Question

A certain amount becomes 641.25 in 146 days at the rate of 6.5%p.a. Find the sum and the interest.​

Answer 1

Sum will be 625.298 and interest will be 45.99

Step-by-step explanation:

We have given amount after 146 days at rate of 6.5% is 641.25

So A = 641.25

Time t = 146 days $=\frac{146}{365}=0.4year$

We have to find the principal amount

We know that amount is given by

$A=P(1+\frac{r}{100})^n$

$641.25=P(1+\frac{6.5}{100})^{0.4}$

$641.25=P\times 1.065^{0.4}$

$641.25=P\times1.0255$

P = 625.298

So sum will be 625.298

And interest = 641.25 - 625.298 = 15.99

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Answer 2

Dear Student,

◆ Answer -

Sum invested = Rs 625

Interest = Rs 16.25

● Explanation -

# Given -

Payback = Rs 641.25

t = 146 days = 0.4 years

r = 6.5 p.c.p.a.

# Solution -

Let P be the sum invested. After simple interest,

Payback = P (100 + r×t) / 100

641.25 = P (100 + 6.5×0.4) / 100

641.25 = P × 102.6/100

P = 641.25 × 100/102.6

P = Rs 625

So the interest is -

SI = Payback - P

SI = 641.25 - 625

SI = Rs 16.25

Hence, sum invested was Rs 625 and interest is Rs 16.25.

Thanks dear.