Math, asked by StarTbia, 1 year ago

Find the amount and the compound interest.
No. Principal (₹) Rate (p.c.p.a.) Duration (years)
1 2000 5 2
2 5000 8 3
3 4000 7.5 2

Answers

Answered by mysticd
43
Solution :

1 ) Principal ( P ) = Rs 2000,

Rate of interest ( r ) = 5 %

Duration ( n ) = 2

Amount ( A ) = P( 1 + r/100 )ⁿ

A = 2000( 1 + 5/100 )²

A = 2000 ( 21/20 )²

A = ( 2000 × 21 × 21 )/( 20 × 20)

A = Rs 2205

Compound Interest = A - P

= 2205 - 2000

= Rs 205
_________________________

2 ) P = Rs 5000

r = 8 % ,

n = 3 ,

A = 5000( 1 + 8/100 )³

A = 5000 ( 27/25 )³

A =Rs 6298.56

Compound Interest = A - P

= Rs 6298.56 - Rs 5000

= Rs 1298.56
__________________________

3 ) P = Rs 4000,

r = 7.5%

n = 2

A = 4000( 1 + 7.5/100 )²

A = 4000( 107.5/100 )²

A = Rs 4622.50

Compound Interest = A - P

= Rs 4622.50 - 4000

= Rs 1622.50

••••
Answered by manikavi7144
10

Answer:

Step-by-step ) Principal ( P ) = Rs 2000,

Rate of interest ( r ) = 5 %

Duration ( n ) = 2

Amount ( A ) = P( 1 + r/100 )ⁿ

A = 2000( 1 + 5/100 )²

A = 2000 ( 21/20 )²

A = ( 2000 × 21 × 21 )/( 20 × 20)

A = Rs 2205

Compound Interest = A - P

= 2205 - 2000

= Rs 205

_________________________

2 ) P = Rs 5000

r = 8 % ,

n = 3 ,

A = 5000( 1 + 8/100 )³

A = 5000 ( 27/25 )³

A =Rs 6298.56

Compound Interest = A - P

= Rs 6298.56 - Rs 5000

= Rs 1298.56

__________________________

3 ) P = Rs 4000,

r = 7.5%

n = 2

A = 4000( 1 + 7.5/100 )²

A = 4000( 107.5/100 )²

A = Rs 4622.50

Compound Interest = A - P

= Rs 4622.50 - 4000

= Rs 1622.50

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