Question

If the simple interest on a sum of money at 35/4% for 10 years is equal to the simple interest on another sum of money for 7 years at 5%,
find the ratio of two sums.​

Answer 1

Answer:

The ratio is 2:5

Step-by-step explanation:

Let the sum for 10 years be x1

and the sum for 7 years be x2.

Now, R1 = 35/4%

R2 = 5 %

T1 = 10 yrs.

T2 = 7 yrs.

Now, given that both the simple interest are equal.

SI for 10 yrs = SI for 7 yrs

$\frac{x1 \times \frac{35}{4} \times 10}{100} = \frac{x2 \times 5 \times 7}{100} \\ since \: both \: the \: denominators \: are \: equal \\ so \: they \: cancel \: each \: other \\ x1 \times \frac{35}{4} \times 10 = x2 \times 5 \times 7 \\ \frac{x1}{x2} = \frac{5 \times 7 \times 4}{35 \times 10} \\ \frac{x1}{x2} = \frac{4}{10} = \frac{2}{5}$

So the ratio of their sum is 2:5.

Hope you got it