Math, asked by Arna146, 2 months ago

find the compound interest on rs 25000 for 3 years when the rate of interest is 8% for 2 years and 10 % for the third year
no spams plz
I want step by step explanation​

Answers

Answered by SƬᏗᏒᏇᏗƦƦᎥᎧƦ
59

Required answer : -

Question :

• Find the compound interest on rs 25000 for 3 years when the rate of interest is 8% for 2 years and 10 % for the third year.

Solution:

Given,

Principal (P) = ₹25,000

Time (i.e., number of years) = 3 years

Rate ( For first and second year ) = 8% p.a.

( For third year ) = 10% p.a.

Formulas used:

•  \: Simple \:  Interest \:  (S.I.)  \: =  \: \frac{Principal × Rate × Time }{100}  \\ •  \: Amount \:  =  \: Principal  \: +  \: Interest  \\ •  \: Compound  \: Interest  \: = \:  Final  \: Amount-Original Principal</strong></p><p><strong>[tex]•  \: Simple \:  Interest \:  (S.I.)  \: =  \: \frac{Principal × Rate × Time }{100}  \\ •  \: Amount \:  =  \: Principal  \: +  \: Interest  \\ •  \: Compound  \: Interest  \: = \:  Final  \: Amount-Original Principal

For 1st year:

Principal = ₹25,000 , Rate of interest = 8% p.a.

Time = 1 year

Simple \: Interest\:  = \:   \frac{Principal × Rate × Time}{100} \\ I\:  =  \:  \frac{ ₹25000 \times 8 \times 1}{100} \\I \:  =  \:  ₹2000 \\ Amount \:  =  \: Principal + Interest \\ A \:  =  \: ₹25000 +₹ 2000 \\ A \:  =  \: ₹27000

For 2nd year:

The new principal will be ₹27000

Thus,

Principal = ₹27,000 , Rate of interest = 8% ,

Time = 1 year

I \: =   \:  \frac{₹27000 × 8 × 1 }{100}  \\ I \:  =  \: ₹2160 \\ A \:  =  \: ₹27000 + ₹2160 \\ A \:  =  \: ₹29160 \\

For 3rd year:

The new principal will be ₹29160

And the rate of interest for third year will be 10%

Thus,

Principal = ₹29160 , Rate of interest = ₹10% ,

Time = 1 year

I \:  =  \:  \dfrac{₹29160 × 10 × 1 }{100}  \\ I \:  =  \: ₹2916 \\ A \:  =  \: ₹29160 + ₹2916 \\ A \:  =  \: ₹32076

Now,

Compound Interest = Final amount - Original Principal

That is.,

C.I. = ₹32076 - ₹25000

C.I. = ₹7076

___________________________________

Extra information-

The money borrowed is called the principal, the extra money paid for using lender's money is called interest and the total money, paid to the lender at the end of the specific period is called amount.

♦ On the same sum and at the same rate of interest per annum, the interest of every year is same.

♦ When interest is said, it always means Simple Interest.

__________________________________

__________________________________

Note:

Answer might be some difficult to read from app so kindly read from web.

Question link:

https://brainly.in/question/35434960?utm_source=android&utm_medium=share&utm_campaign=question

___________________________________

Answered by abirpaul5526
1

Answer: 25,000 after 3 years at the rate of 12 p.c.p.a? = Rs. 35123.20.

Step-by-step explanation: Amount=Rs.[25000×(1+12100)3]=Rs.              (25000×2825×2825×2825)=Rs.35123.20∴C.I.=Rs.(35123.20−25000)=Rs.10123.20

Similar questions