type 6 si with ratios 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 : 6 [SSC CGL Prelim 2002]
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
Question : 7 [SSC FCI Asst Grade-III 2012]
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 : 8 [SSC SO 2006]
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 : 9 [SSC CGL Prelim 2007]
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 : 10 [SSC CHSL 2015]
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
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type 6 si with ratios Shortcuts »
Click to Read...type 6 si with ratios Online Quiz
Click to Start..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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