Advertisements
Advertisements
प्रश्न
The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.
Advertisements
उत्तर
Here, P = ? ; t = 2 years ; r = 8 % p.a.
S.I. = Rs 320
P = Rs `("S.I." xx 100)/("r" xx "t")`
P = Rs `(320 xx 100)/(8 xx 2)`
P = Rs 2,000
Now, P =Rs 2,000 ; t = 1 year
n = 2t = 2 × 1=2
r = `1/2 xx 8 % = 4 %` Per conversion period.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 2000 `(1 + 4/100)^2`
= Rs 2,000 x1.04 x 1.04 = Rs 2,163.20
C.I. =A - P
= Rs (2, 163.20 - 2,000)
=Rs 163.20
Hence, compound interest= Rs 163.20
संबंधित प्रश्न
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?
What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?
The value of a machine depreciates by 15% in the first year and by 12% in the second year. Find the value of the machine if its depreciation in the second year was Rs 1,632.
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
Ramesh borrowed Rs 12,000 at 15% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 9,200 at the end of the second year, he cleared the loan. Calculate the amount of money Ramesh returned at the end of the first year.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % p.a.
Calculate the amount and the compound interest for the following:
Rs 12,500 for 3 years if the rates for the successive years are 8%, 9% and 10% respectively.
Find the principal which will amount to Rs 22,344 in 2 years at compound interest if the rates of interest for the successive years are 12% and 14%?
The compound interest on a certain sum of money at 5% p.a. for 2 years is Rs 512.50. What will be the simple interest on the same sum for 3 years at 6% p.a.?
