Question

Divide ₹17100 into two parts such that the simple interest on the first part for 3 years at 7% per annum is equal to the simple interest on the second part for 4 years at 9% per annum

Answer 1

Answer:

first part is 10800 and second part 6300

Step-by-step explanation:

let first part is x then second part (17100-x)

according to the question

x×3×7/100=[(17100-x)×4×9]/100

7x=(17100-x)×12

19x=17100×12

x=10800

Answer 2

The sum of Rs. 10800 at 7% and Rs. 6300 at 9%.

Step-by-step explanation:

Let the sum at 7% p.a. for 3 years be 'x'.

Let the sum at 9% p.a. for 4 years be 17100-x

According to question,

Interest on first part = Interest on second part

$\dfrac{x\times 7\times 3}{100}=\dfrac{17100-x\times 4\times 9}{100}\\\\21x=36(17100-x)\\\\21x=615600-36x\\\\21x+36x=615600\\\\57x=615600\\\\x=\dfrac{615600}{57}\\\\x=10800$

So, AT 9% p.a., sum would be 17100-10800=Rs. 6300

Hence, the sum of Rs. 10800 at 7% and Rs. 6300 at 9%.

# learn more:

Divide rs 17100 into two parts such that the simple interest on the first part for 3 years at 7% per annum is equal to the simple interest on the second part for 4 years at 9% per annum?

https://brainly.in/question/8133240