Question

A certain sum amounts to Rs. 3825 in 4 years and to Rs. 4050 in 6 years. find the percent and the sum.​

Answer 1

Step-by-step explanation:

Simple interest for 2 years = Rs. 4050 - Rs. 3825 = Rs. 225

And simple interest for 4 years = Rs. 225*2 = 450 Rs.

So, Principal = Rs. 3825 - Rs.450 = Rs. 3375

Now,

Simple interest = (P*R*T)/100

450 = (3375*R*4)/100

13500R = 45000

R = 45000/13500

Rate of interest = 10/3 %

Therefore, Rate of interest is 10/3 % and Principal is Rs. 3375

Answer 2

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Given:

• Amount in 4 years = Rs. 3825
• Amount in 6 years = Rs. 4050

Need To Find:

• Principal (P) = ?
• Rate (R) = ?

Explanation:

Simple interest for 2 years

➠ 4050 - 3825

➠ Rs. 225

Simple interest for 4 years

➠ 225 × 2

➠ Rs.450

So,

P = Rs 3825 - 450

➠ 3375

• Principal = Rs. 3375

Formula used here:

• SI = P × R × T / 100

Putting the values according to the given formula:

➠ 450 = 3375 × R × 4/100

➠ Then, R = 45000/13500

➠ R = 10/3 %

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Additional Information:

Here,

• P is used for Principal.
• R is used for Rate.
• T is used for Time.
• SI is used for Simple Interest.

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