type 4 difference & equality of si rate & years Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
-
Top 999+ Basic Simple Interest MCQ for BANK SSC UPSC Exam »
-
New 899+ Simple Interest Questions For BANK & IBPS Exams »
-
Top 799+ Simple Interest Aptitude Questions Answers Test »
-
Top 999+ Aptitude Simple Interest MCQ: SSC Practice Test »
-
Top 799+ Simple Interest Question and Answer Test for SSC »
-
New 750+ Simple Interest MCQ with Ratios For All BANK SSC »
The following question based on simple interest topic of quantitative aptitude
(a) 65
(b) 60
(c) 40
(d) 70
The correct answers to the above question in:
Answer: (b)
Using Rule 1,
Let first part be x and second part be(1750 –x )
According to the question,
x × $8/100 = (1750 - x ) × 6/100$
8x + 6x = 1750 × 6
14x = 1750 × 6
$x = {1750 × 6}/14$ = Rs.750
Interest = 8% of 750
= 750 × $8/100 = Rs.60
Discuss Form
Read more difference equality in si rate years Based Quantitative Aptitude Questions and Answers
Question : 1
Equal sum of money are lent to X and Y at 7.5% per annum for a period of 4 years and 5 years respectively. If the difference in interest, paid by them was Rs.150, the sum lent to each was
a) Rs.1000
b) Rs.500
c) Rs.3000
d) Rs.2000
Answer »Answer: (d)
Let the sum lent be x.
${x × 7.5 × 5}/100 - {x × 7.5 × 4}/100 = 150$
${x × 7.5 × 1}/100$ = 150
$x = {150 × 100}/{7.5}$ = Rs.2000
Using Rule 13,
Here, $P_1 = P, R_1 = 7.5%, T_1$ = 4 years.
$P_2 = P, R_2 = 7.5%, T_2$ = 5 years.
S.I. = Rs.150
S.I. = ${P_2R_2T_2 - P_1R_1T_1}/100$
150 = ${P × 7.5 × 5 - P × 7.5 × 4}/100$
15000 = 7.5P
P = $15000/{7.5}$
P = $150000/75$ = Rs.2000
Question : 2
In how many years will the simple interest on a sum of money be equal to the principal at the rate of 16$2/3$% per annum ?
a) 5 years
b) 4 years
c) 8 years
d) 6 years
Answer »Answer: (d)
Using Rule 1,
Let the principal be x.
Time = $\text"SI × 100"/\text"Principal × Rate"$
= ${x × 100 × 3}/{x × 50}$ = 6 years
Question : 3
The difference between simple interest and the true discount on Rs. 2400 due 4 years hence at 5% per annum simple interest is
a) Rs.70
b) Rs.30
c) Rs.50
d) Rs.80
Answer »Answer: (d)
Using Rule 1,
True discount
= $\text"Amount × Rate × Time"/ \text"100 +(Rate × Time)"$
= ${2400 × 5 × 4}/{100 + (5 × 4)}$
= ${2400 × 5 × 4}/120$ = Rs.400
S.I. = ${2400 × 5 × 4}/100$ = Rs.480
Required difference
= Rs.(480 - 400) = Rs.80
Question : 4
The simple interest on a sum of money is $1/4$th of the principal and the number of years is equal to rate per cent per annum. The rate per cent is
a) 5%
b) 2.5%
c) 10%
d) 7.5%
Answer »Answer: (a)
Let the principal be x and rate be y% per annum.
According to the question,
SI = ${P × R × T}/100$
$x/4 = {x × y × y}/100$
$y^2 = 100/4$ = 25
y = $√{25}$ = 5% per annum
Using Rule 5,
n = $1/5$, R = T
RT = n × 100
$R^2 = 1/4 × 100$ = 25
R = 5%
Question : 5
The simple interest on a sum of money is $1/9$ of the principal and the number of years is equal to rate per cent per annum. The rate per annum is
a) $1/3$%
b) 3%
c) $3/10$%
d) 3$1/3$%
Answer »Answer: (d)
$\text"Simple interest"/ \text"Principal" = 1/9$
If the annual rate of interest be r%, then
Rate = $\text"S.I. × 100"/ \text"Principal × Time"$
$r = 1/9 × 100/r$
$r^2 = 100/9$
r = $√{100/9} = 10/3 = 3{1}/3$%
Using Rule 5,
Here, n = $1/9$, R = T
RT = n × 100
$R^2 = 1/9 × 100 = 100/9$
R = $√{100/9} = 10/3 = 3{1}/3$%
Question : 6
The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is:
a) 0.2%
b) 0.1%
c) 0.4%
d) 0.3%
Answer »Answer: (d)
Let $r_1$, and $r_2$ be the required rate of interest
Then, ${13.50} = {1500 × 3 × r_1}/100$
– ${1500 × 3 × r_2}/100 = 4500/100(r_1 - r_2)$
$r_1 - r_2 = 135/450 = 27/90$
= $3/10$ = 0.3%
Using Rule 13,
$P_1 = Rs.1500, R_1 , T_1$ = 3 years.
$P_2 = Rs.1500, R_2 , T_2$ = 3 years.
S.I. = Rs.13.50
13.50 = ${1500 × R_2 × 3 - 1500 × R_1 × 3}/100$
$1350/100 = {4500(R_2 - R_1)}/100$
$R_2 - R_1 = 1350/4500 = 27/90$
= $3/10$ = 0.3%
simple interest Shortcuts and Techniques with Examples
-
type 1 basic simple interest using formula
Defination & Shortcuts … -
type 2 increase or decrease in interest rate
Defination & Shortcuts … -
type 3 money multiples in ‘n’ years
Defination & Shortcuts … -
type 4 difference & equality of si rate & years
Defination & Shortcuts … -
type 5 si on ‘n’ years & ‘x/y ‘of sum
Defination & Shortcuts … -
type 6 si with ratios
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
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
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 »