हिंदी

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.

योग
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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Compound interest - Practice Set 14.2 [पृष्ठ ९३]

APPEARS IN

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

संबंधित प्रश्न

Find the compound interest on Rs 160000 for one year at the rate of 20% per annum, if the interest is compounded quarterly.


Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 3000, Rate = 5%, Time = 2 years


Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 160000, Rate = 10 paise per rupee per annum compounded half-yearly, Time = 2 years.


Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.


Pritam bought a plot of land for Rs 640000. Its value is increasing by 5% of its previous value after every six months. What will be the value of the plot after 2 years?


The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.


Ashish started the business with an initial investment of Rs 500000. In the first year he incurred a loss of 4%. However during the second year he earned a profit of 5% which in third year rose to 10%. Calculate the net profit for the entire period of 3 years.


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%.


Find the amount and the compound interest on ₹ 10,000 in 3 years, if the rates of interest for the successive years are 10%, 15%, and 20% respectively.


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.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×