Question

Amita invested some part of Rs 35000 at 4% and the rest at 5% interest for one year. Altogether her gain was Rs 1530. Find out the amounts she had invested at the two different rates. Write your answer in words.

Answer 1

Let the amount invested at the rate of 4% and 5% be Rs x and Rs y respectively. 

According to the first condition, total amount invested = Rs 35000

∴ x + y = 35000 …(i) 

According to the second condition, total interest received at 4% and 5% is Rs 1530. 

∴ 4 % of x + 5 % of y = 1530

= 1530

∴ 4x + 5y = 153000 …(ii) 

Multiplying equation (i) by 4, we get 

4x + 4y = 140000 …(iii) 

Subtracting equation (iii) from (ii),

Substituting y = 13000 in equation (i), 

x + 13000 = 35000 

∴ x = 35000 – 13000 = 22000

∴ Amita invested Rs 22000 at the rate of 4% and Rs 13000 at the rate of 5%.