Question

A man had Rs.3000 a part of which he lent at 4% p.a and rest at 5% p.a. The whole annual interest received was Rs. 130. The money he lent at 4% was …………………? (1 Point) a. Rs.2000 b. Rs.1000 c. Rs.800 d. Rs.1200

Answer 1

Step-by-step explanation:

let the parts r X and (3000-X)

A/Q X×4+(3000-X)5/100=130

4X-5X+15000=13000

-X= -2000

so X = 2000

Answer 2

The money he lent at 4% was Rs. 2000 and option(a) is correct.

Step-by-step explanation:

Given:

Rs.3000 is available with a man.

A part of Rs.3000  man lent at 4% p.a.

Remaining amount  man lent at 5% p.a.

The whole annual interest received was Rs. 130.

To Find:

The money he lent at 4%.

Formula Used:

$SI=\frac{KRS}{100}$                    ------------------------ formula no 01.

Where

SI = simple interest

K = principal

R = interest rate (in %)

S= time duration (in yrs)

Solution:

Let a part of  Rs.3000 which the man lent at 4% p.a is p.

Remaining amount which the man lent at 5% p.a will be 3000-p.

As given-the whole annual interest received was Rs. 130.

Simple Interest received at 4% lent+Simple Interest received at 5% lent=130

Applying formula no.01.

$\frac{p\times4\times1}{100} +\frac{(3000-p)\times5\times1}{100} =130$

$\frac{4p}{100} +\frac{5(3000-p)}{100} =130$

$4p+15000-5p=13000$

$5p-4p=15000-13000$

$p= Rs.2000$

Thus,the money he lent at 4% was Rs. 2000 and option(a) is correct.

PROJECT CODE#SPJ3