Question

A Man had rs 4000, part of which he lent at 5%and the rest at 4%. the whole interest received was rs 190. how much did he lent at 4%​

Answer 1

He lent on 4% Rs. 3000/-

Step-by-step explanation:

Let us assume that,the sum lent at 5% = Rs. X

Then,

Amount at 4% = 4000 - X

So,

According to the question,

$\frac{x\times 5 \times 1}{100} + \frac{(4000 - x)\times 4\times 1}{100} = 190$

$\frac{x\times 5\times 1 + (4000 - x)\times 4\times 1}{100} = 190$

$5\times x + 16000 - 4\times x = 19000$

$x = 19000 - 16000$

x = 3000

He lent on 4% Rs. 3000/-

Answer 2

Rs 1000 lent at 4%

Step-by-step explanation:

Let Rs x lent at 5% interest and Rs y at 4% interest.

Total money had Rs 4000

Therefore,  x + y = 4000     -----------(1)

Interest on Rs x = 5% of x

                          = 0.05x

Interest on Rs y = 4% of y

                          = 0.04x

Total interest received = Rs 190

0.05x + 0.04y = 190   -----------------(2)

using eq(1) and eq(2) solve for x and y

By elimination method, multiply first equation by -0.04

-0.04x -0.04y = -160

0.05x + 0.04y = 190

               0.01x = 30

                      x = 3000

Put x into x + y = 4000

3000 + y = 4000

             y = 1000

Hence, Rs 1000 lent at 4%

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