type 1 basic simple interest using formula Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on simple interest topic of quantitative aptitude

Questions : The sum of money, that will give Rs.1 as interest per day at the rate of 5% per annum simple interest is

(a) Rs.36500

(b) Rs.3650

(c) Rs.7300

(d) Rs.730

The correct answers to the above question in:

Answer: (c)

Using Rule 1,

The sum of money will give Rs.365 as simple interest in a year.

S.I. = $\text"PRT"/100$

365 = ${P × 5 × 1}/100$

P = ${365 × 100}/5$ = Rs.7300

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Read more basic problems using formula Based Quantitative Aptitude Questions and Answers

Question : 1

Rs.800 becomes Rs.956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will 800 become in 3 years ?

a) Rs.1025

b) Rs.1020.80

c) Rs.1050

d) Rs.1052

Answer: (d)

Using Rule 1,

S.I. = 956 - 800 = Rs.156

Rate = ${S.I. × 100}/{Principal × Time}$

= ${156 × 100}/{800 × 3}$ = 6.5% per annum

New rate = 10.5%

S.I. = ${\text"Principal × Rate × Time"/100$

= ${800 × 3 × 10.5}/100$ = Rs.252

Amount = 800 + 252 = Rs.1052

Question : 2

A money lender finds that due to fall in the annual rate of interest 8% to 7$3/4$% , his yearly income diminishes by Rs.61.50. His capital is

a) Rs.23800

b) Rs.22400

c) Rs.26000

d) Rs.24600

Answer: (d)

Difference in rate

= $(8 - 7{3}/4)% = 1/4$%

Let the capital be Rs.x.

$1/4$% of x = 61.50

x = 61.50 × 100 × 4 = Rs.24600

Question : 3

What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs.150 interest?

a) Rs.7500

b) Rs.5000

c) Rs.15000

d) Rs.10000

Answer: (a)

Using Rule 1
Simple Interest (S.I.)= ${\text"Principal × Rate × Time"/100$ or
S.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

P = ${150 × 100}/4 × 2/1$ = Rs.7500

Question : 4

In what time will Rs.72 become Rs.81 at 6$1/4$% per annum simple interest ?

a) 3 years

b) 2 years

c) None of these

d) 2 years 6 months

Answer: (b)

Using Rule 1,

Interest = Rs.(81–72)= Rs.9

Let the time be t years.

Then, 9 = ${72 × 25 × t}/{4 × 100}$

t = ${9 × 400}/{72 × 25}$ = 2 years.

Question : 5

A man took a loan from a bank at the rate of 12% per annum at simple interest. After 3 years he had to pay Rs.5,400 as interest only for the period. The principal amount borrowed by him was :

a) Rs.10,000

b) Rs.2,000

c) Rs.15,000

d) Rs.20,000

Answer: (c)

Using Rule 1,

Let the principal be x.

S.I. = ${\text"Principal × Rate × Time"/100$

5400 = ${x × 12 × 3}/100$

$x = {5400 × 100}/{12 × 3}$ = Rs.15000

Question : 6

A sum of Rs.1600 gives a simple interest of Rs.252 in 2 years and 3 months. The rate of interest per annum is:

a) 8%

b) 5$1/2$%

c) 6%

d) 7%

Answer: (d)

Using Rule 1,

Principal (P) = Rs.1600

T = 2 years 3 months

= $(2 + 3/12) yrs. = (2 + 1/4) yrs. = 9/4 yrs.$

S.I = Rs.252

R = % rate of interest per annum

R = ${100 × S.I.}/{P × t}$

= ${100 × 252}/{1600 × 9/4}$

Rate of interest = 7% per annum.

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