type 1 basic simple interest using formula Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CPO S.I.2003]

What sum will amount to Rs.7000 in 5 years at 3$1/3$% simple interest ?

a) Rs.6500

b) Rs.6300

c) Rs.5000

d) Rs.6000

Answer: (d)

Using Rule 1,

P = ${A × 100}/{100 + r × t}$

=${7000 × 100}/{100 + 10/3 × 5}$

= ${7000 × 100 × 3}/350$ = Rs.6000

Question : 22 [SSC CPO S.I.2005]

If the simple interest on a certain sum of money for 15 months at 7$1/2$% per annum exceeds the simple interest on the same sum for 8 months at 12$1/2$% per annum by Rs.32.50, then the sum of money (in ) is :

a) 312.50

b) 312

c) 3120.50

d) 3120

Answer: (d)

Using Rule 1,

Let the sum be x.

Using formula, I = $\text"PRT"/100$ we have

${x × 15/12 × 15/2}/{100 - x} - {x × 8/12 × 25/2}/100$

= 32.50

${25x}/2400$ = 32.50

$x = {32.50 × 2400}/25$ = 3120

Required sum = Rs.3120

Question : 23 [SSC CGL Prelim 2007]

A person deposited Rs.400 for 2 years, Rs.550 for 4 years and Rs.1,200 for 6 years. He received the total simple interest of Rs.1,020. The rate of interest per annum is

a) 5%

b) 10%

c) 20%

d) 15%

Answer: (b)

Using Rule 1,

Let the rate of interest be R per cent per annum.

${400 × 2 × R}/100 + {550 × 4 × R}/100$

+ ${1200 × 6 × R}/100 = 1020$

8R + 22 R +72 R = 1020

102 R= 1020

R = $1020/102$ = 10%

Question : 24 [SSC CGL Prelim 2007]

Manoj deposited Rs.29400 for 6 years at a simple interest. He got Rs.4200 as interest after 6 years. The annual rate of interest was

a) 2$7/20$%

b) 2$8/21$%

c) 4$8/21$%

d) 3$8/21$%

Answer: (b)

Using Rule 1,

4200 = ${29400 × 6 × R}/100$

R = $4200/{294 × 6} = 50/21 = 2{8}/21$%

Question : 25 [SSC CGL Prelim 2003]

What sum of money will amount to Rs.520 in 5 years and to Rs.568 in 7 years at simple interest ?

a) Rs.120

b) Rs.400

c) Rs.220

d) Rs.510

Answer: (b)

Simple interest for 2 years

= Rs.(568 - 520) = Rs.48

Interest for 5 years

= Rs.$48/2 × 5$ = Rs.120

Principal = Rs.(520 - 120) = Rs.400

Using Rule 12,

P = $({A_2T_1 - A_1T_2}/{T_1 - T_2})$

=$({568 × 5 - 520 × 7}/{5 - 7})$

= $({2840 - 3640}/{-2})$

=${- 800}/{- 2}$ = Rs.400

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