If the difference between the interest and the amount of discount, on a certain sum of money for six
months at 6% be Rs. 2.25 P. Find the sum.
(A) Rs. 2474
(B) Rs. 2575
(C) Rs. 2500
(D) Rs. 2750
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Given : the difference between the interest and the amount of discount, on a certain sum of money for six months at 6% be Rs. 2.25
To Find : The Sum
(A) Rs. 2474
(B) Rs. 2575
(C) Rs. 2500
(D) Rs. 2750
Solution:
Amount = ( Difference * ( 100 + RT) * 100) /( RT)²
Difference= 2.25
R = 6 %
T = 1/2 Year
Amount = [2.25 x (100 + 6 x 1/2) x 100] / [(6 x 1/2)²]
= (225 x 103) / 9
= 25 x 103
= 2575
the sum = Rs 2575
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