Question

Question:-

The simple interest on a certain sum for 3½ years at 16% per annum is 390 more than the simple interest on the same sum for 2½ years at 12% per annum. Find the sum.

Please Give step-by-step Answer! ​

Answer 1

Step-by-step explanation:

Let the sum be x

case (i)

Principle = x, Rate = 7%, time = 3.5 yrs

Interest = \frac{PTR}{100}

100

PTR

= \frac{x (7)(3.5)}{100}

100

x(7)(3.5)

= \frac{24.5x}{100}

100

24.5x

case (ii)

Principle = x, Rate = 5%, time = 4 yrs

Interest = \frac{PTR}{100}

100

PTR

= \frac{x (5)(4)}{100}

100

x(5)(4)

= \frac{20x}{100}

100

20x

given that, the simple interest for case (i) is Rs 225 more than the simple interest for case (ii)

\frac{24.5x}{100} - \frac{20x}{100} = 225

100

24.5x

−

100

20x

=225

\frac{4.5x}{100}

100

4.5x

= 225

x = \frac{22500}{4.5}

4.5

22500

x = 5000

The sum = Rs 5000

Answer 2

Answer:

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