At what rate percent per annum will Rs. 75,000 yields a compound interest of Rs. 6,120 in 6 months, if the interest is being compounded quarterly? Calculate the simple interest at the same rate of interest for 18 months.

Let the rate of C.I be R percent per annum, CI = P [ ( 1 + `(R)/(100)` )ᵀ - 1] ⇒ 6,120 = 75,000 [ ( 1 + `(R)/(400)` )^{2} - 1 ] [T= 6 months = 2 because interest is calculated quarterly] ⇒ `(6120)/(75000)` = ( 1 +`(R)/(400)` ) ^{2} - 1 ⇒ ( 1 + ) ^{2} - 1 = `(51)/(625)` ` ` ⇒ ( 1 + `(R)/(400)` ) ^{2} = 1 +`(51)/(625)` ⇒ ( 1 + `(R)/(400)` )^{2} =`(676)/(625)` ⇒ ( 1 +`(R)/(400)` )^{2} = ( `(26)/(25)` )^{2} ⇒ 1+ `(R)/(400)` =`(26)/(25)` ⇒ `(R)/(400)` = `(26)/(25)` - 1 =`(1)/(25)` R = `(400)/(25)` = 16% Now, S.I = `(P xx R xx T)/(100)` = `(75000 xx 16 xx 18)/(100 xx 12)` = Rs. 18,000

- In 3 years, Rs. 6000 amounts to Rs. 7986 at certain rate of compound Interest, compounded annually. Find the rate %?
- Find the compound Interest on Rs. 16,000 @15 % p.a for 2 years 4 month Compounded annually?
- The compound interest on Rs. 30,000 at 7%per annum for n years is Rs. 4347. The value of n is
- The C.I on a sum of Rs. 6400 becomes Rs. 1276.5625 in 9 months. Find the rate of interest, if the rate of interest is compounded quarterly?
- In what time will Rs. 25000 amount to Rs. 26530.20 @ 4% compound interest payable half-yearly?
- What will be the CI on a sum of Rs.50,000 after 3 years at the rate of 11%p.a?
- The simple interest on a sum of money will be Rs. 800 after 10 years. If the principal is tripled after 5 years, what will be total interest at the end of tenth year?
- What is the difference between the compound interest, when interest is compounded 5-monthly, and the simple interest on a sum of ₹12,000 for 1(1/4) years at 12% per annum?
- A sum of money amounts to Rs 250 in 4 years and Rs 432 in 7 years at a compound rate of interest. What is the rate of interest per annum?

More Compound Interest Questions

×