type 2 increase or decrease in interest rate 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 MTS 2013]
A sum was lent at simple interest at a certain rate for 2 years. Had it been lent at 3% higher rate, it would have fetched Rs.300 more. The original sum of money was :
a) Rs.6000
b) Rs.5000
c) Rs.4000
d) Rs.7000
Answer »Answer: (b)
If the principal be x, then
${x × 3 × 2}/100 = 300$
$x = {300 × 100}/{3 × 2}$ = Rs.5000
Using Rule 13.
$P_1 = P, R_1 = R, T_1$ = 2.
$P_2 = P, R_2 = R + 3, T_2$ = 2.
S.I.= Rs.300
300 = ${P × (R + 3) × 2 - PR2}/100$
300 = ${6P}/100$ = Rs.5000
Question : 2 [SSC CHSL 2010]
A sum of money was invested at a certain rate of simple interest for 2 years . Had it been invested at 1% higher rate, it would have fetched Rs.24 more interest. The sum of money is :
a) Rs.1050
b) Rs.1200
c) Rs.9600
d) Rs.1000
Answer »Answer: (b)
${P × 1 × 2}/100 = 24$
P = $2400/2$ = Rs.1200
Using Rule 13,
$P_1 = P, R_1 = R, T_1$ = 2.
$P_2 = P, R_2 = R + 1, T_2$ = 2
S.I.= Rs. 24
24 = ${P(R +1)2 - PR2}/100$
2400 = 2PR + 2P - 2PR
P = Rs.1200
Question : 3 [SSC Constable (GD) 2015]
A sum of 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 the same sum become in 3 years ?
a) RS. 1042
b) Rs. 1025
c) Rs. 1024
d) Rs. 1052
Answer »Answer: (d)
Using Rule 1,
S.I. = 956 - 800 = Rs. 156
Rate = ${\text"S.I." × 100}/\text" Principal × Time"$
= ${156 × 100}/{800 × 3}$ = 6.5%
New rate = (6.5 + 4)% = 10.5%
S.I. = ${\text"Principal × Time × Rate"/100$
= ${800 × 3 × 10.5}/100$ = Rs. 252
Amount = Rs.(800 + 252) = Rs.1052
Question : 4
A sum of Rs.400 amounts to Rs.480 in 4 years. What will it amount to if the rate of interest is increased by 2%?
a) Rs.560
b) Rs.484
c) None of these
d) Rs.512
Answer »Answer: (d)
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
Interest = Rs.(480–400) = Rs.80
80 = ${400 × r × 4}/100$ ⇒ r = 5
Now, r = 7% (2% increase)
S.I. = ${400 × 7 × 4}/100$ = 112
Amount = Rs.(400+112) = Rs.512
Question : 5 [SSC CHSL 2015]
The rate of simple interest per annum of bank being decreased from 5% to 3$1/2$%, the annual income of a person from interest was less by Rs. 105. The sum deposited at the bank was
a) Rs.7,200
b) Rs.6,000
c) Rs.7,000
d) Rs.6,800
Answer »Answer: (c)
Using Rule 1,
Amount deposited in bank = Rs.x (let)
Difference of rates
= 5 - $7/2 = 3/2%$ per annum
S.I. = ${\text"Principal × Time × Rate"/100$
${x × 1 × 3}/{100 × 2}$ = 105
$x = {105 × 200}/3$ = Rs.7000
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type 2 increase or decrease in interest rate Shortcuts »
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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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