type 4 difference & equality of si rate & years Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
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Top 999+ Basic Simple Interest MCQ for BANK SSC UPSC Exam »
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New 899+ Simple Interest Questions For BANK & IBPS Exams »
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Top 799+ Simple Interest Aptitude Questions Answers Test »
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Top 999+ Aptitude Simple Interest MCQ: SSC Practice Test »
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Top 799+ Simple Interest Question and Answer Test for SSC »
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New 750+ Simple Interest MCQ with Ratios For All BANK SSC »
The following question based on simple interest topic of quantitative aptitude
(a) 5 years
(b) 4 years
(c) 8 years
(d) 6 years
The correct answers to the above question in:
Answer: (d)
Using Rule 1,
Let the principal be x.
Time = $\text"SI × 100"/\text"Principal × Rate"$
= ${x × 100 × 3}/{x × 50}$ = 6 years
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Read more difference equality in si rate years Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
A sum of Rs.1500 is lent out in two parts in such a way that the simple interest on one part at 10% per annum for 5 years is equal to that on another part at 12.5% per annum for 4 years. The sum lent out at 12.5% is :
a) Rs.1000
b) Rs.500
c) Rs.1250
d) Rs.750
Answer »Answer: (d)
Using Rule 1,
Let the sum lent out at 12.5% be x
Sum lent out at 10% = 1500 - x
Now, ${(1500 - x) × 10 × 5}/100$
= ${x × 12.5 × 4}/100$
50 (1500 - x ) = 50x
2x = 1500
$x = 1500/2$ = Rs.750
Question : 3
Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case ?
a) Rs.1800
b) Rs.1700
c) Rs.2000
d) Rs.1900
Answer »Answer: (c)
Using Rule 1,
Let the sum lent in each case be x.
Then, ${x × 9 × 2}/100 + {x × 10 × 2}/100$ = 760
${x × 2}/100$(9 + 10) = 760
${2 × 19x}/100$ = 760
$x = {760 × 100}/{2 × 19}$ = Rs.2000
Question : 4
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 : 5
A sum of Rs.1750 is divided into two parts such that the interests on the first part at 8% simple interest per annum and that on the other part at 6% simple interest per annum are equal. The interest on each part (In rupees) is
a) 65
b) 60
c) 40
d) 70
Answer »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
Question : 6
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%
simple interest Shortcuts and Techniques with Examples
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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 …
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