Type 5 Si On ‘n’ Years & ‘x/y ‘of Sum Practice Questions Answers Test With Solutions & More Shortcuts
SIMPLE INTEREST PRACTICE TEST [6 - EXERCISES]
Type 1 Basic Simple Interest Using Formula
Type 2 Increase Or Decrease In Interest Rate
Type 3 Money Multiples In ‘n’ Years
Type 4 Difference & Equality Of Si Rate & Years
Type 5 Si On ‘n’ Years & ‘x/y ‘of Sum
Type 6 Si With Ratios
Question : 1 [SSC CGL Tier-1 2011]
Simple interest on a certain sum for 6 years is $9/25$ of the sum. The rate of interest is
a) 6$1/2$%
b) 6%
c) 8$1/2$%
d) 8%
Answer »Answer: (b)
Rate = ${\text"SI" × 100}/\text"Principal × Time"$
= $9/25 × 100/6$ = 6% per annum
Using Rule 5,
Here, n = $9/25$, T = 6 years.
R = ${n × 100}/T$
R = $9/25 × 100/6$
R = 6%
Question : 2 [SSC CAPFs SI 2015]
A and B borrowed Rs. 3000 and Rs. 3200 respectively at the same rate of interest for 2$1/2$ years. If B paid Rs. 40 more interest than A, find the rate of interest.
a) 7%
b) 5%
c) 6%
d) 8%
Answer »Answer: (d)
Rate of interest = r % per annum
S.I. = ${\text"Principal × Rate × Time"/100$
According to the question,
${3200 × 5 × r}/{100 × 2} - {3000 × 5 × r}/200$ = 40
80r - 75r = 40
5r = 40 ⇒ r = $40/5$
= 8% per annum
Using Rule 13The difference between the S.I. for a certain sum $P_1$ deposited for time $T_1$ at $R_1$ rate of interest and another sum $P_2$ deposited for time $T_2$ at $R_2$ rate of interest isS.I. = ${P_2R_2T_2 - P_1R_1T_1}/100$
Here, $P_1 = Rs.3000, R_1 = R, T_1 = 5/2$ years
$P_2 = Rs.3200, R_2 = R, T_2 = 5/2$ years
Difference S.I. = Rs.40
40 = ${3200 × R × 5/2 - 3000 × R × 5/2}/100$
4000 = 8000 R - 7500 R
R = 8%
Question : 3 [SSC CGL Prelim 2002]
In what time will the simple interest be $2/5$ of the principal at 8 per cent per annum?
a) 7 years
b) 8 years
c) 6 years
d) 5 years
Answer »Answer: (d)
Let the principal be x
Interest = $2/5$ x
Rate = 8% per annum
Time = ${\text"Interest" × 100}/\text"Principal × Rate"$
=${{2/5}x × 100}/{x × 8} = 40/8$ = 5 years
Using Rule 5If Simple Interest (S.I.) becomes 'n' times of principal i.e.S.I. = P × n then.RT = n × 100
Here, n = $2/5$ and R = 8%
RT = (n × 100)
T = ${n × 100}/R$
T = $2/5 × 100/8$ = 5 years
Question : 4 [SSC CGL Tier-II 2015]
At the rate of simple interest per annum, the interest on a certain sum of money for 10 years will be $2/5$th part of the amount, then the rate of simple interest is
a) 6$2/3$%
b) 5%
c) 4$1/2$%
d) 7%
Answer »Answer: (a)
Amount after 10 years
= P$(1 + {RT}/100)$ = P$(1 + {R × 10}/100)$
= Rs. P$(1 + R/10)$
Interest = Rs.P$(1 + R/10) × 2/5$
Rate= ${\text"SI" × 100}/\text"Principal × Time"$
R = ${P(1 + R/10) × 2/5 × 100}/{P × 10}$
R = 4$(1 + R/10)$
$R/4 = 1 + R/10$
$R/4 - R/10$ = 1
${5R - 2R}/20$ = 1
3R = 20
R = $20/3 = 6{3}2%$
Using Rule 5,
Here, S.I. = $2/5$ amount
S.I. = $2/5$ (P + S.I.)
S.I. = $2/5$ S.I. + $2/5$ P
$3/5$ S.I. = $2/5$ P
S.I. = $2/3$P
Now, n = $2/3$, T = 10 years.
R= ${n × 100}/T$
= $2/3 × 100/10$
= $20/3 = 6{2}/3%$
Question : 5 [SSC CGL Prelim 2002]
The simple interest on a sum after 4 years is $1/5$ of the sum. The rate of interest per annum is
a) 5%
b) 4%
c) 8%
d) 6%
Answer »Answer: (a)
Let Prinicpal = Rs.100
S.I. = $100 × 1/5$ = Rs.20
Rate = ${20 × 100}/{100 × 4}$ = 5%
Using Rule 5,
Here, n = $1/5$, T = 4 years.
R = ${n × 100}/T$
R = $1/5 × 100/4$
R = 5%
IMPORTANT QUANTITATIVE APTITUDE 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 »
Type 5 Si On ‘n’ Years & ‘x/y ‘of Sum Shortcuts »
Click to Read...Type 5 Si On ‘n’ Years & ‘x/y ‘of Sum Online Quiz
Click to Start..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 …
QUANTITATIVE APTITUDE CATEGORIES
-
» Number System
-
» Average
-
» LCM & HCF
-
» Percentage
-
» Profit & Loss
-
» Time & Work
-
» Pipes & Cisterns
-
» Time & Distance
-
» Trains
-
» Compound Interest
-
» Simplification
-
» Discount
-
» Power
-
» Permutations & Combination
-
» Ratio & Proportion
-
» Advance Math
-
» Algebraic Expressions
-
» Trigonometric Ratios & Identities
-
» Simple Interest
-
» Alligation & Mixtures
-
» Boats & Streams
-
» Set Theory
-
» Linear Equations
-
» Quadratic Equations
-
» Mensuration
-
» Squareroots & Cuberoots
-
» Data Sufficiency
-
» Logarithm
-
» Probability
-
» Statistics
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Alphabet and Number Arrangement Aptitude Model Test SSC
Alphabet and Number Arrangement objective Questions with detailed answers, PDF. Aptitude 50+ Practice MCQ exercises for SSC, all competitive, Bank Exams
Continue Reading »
SSC Direction and Distance Sense MCQ Practice Exercise
Top Direction and Distance Sense objective questions with answers, PDF for SSC. 100+ Aptitude practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »
100+ Blood Relation Aptitude Test Online, PDF for SSC
Top Blood Relation objective questions with answers, download PDF for SSC. 100+ Aptitude online practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »
Top 100+ English Jumbled Sentences MCQ with PDF for RBI
Very important Jumbled Sentences questions with answers PDF for RBI. 100+ General English practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »