Advertisements
Advertisements
प्रश्न
Find the sum invested at 8% p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 166.40.
Advertisements
उत्तर
Let the sum be P
Interest for first year :
`"P" (1 + 8/100) - "P"` ...............(i)
Interest for third year :
`"P" (1 + 8/100)^3 - "P"(1 + 8/100)^2` ..............(ii)
Subtracting (ii) from (i)
`"P" (1 + 8/100)^3 - "P"(1 + 8/100)^2 - "P" (1 + 8/100) + "P"` = Rs 166.40
Rs 166.40 = 1.259712 P- 1.1664 P-1.08 P + P
Rs 166.40 = 0. 013312P
P = Rs 12,500
Hence the sum is Rs 12,500
APPEARS IN
संबंधित प्रश्न
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of the second year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of third year.
Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interesL
Find he tol interest paid by him.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The Compound Interest paid by Nimish
Archana borrowed Rs 18,000 from Ritu at 12% p.a. compound interest. If at the end of the 1st, 2nd, and 3rd years, Archana returned Rs 5,250, Rs 5,875 and Rs 6,875 respectively, find the amount Archana has to pay Ritu at the end of the 4th year to clear her debt.
A man's savings increases by Rs 50 every year. If he saves Rs 500 in the first year and puts it at 10% compound interest, find his savings at the end of the third year.
A man lends Rs. 12,500 at 12% for the first year, at 15% for the second year and at 18% for the third year. If the rates of interest are compounded yearly ; find the difference between the C.I. fo the first year and the compound interest for the third year.
A man borrows Rs. 10,000 at 5% per annum compound interest. He repays 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?
The population of a town 2 years ago was 62,500. Due to migration to cities, it decreases at the rate of 4% per annum. Find its present population.
6000 workers were employed to construct a river bridge in four years. At the end of first year, 20% workers were retrenched; At the end of second year 5% of the workers at that time were retrenched. However, to complete the project in time, the number of workers was increased by 15% at the end of third year. How many workers were working during the fourth year?
