Question

amita invested some parts of 35000 rupees at 4 percent and the rest at 5 percent in test for one year all together her gain was rs 1530 find out the amounts she had invest at the two differance rates write your ans in words.

Answer 1

the part which is invested with 4% is of amount 22000/-
and another one with 5% investment is of amount 13000/-

Answer 2

Answer:

The amount at 4 %  interest is 22,000 rupees,

And, the amount at 5 % interest is 13,000 rupees.

Step-by-step explanation:

Let she invested x rupees at 4 % interest,

Given, total amount = 35,000 rupees,

Thus, her investment at 5 % interest = ( 35,000 - x ) rupees,

Since, The total profit she get = 4 % of x + 5 % of ( 35,000 - x )

$=\frac{4x}{100}+\frac{5(35000-x)}{100}$

According to the question,

Her total profit = 1530 rupees,

$\implies \frac{4x}{100}+\frac{5(35000-x)}{100} = 1530$

$\frac{1}{100}(4x+5(35000-x))=1530$

$4x+5(35000-x)=153000$

$4x+5\times 35000 - 5x = 153000$

$-x+175000=153000\implies x = 22000$

Hence, her investment at 4 % interest = 22,000 rupees,

And, at 5 % interest = 35,000 - 22000 = 13,000 rupees.