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.

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

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 2000, Rate = 4 paise per rupee per annum, Time = 3 years


In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?


There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9261, what it was 3 years ago?


The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.


6400 workers were employed to construct a river bridge in four years. At the end of the first year, 25% workers were retrenched. At the end of the second year, 25% of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by 25% at the end of the third year. How many workers were working during the fourth year?


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.


Ms. Cherian purchased a boat for Rs 16000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.


The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9680, for how much was it purchased?


On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 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%.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×