Question

ria lent 6500 to priya for 3 years and 5600 to ananya for 5 years on simple interest at the same rate of interest and recieved 4750 in all from both of them as interest. Find the rate of interest per annum​

Answer 1

Answer:A sum amounts to Rs. 5600 in 4 years and Rs. 6400 in 6 years at a certain rate of simple interest. Find the rate of interest per annum and the sum.

Step-by-step explanation:

Answer 2

The rate of interest = 10% per annum.

Given:

• Amount given to Priya = 6500
• Time for which loan was lend to Priya = 3 years.
• Amount given to Ananya = 5600
• Time for which loan was lend to Ananya = 5 years.
• Sum of their interests = 4750.

To find:
Rate of interest

Step by step explanation:

→ Formula used: -
   $Simple Interest (SI) = \frac{p * r * t}{100}$

Step 1:
Let p be the principal value.
let r be the rate of interest on the principal value.
Let t be the time for which the loan is lent.

Step 2:
Calculating the simple interest for Priya
Simple Interest = $\frac{6500 * r * 3}{100}$
                         = 65 * 3 * r
                         = 195r

Step 3:
Calculating the simple interest for Ananya
Simple Interest = $\frac{5600 * r * 5}{100}$
                         = 56 * 5 * r
                         = 280r

Step 4:
We are given the total interest which is received by Ria = 4750.
The total interest will be = Interest earned + Interest earned
                                               from Priya            from Ananya
⇒ 195r + 280r = 4750
⇒ 475r = 4750
⇒ r = 4750/475
⇒ r = 10      (Answer)

∴ The rate of interest (r) = 10% per annum.

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