1. A sum was put a simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. The sum is:

1. Rs.750

2. Rs.700

3. Rs.820

4. Rs.940

Answer & Explanation

Answer:- 1

Explanation :-

Let the sum be Rs.x & the initial rate be R%.

Therefore,

[(x*(R+4)*2)/100] – [(x*R*2) /100] = 60

2xR + 8x – 2xR = 6000

8x = 6000

x= Rs.750

2. The simple interest at x% for x years will be Rs. x on a sum of:

1. Rs. x

2. Rs. x/2

3. Rs. 100/x

4. Rs. 100x/2

Answer & Explanation

Answer:- 3

Explanation :-

P = ?, R = x%, SI = x, T = x years

P=(SI*100)/(R*T)=(x*100)/(x*x)

P=100/x

3. A sum of money becomes 7⁄5 of itself in 4 years at a certain rate of simple interest. The rate per annum is :

1. 9%

2. 10%

3. 11%

4. 12%

Answer & Explanation

Answer:- 2

Explanation :-

Lets suppose the sum of money be Rs.x , T = 4 years , R = ?

Amount After 4 years

SI = [(7/5)x]-x = (2x)/5

R = (SI*100)/(P*T)

R = [(2x/5)*100]/(x*4) = 10%

4. If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, find the time.

1. 2.5 year

2. 1 year

3. 1.5 year

4. 2 year

Answer & Explanation

Answer:- 2

Explanation :-

Difference in principal = 3000-2000 = 1000

Therefore,

SI on Rs.1000 = Rs.50

[(1000*5*T)/100] = 50

50T=50

T = 1 Year

5. A sum of Rs. 7700 is to be divided among three brothers Vikas, Vijay and Viraj in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 years respectively remains equal. The Share of Vikas is more than that of Viraj by

1. Rs.1200

2. Rs.1400

3. Rs.2200

4. Rs.2800

Answer & Explanation

Answer:- 4

Explanation :-

R=5%

Share of Vikas (For 1 Year) : Share of Vijay (For 2 Year): Share of Viraj (For 3Year)

[1/(1*5)] : [1/(2*5)] : [1/(3*5)]
1 : (1/2) : (1/3)

6 : 3 : 2

Total amount = 7700

Difference Between Vikas and Viraj’s Share = (7700/11)*(6-2) = 2800