Question

Bhagwanti inherited Rs 12000.00. She invested a part of it as 10% and the rest at 12%. Her annual income from these investments is Rs 1280.00. How much did she invest at each rate?​

Answer 1

Answer:

Bhagwanti invested Rs.8000 at 10% and Rs. 4000 at 12%.

Step-by-step explanation:

Let's consider the amt she invested at 10%. as x.

So, annual interest for this investment is

x×1×10/100= x/10= 0.1x

Similarly, interest for other investment is 0.12y

0.1x + 0.12y = 1280

0.1x = 1280-0.12y

x = (1280-0.12y) /0.1

x = (1280-0.12y)×10

x = 12800-1.2y => Eq. 1

Also, x+y = 12000

Substituting x using Eq. 1

12800-1.2y+y = 12000

12800-0.2y = 12000

12800-12000 = 0.2y

0.2y = 800

y = 800/0.2

y = 800×5

y = 4000

Since, x+y = 12000

x+4000 = 12000

x = 12000-4000

x = 8000