The true discount on a certain sum of money due $3$ years hence is Rs. $250$ and the simple interest on the same sum for the same time and at the same rate is Rs. $375$ . Find the sum and the rate percent.

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Solution

T.D $=$ Rs. $250$ and S.I $=$ Rs. $375$
Sum due $= \frac{S . I \times T . D}{S . I - T . D} = \frac{375 \times 250}{375 - 250} = \frac{375 \times 250}{125} = 375 \times 2 =$ Rs. $750$
Rate $= \frac{100 \times 375}{750 \times 3} % = \frac{50}{3} % = 16 \frac{2}{3} %$

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The true discount on a certain sum of money due 3 years hence is Rs.250 and the simple interest on the same sum for the same time and at the same rate is Rs.375. Find the sum and the rate percent.

T.D=Rs.250 and S.I=Rs.375Sum due=S.I×T.DS.I−T.D=375×250375−250=375×250125=375×2=Rs.750Rate=100×375750×3%=503%=1623%

The true discount on a certain sum of money due $3$ years hence is Rs. $250$ and the simple interest on the same sum for the same time and at the same rate is Rs. $375$ . Find the sum and the rate percent.

T.D $=$ Rs. $250$ and S.I $=$ Rs. $375$
Sum due $= \frac{S . I \times T . D}{S . I - T . D} = \frac{375 \times 250}{375 - 250} = \frac{375 \times 250}{125} = 375 \times 2 =$ Rs. $750$
Rate $= \frac{100 \times 375}{750 \times 3} % = \frac{50}{3} % = 16 \frac{2}{3} %$