Maths-
General
Easy

Question

Find out the simple interest on Rs. 7500 for 2 ½ years at 15  % per annum. Also find the amount

hintHint:

Find the simple interest and then add it with the principal amount to get the total amount.

The correct answer is: 10437.5 Rupees


    Complete step by step solution:
    We calculate simple interest by the formula,S I equals fraction numerator P T R over denominator 100 end fraction…(i)
    where P is Principal amount, T is number of years and R is rate of interest
    Let the sum of money P = 7500 Rs
    Here, we have T = 2.5 years, R equals 15 2 over 3 equals 47 over 3 straight percent sign and P = 7500 Rs
    On substituting the known values in (i), we get S I equals fraction numerator 7500 cross times 2.5 cross times 47 over 3 over denominator 100 end fraction
    not stretchy rightwards double arrow S I equals fraction numerator 7500 cross times 2.5 cross times 47 over 3 over denominator 100 end fraction equals 2937.5
    We have SI = 2937.5 Rupees.
    We know the formula for total amount = A = P + SI…(ii)
    where A is the total amount, P is the principal amount and SI is simple interest.
    On substituting the known values in (ii), we get A = 7500 + 2937.5 = 10437.5
    Hence the simple interest = 2937.5 Rupees
    And total amount  = A = 10437.5 Rupees.

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