type 3 money multiples in ‘n’ years Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
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The following question based on simple interest topic of quantitative aptitude
(a) 7.5%
(b) 16$2/3$%
(c) 10%
(d) 8$1/3$%
The correct answers to the above question in:
Answer: (d)
Let the principal be x.
Amount = 2x
Interest = (2x - x) = x
Rate = ${S.I. × 100}/\text"Principal × Time"$
= ${x × 100}/{x × 12} = 25/3 = 8{1}/3%$
Using Rule 3,
R = ${(2 - 1)}/12 × 100%$
R = $25/3% = 8{1}/3$%
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Read more money multiples in n years Based Quantitative Aptitude Questions and Answers
Question : 1
At a certain rate of simple interest, a certain sum of money becomes double of itself in 10 years. It will become treble of itself in
a) 18 years
b) 15 years
c) 30 years
d) 20 years
Answer »Answer: (d)
If principal be x, interest = x
and rate = r% p.a. then
Rate = ${SI × 100}/\text"Principal × Time"$
= ${x × 100}/{x × 10}$ = 10%
Now, p = x, interest = 2x
Then, time = ${SI × 100}/\text"Principal × Rate"$
= ${2x × 100}/{x × 10}$ = 20 years
Using Rule 3,
R = ${(2 - 1)}/10$ × 100%
R = 10%
T = ${(n - 1)}/R × 100$ years
= ${3 - 1}/10 × 100$ = 20 years.
Question : 2
A sum doubles itself in 16 years, then in how many years will it triple itself; rate of interest being simple
a) 32 years
b) 25 years
c) 64 years
d) 48 years
Answer »Answer: (a)
Case I
Principal = Rs. x
Interest = Rs. x
Rate = ${SI × 100}/\text"Principal × Time"$
= ${x × 100}/{x × 16} = 25/4%$ per annum
Case II
Interest = Rs. 2x
Time = ${SI × 100}/\text"Principal × Rate"$
= ${2x × 100 × 4}/{x × 25}$ = 32 years
Using Rule 3,
R = ${(n - 1)}/T × 100%$
= ${(2 - 1)}/16 × 100%$
= $25/4 % = 6{1}/4%$
Now, T = ${(n - 1)}/R × 100%$
= ${(3 - 1)}/{25/4} × 100$
= $800/25$ = 32 years.
Question : 3
At what rate of simple interest per annum will a sum become $7/4$ of itself in 4 years ?
a) 18$1/4$%
b) 18%
c) 18$1/2$%
d) 18$3/4$%
Answer »Answer: (d)
Let the principal be x
Principal + SI = ${7x}/4$
SI = ${7x}/4 - x = {3x}/4$
Rate = ${SI × 100}/\text"Principal × Time"$
= ${3x × 100}/{4 × x × 4} = 18{3}/4%$
Using Rule 3,
R = ${(7/4 - 1)}/4 × 100%$
= $3/16$ × 100%
= $75/4% = 18{3}/4%$
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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