Answer: Rs 275.40
Explanation:
Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:
First, well calculate the interest. This will be:
= PRT/100
= (25000 × 12 × 1.5 / 100)
= 4500
Total amount to be paid back will be:
= Rs 25000 + Rs 4500
= Rs 29500
Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:
A = P(1 + r)^t
where,
A = Final Amount
P= Principal = 25000
r= Rate of interest =
t= Time = 3 cycles
Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles
The rate will be = 12%/2 = 6% yearly.
We'll then slot the values into the question and this will be:
A = P(1 + r)^t
A = 25000(1 + 0.06)³
A = 25000(1.06)³
A = 25000 × 1.191016
A = 29775.4
Therefore, Bishwant is expected to pay Rs 29775.4
Then the profit that Sunayana is expected to make will be:
= Rs 29775.4 - Rs 29500
= Rs 275.40