Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Interest for first year:
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `(12000 xx 15 xx 1)/100`
S.l. = 1800
Principal amount for second year = Rs ( 12,000 + 1800) = Rs 13,800
Ramesh paid =Rs x (say)
Therefore, new principal = Rs 13,800 - x
A=Rs 9 200 ; r = 15 % ; n = 1 year
`"A" = "P" (1 + "r"/100)^"n"`
Rs 9,200 = Rs (13,800 - x)`(1 + 15/100)`
Rs 9 ,200 = Rs (13, 800- x) × 1.15
Rs 9,200 = Rs 15, 870 - Rs 1.15 x
1.15 x = Rs (15870 - 9,200)
`"x" = "Rs" 6670/1.15`
x = Rs 5, 800
Therefore, Amount Ramesh paid at the end of first year = Rs 5,800
संबंधित प्रश्न
Shekhar had a fixed deposit of Rs 24000 for 3 years . If he received interest at 10% p.a compounded annually, find the amount received by him at the time of maturity.
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 cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
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%?
What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?
Calculate the rate percent at which Rs 15,000 will yield Rs 8,413.44 as compound interest in 3 years.
Calculate the rate per cent at which Rs 16,000 will yield Rs 3,876.75 as compound interest in 3 years.
A sum of money placed at compound interest compounded annually amounts to Rs 26,460 in 2 years and to Rs 29,172.15 in 4 years. Calculate the rate of interest and the sum.
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.?
The S.I. and C.I. on a sum of money for 2 years is Rs. 200 and 210 respectively. If the rate of interest is the same. Find the sum and rate.
