A part of Rs. 38800 is lent out at 72 % per a | vedclass

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(A) Let the first part be $x$. Then the second part is $(38800 - x)$.The first part is lent for $6$ months ($0.5$ years). The interest on the first pa

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$28800$

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(A) Let the first part be $x$. Then the second part is $(38800 - x)$.The first part is lent for $6$ months ($0.5$ years). The interest on the first part is $I_1 = x 	imes 0.72 	imes 0.5 = 0.36x$.The second part is lent after $1$ year. Since the total time is $3$ years from the start,the second part is lent for $(3 - 1) = 2$ years. The interest on the second part is $I_2 = (38800 - x) 	imes 0.05 	imes 2 = 0.1(38800 - x)$.Given the ratio of interests is $5:4$:$\frac{0.36x}{0.1(38800 - x)} = \frac{5}{4}$$4 	imes 0.36x = 5 	imes 0.1(38800 - x)$$1.44x = 0.5(38800 - x)$$1.44x = 19400 - 0.5x$$1.94x = 19400$$x = 10000$The second part is $(38800 - 10000) = 28800$ Rs.

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