 6 × 400 = Rs.2400
Question : 3
What sum will give 244 as the difference between simple interest and compound interest at 10% in 1 1 2 years compounded half yearly ?
a) 28,000
b) 40,000
c) 32,000
d) 36,000
Answer »Answer: (c)
Using Rule 6,
Time = $3/2 × 2 = 3$ half years
Rate = $10/2$ = 5% per half year
[Since, when r → $r/2$, then t → 2t]
Difference = P$(r^3/1000000 + {3r^2}/10000)$
244 = P$(125/1000000 + 75/10000)$
244 = P$(7625/1000000)$
P = ${244 × 1000000}/7625$ = Rs.32000
Question : 4
The difference between the compound interest and the simple interest on a certain sum at 5% per annum for 2 years is 1.50. The sum is
a) 300
b) 600
c) 400
d) 500
Answer »Answer: (b)
Using Rule 6,
Difference = ${PR}^2/(100)^2$
1.50 = ${P × 5 × 5}/(100)^2$
P = 400 × 1.5 = Rs.600
Question : 5
The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is 48. Then the sum is
a) 2, 000
b) 1,000
c) 1, 500
d) 1, 200
Answer »Answer: (d)
Using Rule 6,
Difference of two years
= P$(r^2/10000)$
48 = P$(400/10000)$
48 = $P/25$
P = 48 × 25 = Rs.1200
Question : 6
The difference between compound interest (compounded annually) and simple interest on a certain sum of money at 10% per annum for 2 years is 40. The sum is :
a) 3200
b) 4000
c) 4200
d) 3600
Answer »Answer: (b)
Let the principal be x.
Compound interest
= P$[(1 + R/100)^t - 1]$
= $x[(1 + 10/100)^2 - 1]$
= $x[(1.1)^2 - 1]$
= x (1.21 - 1) = 0.21x
SI = ${x × 2 × 10}/100 = x/5 = 0.2x$
According to the question,
0.21x - 0.2x = 40
$0.01x = 40 ⇒ x = 40/{0.01}$ = Rs.4000
Using Rule 6,
Here, C.I. - S.I. = Rs.40, R = 10%, T = 2 years, P = ?
C.I. - S.I. = P$(R/100)^2$
40 = P$(10/100)^2$ ⇒ P = Rs.4000
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 …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »
Mensuration Aptitude Practice Mcq Questions IBPS Clerk 2024
Most Important Practice Mensuration aptitude multiple choice questions, answers with detailed solutions, PDF beginner to advanced for IBPS Clerk Prelims 2024
Continue Reading »