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 799+ Simple Interest Aptitude Questions Answers 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) 8 : 5
(b) 5 : 8
(c) 16 : 15
(d) 31 : 6
The correct answers to the above question in:
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
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Read more si with ratios Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4 : 5. After 3 years, with the same rate of interest, the ratio of the principal and amount becomes 5 : 7. The rate of interest is
a) 6%
b) 4%
c) 7%
d) 5%
Answer »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%
Question : 4
Rs.12,000 is divided into two parts so that the simple interest on the first part for 3 years at 12% per annum may be equal to the simple interest on the second part for 4$1/2$ years at 16% per annum. The ratio of the first part to the second part is
a) 1 : 2
b) 2 : 1
c) 3 : 2
d) 2 : 3
Answer »Answer: (b)
Using Rule 1,
First part = Rs. x and second part
= (12000 - x )
${x × 3 × 12}/100 = {(12000 - x) × 9 × 16}/200$
$x/{12000 - x} = {9 × 16 × 100}/{3 × 12 × 200}$
= $2/1$ = 2 : 1
Question : 5
A person borrows some money for 5 years and loan amount : total interest amount is 5 : 2. The ratio of loan amount : interest rate is equal to :
a) 2 : 1
b) 2 : 25
c) 25 : 2
d) 5 : 2
Answer »Answer: (c)
Required ratio = 5 : $2/5$ = 25 : 2
$\text"loan amount"/ \text"Interest amount" = 5/2$
Interest rate = $2/5$
[Since, ${P + I}/I = 5/2 ⇒ P/I + I = 5/2$
⇒ $P/I = 3/2, then I = 2/5$]
$ \text"loan amount"/ \text"Interest rate"$
= $5/{2/5}= 25/2$ or 25 : 2
Question : 6
A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352, the sum lent at 8% is
a) Rs.2200
b) Rs.2900
c) Rs.3100
d) Rs.2400
Answer »Answer: (d)
Principal lent at 8% S.I. = Rs.x.
Principal lent at 10% S.I. = Rs.(4000 - x)
S.I. = $\text"Principal × Time × Rate"/100$
${x × 8}/100 + {(4000 - x) × 10}/100$ = 352
8x + 40000 - 10x = 35200
2x = 40000 - 35200 = 4800
x = $4800/2$ = Rs.2400
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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