Question

2) Calculate the amount and the compound interest on :

i) Rs.8000 in 2 1/2 years at 15% per annum

ii) Rs.20000 in 2 1/4 years at 10% per annum

Answer fast​

Answer 1

Answer:

For 1

st

year,

P = Rs 8,000; R = 15% and T = 1 year

∴ Interest = Rs

100

8,000×15×1

= Rs 1200

And, Amount = Rs (8,000 + 1200) = Rs 9,200

For 2

nd

year,

P = Rs 9,200; R = 15% and T = 1 year

∴ Interest = Rs

100

9,200×15×1

= Rs 1,380

And, Amount = Rs (9,200 + 1,380) = Rs 10,580

For the last

2

1

year,

P = Rs 10,580; R = 15% and T =

2

1

year

∴ Interest = Rs

100×2

10,580×15×1

= Rs 793.50

And, Amount = Rs (10,580 + 793.50) = Rs 11,373.50

∴ CI. accrued = Final amount - Initial Principal

= Rs. (11373.50 - 8,000)

= Rs. 3373.50

A=P(1+

100

R

)

T

⇒ A=20000×(1+

100

10

)

2

⇒ A=20000×

100

121

⇒ A=Rs.24,200.

∴ C.I.=A−P=Rs.24,200−Rs.20,000=Rs.4200.

2.

1