Question

A person had Rs. 5,000, part of which he lent at 5% p.a. and the rest at 4% per annum. The total annunl income received was Rs. 230. How much did he invest at 5%?



pls answer the above question correctly​

Answer 1

Given

The total amount of money =Rs 5000

1st rate of interest=5% p.a.

2nd rate of interest=4% p.a.

total income= Rs 230

To Find

The amount he invested at 5% p.a.

Solution

Let the amount he invested at 5%p.a. be x

Therefore the amount he invested at 4%p.a.= 5000-x

Profit on x= $\frac{5}{100}$×x

Profit on 5000-x= $\frac{5}{100}$×(5000-x)

Therefore the equation =

$\frac{5}{100}$×x + $\frac{5}{100}$×(5000-x)=230

$\frac{5x}{100}$+ 200+- $\frac{4x}{100}$=230

$\frac{5x-4x}{100}$=230-200

$\frac{x}{100}$= 30

x=3000

He invested Rs 3000 at 5%p.a.