type 6 si with ratios 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) 6%
(b) 4%
(c) 7%
(d) 5%
The correct answers to the above question in:
Answer: (d)
Using Rule 1,
Case-I,
Interest = 5x - 4x = x
$x = {4x × R × T}/100$
T = $25/R$ years
Case-II,
T = $25/R + 3 = ({25 + 3R}/R)$ years
SI = 7 y - 5y = 2y
$2y = {5y × R × (25 + 3R)}/{R × 100}$
40 = 25 + 3R
3R = 40 –25 = 15 %
R = $15/3$ = 5%
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Read more si with ratios Based Quantitative Aptitude Questions and Answers
Question : 1
If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
a) 6%
b) 5%
c) 3%
d) 8%
Answer »Answer: (a)
Using Rule 1,
$\text"Principal"/ \text"Interest" = 10/3$
$\text"Interest"/ \text"Principal" = 3/10$
Rate = $\text"S.I. × 100"/ \text"Principal × Time"$
= $3/10 × 100/5$ = 6% per annum
Question : 2
If ratio of principal and simple interest for 1 year is 25 : 1, then the rate of interest is
a) 25%
b) 4%
c) 20%
d) 5%
Answer »Answer: (b)
Using Rule 1,
Principal : Interest = 25 : 1
Interest : Principal = 1 : 25
Rate = $\text"S.I. × 100"/ \text"Principal × Time"$
= $1/25$ × 100 = 4% per annum
Question : 3
A person invests money in three different schemes for 6 years, 10 years and 12 years at 10 per cent, 12 per cent and 15 per cent simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is
a) 2 : 3 : 4
b) 6 : 3 : 2
c) 3 : 4 : 2
d) 3 : 4 : 6
Answer »Answer: (b)
Using Rule 1,
P1 : P2 : P3 = $1/{r_1t_1} : 1/{r_2t_2} : 1/{r_3t_3}$
= $1/{6 × 10} : 1/{10 × 12} : 1/{12 × 15}$
= $1/60 : 1/120 : 1/180$ = 6 : 3 : 2
Question : 4
Ratio of the principal and the amount after 1 year is 10:12. Then the rate of interest per annum is :
a) 16%
b) 12%
c) 20%
d) 18%
Answer »Answer: (c)
Using Rule 1,
$\text"Principal"/\text"Amount" = 10/12$
$\text"Amount"/ \text"Principal" = \text"Principal + interest"/ \text"Principal" = 12/10$
1 + $\text"Interest"/ \text"Principal" = 12/10$
$\text"Interest"/ \text"Principal" = 2/10 = 1/5$
Rate = $1/5$ × 100 = 20%
Question : 5
A sum of Rs.1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs.300. The ratio of money lent at 5% to that at 8% is :
a) 8 : 5
b) 5 : 8
c) 16 : 15
d) 31 : 6
Answer »Answer: (c)
Using Rule 1Simple Interest (S.I.)= ${\text"Principal × Rate × Time"/100$ orS.I. = ${\text"P × R × T"/100$P = ${\text"S.I." × 100}/\text"R × T"$, R = ${\text"S.I." × 100}/\text"P × T"$, T = ${\text"S.I." × 100}/\text"P × R"$ A = P + S.I. or S.I. = A - P
Let the sum lent at the rate of interest 5% per annum is x and at the rate of interest 8% per annum is (1550 - x)
According to the question,
${x × 5 × 3}/100 + {(1550 - x) × 8 × 3}/100$ = 300
${15x}/100 + {37200 - 24x}/100$ = 300
15x + 37200 - 24x = 300 × 100
9x = 7200
x = Rs.800 and,
1550 - x = 1550 - 800 = Rs.750
Ratio of money lent at 5% to that at 8%
= 800 : 750 = 16 : 15
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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