Question

man invested Rs.3500, part of it at a yearly interest rate of 4% and rest at 5%. He received a total anual interest of Rs.153. How much did he invest at each rate.

Answer 1

Let he invest X rs at 4%

.......................(3500-X) at 5%

ATQ

(X×4×1)/100 +{(3500-X) ×5×1}/100 =153

4X+ 17500 -5X= 15300

X= 2200

So sum invested at 4% =2200

__________----------5% =1300

Answer 2

Answer:

He invested Rs.2200 at 4% and He invested Rs.1300 at 5%

Step-by-step explanation:

Let x be the amount he invested at 4%

So, the amount he invested at 5% is 3500-x

Now we are given that He received a total annual interest of Rs.153.

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

ATQ

$\frac{x \times 4 \times 1}{100} +\frac{(3500-x) \times 5 \times 1}{100}=153$

$\frac{3500-x}{20}+\frac{x}{25}=153$

$x=2200$

He  invested Rs.2200 at 4%

The amount he invested at 5% is 3500-x = 3500-2200=1300

Hence He invested Rs.2200 at 4% and He invested Rs.1300 at 5%