type 3 money multiples in ‘n’ years 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-II 2015]
The simple interest on a sum of money is $8/25$ of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is
a) 8
b) 5
c) 4
d) 6$1/4$
Answer »Answer: (a)
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
Rate = R% per annum
Time = $R/2$ years
Rate = ${SI × 100}/\text"Principal × Time"$
R = $8/25 × 100/{R/2}$
$R^2 = {8 × 200}/25$ = 64
R = $√{64}$ = 8% per annum
Question : 2 [SSC CPO SI 2016]
A certain sum doubles in 7 years at simple interest. The same sum under the same interest rate will become 4 times in how many years.
a) 28
b) 14
c) 10
d) 21
Answer »Answer: (d)
Case I,
Interest = Principal
Rate = ${Interest × 100}/\text"Principal × Time"$
= $100/7%$ per annum
Case II,
Interest = 3 × Principal
Time = ${Interest × 100}/\text"Principal × Time"$
= ${3 × 100}/{100/7}$ = 3 × 7 = 21 years
Question : 3 [SSC CGL Tier-I 2016]
At what per cent of simple interest will a sum of money double itself in 15 years?
a) 6$2/3$%
b) 6$1/3$%
c) 6%
d) 6$1/2$%
Answer »Answer: (a)
Let principal be Rs.x.
Amount = Rs.2x
Interest = Rs.(2x - x) = Rs.x
Rate = ${S.I. × 100}/\text"Principal × Time"$
= ${x × 100}/{x × 15} = 20/3$
= 6$2/3%$ per annum
Question : 4 [SSC CGL Prelim 2008]
A sum of money at a certain rate per annum of simple interest doubles in the 5 years and at a different rate becomes three times in 12 years. The lower rate of interest per annum is
a) 20%
b) 15%
c) 16$2/3$%
d) 15$3/4$%
Answer »Answer: (c)
The sum gets doubled in 5 years and tripled in 12 years.
Clearly rate of interest for 12 years will be lower.
Let Principal be x.
then, Rate = ${SI × 100}/\text"Principal × Time"$
= ${2x × 100}/{x × 12} = 50/3 = 16{2}/3%$
Using Rule 3,
$R_1 = {(2 - 1)}/5 × 100%$ = 20%
$R_2 = {(3 - 1)}/12 × 100% = 16{2}/3%$
Lower rate of interest =16$2/3%$
Question : 5 [SSC CGL Tier-I 2016]
The rate of simple interest for which a sum of money becomes 5 times of itself in 8 years is :
a) 40%
b) 30%
c) 55%
d) 50%
Answer »Answer: (d)
Principal = Rs.x (let)
Amount = Rs.5x
Interest = Rs.(5x - x) = Rs.4x
Rate = ${S.I. × 100}/\text"Principal × Time"$
= ${4x × 100}/{x × 8}$ = 50% per annum
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type 3 money multiples in ‘n’ years Shortcuts »
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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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