मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ८ वी

Find the compound interest if the amount of a certain principal after two years is ₹ 4036.80 at the rate of 16 p.c.p.a. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the compound interest if the amount of a certain principal after two years is ₹ 4036.80 at the rate of 16 p.c.p.a.

बेरीज
Advertisements

उत्तर

Here, P = Principal

A = ₹ 4036.80

I = Compound Interest

R = 16 %

N = 2 years

A = P `(1 + "R"/100)^"N"`

   = 4036.80 = P `(1 + 16/100)^2`

    = 4036.80 = P `(1 + 4/25)^2`

    = 4036.80  = P `(29/25)^2`

    = P = `(4036.80 xx 25 xx 25)/(29 xx 29)`

    = P = 3000

Also,

I = A − P

= 4036.80 − 3000

= 1036.80

Hence, the compound interest is ₹ 1036.80

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Compound interest - Practice Set 14.2 [पृष्ठ ९३]

APPEARS IN

बालभारती Mathematics [English] Standard 8 Maharashtra State Board
पाठ 14 Compound interest
Practice Set 14.2 | Q 5 | पृष्ठ ९३
बालभारती Mathematics Integrated [English] Standard 8 Maharashtra State Board
पाठ 14 Compound Interest
Practice Set 14.2 | Q 5. | पृष्ठ ४८

संबंधित प्रश्‍न

The population of a place increased to 54000 in 2003 at a rate of 5% per annum Find the population in 2001.


Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 5000, Rate = 10 paise per rupee per annum, Time = 2 years


At what rate percent will a sum of Rs 1000 amount to Rs 1102.50 in 2 years at compound interest?


Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of 4%, 5% and 3% respectively, find the present population.


The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997

The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997.

 

.


Jitendra set up a factory by investing Rs 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.


To start a business, Shalaka has taken a loan of ₹8000 at a rate of 10 `1/2` p.c.p.a. After two years, how much compound interest will she have to pay?


Find the amount and the compound interest on ₹ 4,000 in 2 years, if the rate of interest for the first year is 10% and for the second year is 15%.


A TV was bought at a price of ₹ 21,000. After one year the value of the TV was depreciated by 5% (Depreciation means reduction of value due to use and age of
the item). Find the value of the TV after one year.

The value of a car, bought for Rs 4,40,000 depreciates each year by 10% of its value at the beginning of that year. So its value becomes Rs 3,08,000 after three years.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×