- Ramu gave Rs. 5000 to Raju for 2 years and Rs.3000 to Kiran for 4 years on simple interest at the same rate of interest and received Rs.4400 in total from both as interest. Find the rate of interest per annum.
2030405060Option A

Let the rate of interest =R%.

Then 5000 * 2* R / 100 + 3000 * 4* R /100 = 4400

100R+120R= 4400

=>220R= 4400

=>R= 20% - A and B borrows Rs.5000 and Rs.3000 respectively at the same rate of interest for 2 ½ years. If B paid Rs.200 more interest than A, Find the rate of interest.
24685Option B

From the question,

5000 * 5*R/ 100*2 – 3000 * 5 * R / 100*2 = 200 ( 2 ½ = 5/2)

=>10000 R/ 200 =200

=>R= 4% - The simple interest on a sum of money 3 years is Rs. 240. And the compound interest on the same sum at the same rate for 2 years is Rs.170.What is the rate of interest?
22.223.725.621.622.9Option A

Simple interest for 1 year = 270/3= 90 =PR/100

For two years= 90*2= Rs.180

Difference for 2 years= 180- 160 = Rs.20

Difference between C.I and S.I = PR2 /1002

Rate % = 20/90 * 100

=22.2% - A person deposits some amount in a bank. After some years a sum of money is doubled itself at 2 ½ % simple interest for a year. Then find the time .
3035404555Option C

Let Principal=P.

=>Amount = 2P

Simple interest = 2P-P= Rs.P

SI= P*R*T/100

P= P*5 *T/2*100

=>200 = 5T

T= 200/5= 40 years. - A person gave Rs.4000 for 3 years to his friend and gave Rs. 5000 for 4 years to his brother at the same rate of simple interest. Finally he receives Rs.1600 as interest from both ,What is the rate of interest per annum?
67254Option D

Let the rate of interest = x%

4000 * x * 3/ 100 + 5000 * x*4 /100 = 1600

120x + 200x = 1600

=>320x= 1600

=>x= 5% - A person borrowed some amount at the rate of 12% per annum at simple interest .After 5 years 4 months , he paid Rs.720 as an interest .Find the amount borrowed by him?
Rs.1235Rs.1125Rs.1254Rs.1200Rs.1300Option B

R= 12%, T= 6 years 8months.

5 years 4 months =5 4 /12 = 5 1/3 = 16/ 3 years.

Interest =PRT/ 100

720 =P *12*16/ 100 *3

=>P=Rs. 1125 - A deposits Rs. 20,000 as fixed deposits at a bank at the rate of 10% per annum simple interest. But for some reasons he has to withdraw the entire money after 2 years . So bank has given lower interest to him. But he got Rs.4000 less amount what he would wants to get after 5 years, then find the rate of interest given by the bank ?
2324253221Option C

Principal= Rs. 20,000

Rate%= 10%

SI for 5 years= 20000*10 *5/100 =Rs.10,000

After three years interest received = 10000-4000= Rs.6000

Rate%= 6000/ 12000 * 100/2 = 25% - Sonu deposits Rs.2500 in 2 years. She receives 4% compound interest for the first year. Second year the bank hikes its interest rate as 8%.Find the difference of the amount she received in the two years.
200123543300400Option A

P= Rs.2500

R1= 4%, R2=8%

Amount for first year = 2500 ( 1+ 4/100) =Rs.2600

Second year= 2600 (1+8/100)= Rs.2800

Difference = 2800- 2600 = Rs. 200 - Man invests ½ of his retirement amount at 2% in one bank and 1/5 amount at 5% in the second bank and 1/8 th amount in the third bank at 8% .If simple interest of 2 years amount he got is Rs.10,000, Find the total amount he invested?
Rs.176,099Rs.1,66,667Rs.1,76,900Rs.1,23,765Rs.1,89,002Option B

Let the sum be Rs.100.

SI = (100/2 * 2/100 * 2) +( 100/5 * 5/100 *2) + ( 100/8 * 8/100* 2)

= 6

Actual Sum = 10000/6 * 100 =Rs.1,66,667 - Arun invests sum amount in the compound interest at 25 % for 5 years. At the end of five years he got Rs.2500 as an interest amount. If he invests in simple interest then what will be the interest amount on same sum for same period and rate
Rs.2300Rs.2000Rs.1200Rs.2040RS.1600Option B

C.I = P ( ( 1+25/100)2 – P)

= 25P/16

Given C.I = Rs2500

P=Rs. 1600

S.I = 1600 * 25*5/100

=>S.I= Rs.2000