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

Question : 11 [SSC CGL Prelim 2004]

If the annual rate of simple interest increases from 10% to 12$1/2$% , a man's yearly income increases by Rs.1250. His principal (in rupees) is

a) 45,000

b) 50,000

c) 65,000

d) 60,000

Answer: (b)

Using Rule 1,

Change in SI

= $(25/2 - 10)% = 5/2%$

$5/2$% of principal = Rs.1250

Principal = Rs.${1250 × 2 × 100}/5$ = Rs.50000

Question : 12 [SSC CHSL 2014]

A sum of Rs. 800 amounts to Rs.920 in 3 years at the simple interest rate. If the rate is increased by 3% p.a., what will be the sum amount to in the same period ?

a) Rs.962

b) Rs.992

c) Rs.982

d) Rs.942

Answer: (b)

Using Rule 1,

Case I,

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

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

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

Case II,

Rate = 8% per annum

S.I. = ${800 × 8 × 3}/100$ = Rs.192

Amount = Principal + S.I.

= (800 + 192) = Rs.992

Question : 13 [SSC CPO S.I.2009]

A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs.72 more. The sum is

a) Rs.1,500

b) Rs.1,200

c) Rs.1,800

d) Rs.1,600

Answer: (b)

Let the sum = P and original rate = R% per annum.

Then, ${P × (R + 3) × 2}/100 - {P × R × 2}/100 = 72$

${P × 3 × 2}/100 = 72$

P = ${72 × 100}/{3 × 2}$ = Rs.1200

Using Rule 13
The difference between the S.I. for a certain sum $P_1$ deposited for time $T_1$ at $R_1$ rate of interest and another sum $P_2$ deposited for time $T_2$ at $R_2$ rate of interest is
S.I. = ${P_2R_2T_2 - P_1R_1T_1}/100$

$P_1 = P, R_1 = R, T_1$ = 2

$P_2 = P, R_2 = R + 3, T_2$ = 2

S.I.= 72

72 = ${P × (R + 3) × 2 - P × R × 2}/100$

7200 = 6P

P = Rs.1200

Question : 14 [SSC CHSL 2012]

A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs.48. What is his capital ?

a) Rs.25,000

b) Rs.24,000

c) Rs.18,000

d) Rs.20,000

Answer: (d)

If the capital after tax deduction be x, then

x × (4 - 3.75) % = 48

${x × 0.25}/100$ = 48

${x × 25}/10000$ = 48

$x/400$ = 48

x = 48 × 400 = Rs.19200

Required capital

= ${19200 × 100}/96$ = Rs.20000

IMPORTANT quantitative aptitude EXERCISES

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