Advertisements
Advertisements
Question
The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?
Advertisements
Solution
P =x ; t = 3 years; r = 10 % A=Rs (x + 4965)
`"A" = "P" (1 + "r"/100)^"n"`
Rs ( x + 4,965) = x`(1 + 10/100)^3`
Rs (x + 4,965)= x × 1.1 × 1.1 × 1.1
Rs (x + 4, 965) = 1.331 x
0.331 x = Rs 4,965 x
= Rs 15,000
I = `("P" xx "r" xx "t")/100`
I = Rs `(15000 xx 11 xx 3)/100`
I= Rs 4, 950
Simple interest will be Rs 4,950
RELATED QUESTIONS
What sum of money will amount to Rs 16,637.50 in 3 years at 10 % p.a. compound interest?
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 interests on two successive years for a sum invested at compound interest compounded annually are Rs 840 and Rs 940.80. Calculate the rate of interest and the sum invested.
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
the rate of depreciatlon
The cost of a machine dep reciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The cost at the end of the fourth 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 16,000 for 3 years at `7 1/2` % p.a.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % p.a.
If the interest is compounded half yearly, calculate the amount when the Principal is Rs. 7,400, the rate of interest is 5% per annum and the duration is one year.
The population of a city is 1,25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively. Calculate the population of the city after 3 years.
