A lends Rs.1800 to B and a certain sum to C at the same time at 8% annual simple interest.If after 3years.A all together receives Rs.5760 as interest from B and C, the sum lent to C is*1 point1) Rs.7002) Rs.600Rs.400Rs.1500
Question
A lends Rs.1800 to B and a certain sum to C at the same time at 8% annual simple interest.If after 3years.A all together receives Rs.5760 as interest from B and C, the sum lent to C is*1 point1) Rs.7002) Rs.600Rs.400Rs.1500
Solution
The problem involves simple interest calculation. The formula for simple interest is I = PRT/100, where I is the interest, P is the principal amount (the initial amount of money), R is the rate of interest, and T is the time in years.
First, let's calculate the interest received from B.
P = Rs.1800 (the amount lent to B) R = 8% (the annual interest rate) T = 3 years (the time period)
Substitute these values into the formula:
I = PRT/100 I = 1800 * 8 * 3 / 100 I = Rs.432
So, A receives Rs.432 as interest from B.
According to the problem, A receives a total of Rs.5760 as interest from B and C. So, the interest received from C is Rs.5760 - Rs.432 = Rs.5328.
Now, let's find out the principal amount lent to C. We know that the interest rate and the time period are the same as for B, so R = 8% and T = 3 years.
Rearrange the simple interest formula to find P:
P = I * 100 / (R * T) P = 5328 * 100 / (8 * 3) P = Rs.22200
So, A lent Rs.22200 to C.
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