Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for ...
Let the rate of interest be simple interest =
1422 =
1422 = 324r + 150r
1422 = 474 r
r = 1422 / 474
= 3 percent
Hence, the correct option is (c).
Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for ...
Given Information:
Dalajit lent Rs 10,800 to Jaabir for 3 years.
Dalajit lent Rs 7,500 to Kabir for 2 years.
The total interest received from both Jaabir and Kabir is Rs 1,422.
To Find:
The rate of interest per annum.
Solution:
Let's assume the rate of interest per annum as 'r'.
Calculating Interest for Jaabir:
Principal amount lent to Jaabir = Rs 10,800
Time period = 3 years
Rate of interest per annum = r
Using the formula for simple interest: I = (P * T * R) / 100
Where I is the interest, P is the principal amount, T is the time period, and R is the rate of interest.
The interest received from Jaabir can be calculated as:
Interest from Jaabir = (10,800 * 3 * r) / 100
Calculating Interest for Kabir:
Principal amount lent to Kabir = Rs 7,500
Time period = 2 years
Rate of interest per annum = r
The interest received from Kabir can be calculated as:
Interest from Kabir = (7,500 * 2 * r) / 100
Total Interest Received:
The total interest received from both Jaabir and Kabir is given as Rs 1,422.
So, we can write the equation:
Interest from Jaabir + Interest from Kabir = 1,422
(10,800 * 3 * r) / 100 + (7,500 * 2 * r) / 100 = 1,422
Simplifying the equation further:
(32,400r + 15,000r) / 100 = 1,422
47,400r / 100 = 1,422
474r = 1,422
r = 1,422 / 474
r = 3
Hence, the rate of interest per annum is 3%.
Therefore, the correct answer is option 'C'.