Question

If an employee invests ₹x at the rate of 4% and invests ₹y at the rate of 9%,

then he gets ₹520 as yearly interest”. Represent this situation in the form of a

linear equation in two variables.​

Answer 1

Answer:

4x + 9y = 52000

Step-by-step explanation:

$i\: = \frac{p \times r \times t}{100}$

when

Principal (p) = x

Rate (r)= 4% p.a.

Time (t)= 1 year

Interest (i)

$i \: = \frac{x \times 4 \times 1}{100} \\ i = \frac{4x}{100} \: \: \: \: \: \: \: \: \: \: - (eq \: 1)$

For

p = y, r = 9% p.a, t = 1 year

Interest (i)

$i = \frac{y \times 9 \times 1}{100} \\ i = \frac{9y}{100} \: \: \: \: \: \: \: \: - (eq \: 2)$

now, total interest = Rs 520

(eq 1) + (eq 2) = total interest

i.e.

$\frac{4x}{100} + \frac{9y}{100} = 520 \\ \frac{4x + 9y}{100} = 520 \\ 4x + 9y = 52000 \: \: \: \: \: \: \: \: \: ans.$

MARK AS BRAINLIST