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

Question : 6 [SSC CGL Prelim 2003]

A man loses Rs.55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is

a) 7400

b) 3700

c) 11100

d) 8325

Answer: (b)

Using Rule 1,

Let his capital be x.

According to the question,

${x × 11.5}/100 - {x × 10}/100$ = 55.50

or (11.5 - 10)x = 5550

or 1.5x = 5550

or $x = 5550/{1.5}$ = Rs.3700

Question : 7 [SSC MTS 2013]

A sum of Rs.2,400 amounts to Rs.3,264 in 4 years at a certain rate of simple interest. If the rate of interest is increased by 1%, the same sum in the same time would amount to

a) Rs.3,312

b) Rs.3,288

c) Rs.3,360

d) Rs.3,340

Answer: (c)

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

S.I. = 3264 - 2400 = Rs.864

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

= ${864 × 100}/{2400 × 4}$ = 9% per annum

New rate = 10% per annum

S.I. = ${2400 × 10 × 4}/100$ = Rs.960

Amount = 2400 + 960 = Rs.3360

Question : 8 [SSC CHSL 2010]

A sum of money was lent at simple interest at a certain rate for 3 years. Had it been lent at 2.5% per annum higher rate, it would have fetched Rs.540 more. The money lent was :

a) Rs.6472

b) Rs.6400

c) Rs.7200

d) Rs.6840

Answer: (c)

If the sum lent be Rs. x, then

${x × 2.5 × 3}/100 = 540$

$x = {540 × 100}/{2.5 × 3}$ = Rs.7200

Using Rule 13,

$P_1 = P, R_1 = R, T_1$ = 3

$P_2 = P, R_2 = R + 2.5%, T_2$ = 3

S.I. = Rs.540

540 = ${P × (R + 2.5%) × 3 - P × R × 3}/100$

54000 = 7.5P

P = $540000/75$

P = Rs.7200

Question : 9 [SSC CHSL 2014]

The amount Rs.2,100 became Rs.2,352 in 2 years at simple interest. If the interest rate is decreased by 1%, what is the new interest ?

a) Rs.220

b) Rs.210

c) Rs.252

d) Rs.242

Answer: (b)

Using Rule 1,

S.I. = 2352 - 2100 = Rs.252

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

= ${252 × 100}/{2100 × 2}$ = 6% per annum

New rate = 5%

S.I. = ${252 × 5}/6$ = Rs.210

Question : 10 [SSC CAPFs SI 2014]

Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest rate is increased by 3%, it would amount to

a) Rs.1,112

b) Rs.1,056

c) Rs.992

d) Rs.1,182

Answer: (c)

Using Rule 1,

S.I. = Rs.(920 - 800) = Rs.120

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

= ${120 × 100}/{800 × 3}$ = 5% per annum

New rate = 8% per annum

S.I. = ${800 × 3 × 8}/100$ = Rs.192

Amount = (800 + 192) = Rs.992

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