Question

Amit borrowed Rs 4000 for 5 years. A paid Rs 5400 at the end of 5 years. How much will be have to pay on Rs 5600 in 3 years at the same rate as above?

Answer 1

Answer:

he had to pay 6776

Step-by-step explanation:

solution------>

Given

• P = 4000
• N = 5
• A = 5400

as per 1st condition......

we will find s.i

$s.i = a - p \\ \\ s.i = 5400 - 4000 \\ \: \: \: \: \: = 1400 \\ \\ \\ 1st \: we \: will \: find \: \\ rate \: of \: intrest \: now \: as \: we \: know \\ \\ s.i = \frac{p \times n \times r}{100} \\ \\ 1400 = \frac{4000 \times 5 \times x}{100} \\ \\ 1400 = 40 \times 5 \times x \\ \\ x = \frac{1400}{200} \\ \\ x = 7$

now for 2nd condition

we have

• P= 5600
• n =3
• R =7%

$s.i = \frac{p \times n \times r}{100} \\ \\ \: \: \: \: \: = \frac{5600 \times 7 \times 3}{100} \\ \\ \: \: \: \: = 56 \times 21 \\ \\ s.i = 1176 \\ \\ a \: = p + s.i \\ \\ a = 5600 + 1176 \\ \\ a = 6776$

Answer 2

Dear Student,

● Answer -

Payment due after 3 years = 6776 Rs

● Explanation -

Suppose r be rate of interest.

Payment due = P (100 + r×t) / 100

5400 = 4000 (100 + r×5) / 100

100 + 5r = 5400 × 100 / 4000

5r + 100 = 135

5r = 135 - 100

5r = 35

r = 7 pcpa

After 3 years on Rs 5600 will be -

Payment due = P (100 + r×t) / 100

Payment due = 5600 (100 + 7×3) / 100

Payment due = 56 × (100 + 21)

Payment due = 56 × 121

Payment due = 6776 Rs

Hence, 6776 Rs will have to paid after 3 years.