Question

1. Find the amount for the following given data.

1) Sum=Rs 5000, Rate of interest- 10%, time = 6 months, compounded half yearly

I will mark you as BRAINLIEST​​

Answer 1

Answer:

A=P(1+R100)tA=P(1+R100)t where,

A = Amount

P = Principal

R = Rate

T = Time

Remember to half the rate and double the time as the principal is compounded half-yearly.

Then, the compound interest can be calculated using the relationship:

Amount = Principal + Compound Interest

Complete step-by-step answer:

Given:

Principal (P) = Rs. 5000

Rate (R) = 8 %

As it is compounded half yearly, the rate will reduce to half

R=82%R=82%

R = 4 %

Time (t) = 1 year 6 months

= (1+12)yrs(1+12)yrs

 (∵12m=1yr6m=112×66m=12yrs)(∵12m=1yr6m=112×66m=12yrs)

= 32yrs32yrs

As it is compounded half yearly, the time will be doubled:

t=2×32yrst=2×32yrs

T = 3 yrs.

Substituting these values in the formula of Amount, we get:

A=P