Question

Ashok invested a total sum of rs 16000 in two different schemes a and b ofgerinf intrest at 10 and 20% per annum respectively. if the total interest tecieved from both schemes in 2 year is 4280 then find the sum invested in schene b

Answer 1

sorry I have written it so fast that's why it's not so good

Answer 2

Answer:

Rs.5400

Step-by-step explanation:

Let the amount invested in scheme a be x

So, the amount invested in scheme b = 16000 -x

Case 1)

Principal = x

R= 10%

time = 2 years

$SI =\frac{P \times R \times T}{100}$

$SI =\frac{x\times 10 \times 2}{100}$

Case 2)

Principal =  16000 -x

R=20%

time = 2 years

$SI =\frac{P \times R \times T}{100}$

$SI =\frac{ 16000 -x\times 20 \times 2}{100}$

Since we are given that the total interest received from both schemes in 2 year is 4280

So,  $\frac{x\times 10 \times 2}{100}+\frac{ 16000 -x\times 20 \times 2}{100} =4280$

$x=10600$

So, the amount invested in scheme a is Rs.10600

So, the amount invested in scheme b is Rs.16000 - Rs.10600 =Rs.5400

Hence the sum invested in scheme b is Rs.5400