Advertisements
Advertisements
प्रश्न
A sum of money placed at compound interest compounded annually amounts to Rs 47,610 in 2 years and to Rs 54,751.50 in 3 years. Calculate the rate of interest and the sum.
Advertisements
उत्तर
P = x ; r =? ; t= 2 and 3 years ; A= Rs 47,610 (2 years) (3 years)
`"A" = "P" (1 + "r"/100)^"n"`
47610 = x `(1 + "r"/100)^2` ..........(i)
54751.50 = x `(1 + "r"/100)^3` ................(ii)
` therefore ("x" (1 + "r"/100)^3)/("x" (1 + "r"/100)^2) =54751.50/47610 `
⇒`(1 + "r"/100) = 54751.50/47610`
⇒ `"r"/100 = 54751.50/47610 - 1`
⇒ `"r"/100 = (54751.50 - 47610)/47610`
`"r" = 7141.50/47610 xx 100`
r = 15 %
Using (i)
`"x" (1 + "r"/100)^2 =" Rs" 47610`
`"x" (1 + 15/100)^2 = "Rs" 47610`
`"x" (115/100)^2`= Rs 47610
1.3225 x = Rs 47,610
x = Rs 36,000
The sum =Rs 36,000 and rate of interest= 15 %
APPEARS IN
संबंधित प्रश्न
Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.
Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year.
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.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
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%?
What sum of money will amount to Rs 10,256.40 in 3 years at compound interest if the rates of interest for the successive years are 10%, 11% and 12%?
On what sum of money will the compound interest for `1 1/2` years at 16% p.a. compounded half-yearly amount to Rs 649.28?
Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.
In what time will Rs 8,000 amount to Rs 12,167 at 15% per annum compounded annually?
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.?
