Dear Readers, Here we have given from Aptitude Questions for Railway Exam. Candidates those who are all preparing for these exams can use this material.

**1).What will be the difference between SI and CI on a sum of Rs.1500 for two years at the same rate of interest of 12(1/2) % per annum?**

a) Rs.234.375

b) Rs.230.550

c) Rs.250.129

d) Rs.324.357

**2).The simple interest on a sum for 5 yr is one-fourth of the sum. The rate of interest per annum is**

a) 5%

b) 6%

c) 4%

d) 8%

**3).If the simple interest on a certain sum of money for 3 yr is Rs.225 and the compound interest on the same sum at the same rate for 2 yr is Rs.153, then the principle invested (in Rs) is**

a) 3000

b) 1875

c) 1500

d) 2250

**4). The compound interest on Rs 30000 at 7% per annum for a certain time is Rs.4347. The time is?**

a) 2 yr

b) 2.5 yr

c) 3 yr

d) 4 yr

**5).A and B deposited together Rs.2000 in a bank at a rate of 5%. After 3 and 4 yr, A and B get equal amounts. what**

**is the share of A ?**

a) Rs 1034

b) Rs 1054

c) Rs 1084

d) Rs 1024

**6).A tape recorder is sold for Rs 3500 cash, or Rs 1000 cash down payment and the balance in three equal easy installments. If 12(1/2)% is the rate of interest compounded annually, find the amount of installment.**

a) Rs 1050.65

b) Rs.1049.83

c) Rs.1000.35

d) Rs.1100.45

**7).If the compound interest on a certain sum for two consecutive years is Rs 220 and Rs 242, then the rate of interest per annum is**

a) 8%

b) 10%

c) 11%

d) 12%

**8).If the amount is 2.25 times of the sum after 2 yr at compound interest (Compound annually), the rate of interest per annum is**

a) 25%

b) 30%

c) 45%

d) 50%

**9).A person borrows Rs.5000 for 2yr at 4% per annum single interest. He immediately lends to another person at 6 (1/4)% per annum for 2 yr. His gain in the transaction per year is**

a) Rs 112.50

b) Rs 450.00

c) Rs 244.53

d) Rs 150.00

**10).A, B and C enter into a partnership. A initially invests Rs 25 Lac and adds another Rs 10 Lac after one year B initially invests Rs 35 Lac and withdraws Rs 10 Lac after 2 yr and C invests Rs 30 Lac. In what ratio should the profits be divided at the end of three years?**

a) 20 : 19 : 18

b) 10 : 10 : 9

c) 20 : 20 : 19

d) 19 : 19 :18

__Answers__**:**

1). a) 2). a) 3). b) 4). a) 5). d) 6). b) 7). b) 8). d) 9). a) 10). d)

**Detailed Explanation:**

1). :. Required difference

=15000(25 / [2 * 100])2 =15000 / 64

= Rs 234.375

**Answer: a)**

2). Simple interest = [principle * Rate * Time] / 100

:. X / 4 = [x * r * 5] / 100

➾ r = 100 / [4 * 50]

➾ r = 5 %

**Answer: a)**

3). Let the principle be Rs P.

Rate of interest = R%

Using formula of simple interest SI = [P * R * T] / 100

225 = [P * R * 3] / 100

[225 * 100] / 3 = P * R

P * 7500 ➾R = 7500 / P

Now, using formula of Amount for Compound Interest

CI = P[(1 +(R / 100))2 – 1]

Putting value of CI and R calculated above

153 = P [(1 + (7500/ P * 100))2 – 1 ]

[153 / P] + 1= [(P + 75) / P] 2

[153 + P] / P = [(P + 75)2 / P2] P

(153 +P) = P2 + 150P + 5625

153P + P2 = P2+ 150 P + 5625

153P – 150P = 5625

3P = 5625

P = 5625 / 3

= Rs 1875

**Answer: b)**

4). P = 3000

R = 7%

CI=4347

T=?

Using formula for compound interest

CI = P [( 1 +(R /100))T – 1 ]

➾4347 = 3000[1 + (7 / 100)T – 1]

➾[4347 / 30000] + 1= (107 / 100)T

➾(30000 + 4347)/ 30000 =[107 / 100]T

➾34347 / 30000 =(107 /100)T

➾11449 / 10000 =(107 / 100)T

➾(107 * 107) / (100 * 100) = (107 / 100)T

➾(107 / 100)2 =(107 / 100)T

:. T = 2 yr

**Answer: a)**

5). Let A’s share be Rs X.

:. B’s share = Rs (2000 – X), then

Given,

X [1 + (5 / 100)]3 = (2000 – X) [1 + ( 5 / 100)]4

➾ X = (2000 – X)(21 / 20)

➾ 20X = 2000 * 21 – 21X

:. X = 42000 / (20 + 21) = 42000 / 41

= 1024.339 ≈Rs. 1024

**Answer: d)**

6). Let each installment be Rs X

Amount = 3500 – 1000 = Rs 25000

:. X / [1 + (25 / 200)] + X / [1 + (25 / 200)]2 + X / [1 + (25 / 200)]3 =2500

➾[8 / 9]X + [8 / 9]2 X+ [8 / 9]3 X = 2500

➾ 8 / 9 X[1 + (8 / 9) +(64 / 81)] = 2500

➾ 8 / 9[(81 + 72 + 64) / 81] = 2500

➾ 8 / 9 X * 217 / 81 = 2500

:. X = (2500 * 9 * 81) / 8 * 217 = Rs 1049.83

**Answer: b)**

7). Let the principle be Rs P and Interest be r%

According to question,

Interest for a consecutive year is Rs 242.

:. Interest on Rs 220 is Rs (242 – 220) i.e., Rs 22.

:. 22 = (220 * 1 * r) / 100

➾ r =(2200 / 220) = 10%

**Answer: b)**

8). Let the principle be Rs. P and the rate of interest = 1%

According to question, A = 2.25 P, n = 2yr

:. 2.25 P = P[ 1 +( r / 100)]2

➾ 2.25 = [1 + (r / 100)]2

➾1.5 = 1+ (r / 100)

➾ r / 100 = 0.5

➾r = 50%

**Answer: d)**

9). Principle = Rs.5000,

t = 2 yr, r1 = 4%, r2 = 6(1 / 4)%

:. Gain = [5000 * 9 *2] / [100 * 4] = 225

➾Gain per year =225 / 2

= Rs 112.50

**Answer: a)**

10). Ratio of their investment

= ([2500000 * 1] + [3500000 * 2] ) : ([3500000 * 2] + [2500000 * 1]) : (3000000 * 3)

=9500000 : 9500000 : 9000000

= 19 : 19 : 18

**Answer: d)**

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