type 2 increase or decrease in interest rate Practice Questions Answers Test with Solutions & More Shortcuts

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: (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: (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: (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: (d)

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

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: (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

IMPORTANT quantitative aptitude EXERCISES

type 2 increase or decrease in interest rate Shortcuts »

Click to Read...

type 2 increase or decrease in interest rate Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »

IBPS Profit and Loss Questions Solved Problems with PDF

Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams

28-Jun-2024 by Careericons

Continue Reading »

100+ Average Aptitude Questions Answers solutions MCQ PDF

New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams

28-Jun-2024 by Careericons

Continue Reading »