- The difference between compound interest and simple interest on rs.42000 at same rate of interest for 2 years is rs.945. What is the rate of interest ?
10%15%14%20%25%Option B

945 = PR^2/100^2

945 = 42000 * R^2/10000

R^2 = 225

R = 15% - Rohit borrows rs.4000 at 10% on compound interest and at the end of the every year he paid rs.1000 back. How much amount should he pay at the end of the 3rd year to settlement all his debt ?
25003000324030142480Option D

total amount at the end of the 1st year = 4000 * 110/100 = 4400

After he paid rs.1000, remaining amount = 4400 – 1000 = 3400

total amount at the end of 2nd year = 3400 * 110/100 = 3740

After he paid rs.1000, remaining amount = 3740 – 1000 = 2740

total amount at the end of 3rd year = 2740 * 110/100 = 3014

At the end of 3rd year he paid 3014 to settlement his debt. - A man borrows rs.8000 for 3 years and he gave at 15%, 20% and 30% rate of interest for 1st year, 2nd year and 3rd year respectively. Then how much amount he paid at the end of 3rd years in compound interest ?
1443514352172501954020450Option B

Amount in 1st year = 8000 + (8000*15/100) = 9200

Amount in 2nd year = 9200 + (9200*20/100) = 11040

Amount in 3rd year = 11040 + (11040 * 30/100) = 14352 - What is the compound interest on rs.8600 at 20% p.a. for 1 years, compounded half yearly.
22402420144018061425Option D

Rate of interest for 1 year = 20%

rate of interest for half year = 10%

by applying successive,

10 + 10 + 10 * 10/100 = 21%

compound interest = 8600 * 21/100 = 1806 - Shivam invested a certain amount at the rate of 14% for 4 years in simple interest and after 4 years he obtained a total simple interest of rs.5600. If invested the same amount at the same rate of interest for 2 years in compound interest then how much interest would he have obtained ?
32202996283424502830Option B

Let principal be rs. x

= x * 14/100 * 4 = 5600

x = 5600 * 100/56 = 10000

by applying successive, rate of compound interest = 14 + 14 + 14 * 14/100 = 19.96%

compound interest = 10000 * 29.96/100 = 2996 - The difference between simple interest and compound interest on a certain sum at 20% rate of interest for 2 years is 500. What is difference between simple interest and compound interest for 1st year, if interest is compounded half-yearly ?

120180125150190Option C

500 = PR^2/100^2

500 = P * 400/10000

P = 12500

simple interest for 1st year = 12500 * 20/100 = 2500

Rate of interest for compound half yearly = 20/2 = 10%

by apply successive method,

rate of CI = 10 + 10 + 10 * 10/100 = 21%

compound interest = 12500 * 21/100 = 2625

Difference = 2625 – 2500 = 125 - On a certain sum of money simple interest occurred after 4 years is rs.4800 and compound interest occurred after 2 years is rs.2580. If rate of interest in both cases are same, find the principal amount ?
120008000140001800020000Option B

SI after 4 years = 4800

SI for 1 year = 4800/4 = 1200

SI for 2 years = 2400

CI for 2 years = 2580

by applying SI and CI ratio formula,

SI/CI = 200/200 + r

2400/2580 = 200/200 + r

r = 15%

Let principal = rs. x

x * 15/100 * 4 = 4800

x = 4800*100/60 = 8000 - What is difference between compound interest and simple interest for 2 years at the rate of 20% on a principal of rs.8500 ?
240520340624125Option C

SI for 2 years = 8500 * 20/100 * 2 = 3400

by applying successive

rate of compound interest after 2 years = 20 + 20 + 20 * 20/100 = 44%

CI = 8500 * 44/100 = 3740

Difference = 3740 – 3400 = 340 - If a money get tripled in 5 years on a certain rate of simple interest, then find the rate of interest ?
20%40%48%45%25%Option B

let principal = rs. x

amount = 3 * x = 3x

simple interest = 3x – x = 2x

2x = x * R/100 * 5

R = 40% - Shiva invested rs. X for 4.5 years at the rate of 20% p.a. on simple interest. If he received rs.2520 as interest, then what is the value of X ?
28001700340046003800Option A

2520 = X * 20/100 * 4.5

X = 2800