Question

find the amount and the C.I 2000 in 2 years if the rate 4%p.a for 1st year and 2%for the second year​

Answer 1

Answer:

Amount for 1st year is Rs80 and for the second year is Rs. 41.6 and C.I. is Rs.127.6

Step-by-step explanation:

Put the formula of P×R×T÷100

2000×4×1÷100

=Rs. 80

Interest for 1st year = Rs80

Amount = P+S.I.

=Rs. (2000+80)

=Rs.2080

This amount will become the principal for second year

Interest for 2nd Year = P×R×T÷100

2080×2×1÷100

=Rs.41.6

Compound Interest = Interest of 1st Year + Interest of 2nd Year

=Rs. (80+41.6)

=Rs127.6

Answer 2

Given :

Principle : ₹2000

Time : 2 years

Rate for first year : 4%

Rate for second year : 2%

To find :

The compound interest and the amount on first and second year.

Solution :

First, we'll find the amount and compound interest for first year.

$\sf \dashrightarrow Amount = Principle \bigg( 1 + \dfrac{Rate}{100} \bigg)^{Time}$

$\sf \dashrightarrow 2000 \bigg( 1 + \dfrac{4}{100} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( 1 + \dfrac{1}{25} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( \dfrac{25 + 1}{25} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( \dfrac{26}{25} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( \dfrac{26}{25} \bigg)$

$\sf \dashrightarrow \dfrac{2000 \times 26}{25} = \dfrac{80 \times 26}{1}$

$\sf \dashrightarrow 80 \times 26 = 2080$

Now, we can find the compound interest.

Compound interest (first year) :

$\sf \dashrightarrow Amount - Principle$

$\sf \dashrightarrow 2080 - 2000$

$\dashrightarrow$₹$\sf 80$

Hence, the amount and compound interest on first year is ₹2080 and ₹80 respectively.

Now, we can find the amount and compound interest for second year.

Amount (second year) :

$\sf \dashrightarrow Amount = Principle \bigg( 1 + \dfrac{Rate}{100} \bigg)^{Time}$

$\sf \dashrightarrow 2000 \bigg( 1 + \dfrac{2}{100} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( 1 + \dfrac{1}{50} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( \dfrac{50 + 1}{50} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( \dfrac{51}{50} \bigg)^{1}$

$\sf \dashrightarrow 2000 \bigg( \dfrac{51}{50} \bigg)$

$\sf \dashrightarrow \dfrac{2000 \times 51}{50} = \dfrac{40 \times 51}{1}$

$\sf \dashrightarrow 40 \times 51 = 2040$

Now, we can find the compound interest.

Compound interest (second year) :

$\sf \dashrightarrow Amount - Principle$

$\sf \dashrightarrow 2040 - 2000$

$\dashrightarrow$₹$\sf 40$

Hence, the amount and compound interest are ₹2040 and ₹40 respectively.