Ram borrowed Rs. 725 from Shyam at the beginn | vedclass

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(A) Let the first rate of interest be $R\%$. Then the second rate of interest is $2R\%$.For the first loan: Principal $P_1 = 725$,Time $T_1 = 1$ year,

Vedclass · Accepted Answer

$4.5$

Vedclass · Answer

(A) Let the first rate of interest be $R\%$. Then the second rate of interest is $2R\%$.For the first loan: Principal $P_1 = 725$,Time $T_1 = 1$ year,Rate $R_1 = R$.Interest $I_1 = \frac{725 	imes R 	imes 1}{100} = 7.25R$.For the second loan: Principal $P_2 = 362.50$,Time $T_2 = \frac{4}{12} = \frac{1}{3}$ year,Rate $R_2 = 2R$.Interest $I_2 = \frac{362.50 	imes 2R 	imes (1/3)}{100} = \frac{725R}{300} = 2.4166...R$.Total interest $I_1 + I_2 = 43.50$.$7.25R + 2.4166...R = 43.50$.$9.666...R = 43.50 \Rightarrow \frac{29}{3}R = 43.50$.$R = \frac{43.50 	imes 3}{29} = 1.5 	imes 3 = 4.5\%$.Thus,the first rate of interest is $4.5\%$ per annum.

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