Nitin borrowed some money at the rate of 6 % | vedclass

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Question

(A) Let the principal amount borrowed by Nitin be $₹ x$.The total time period is $11 	ext{ years}$.Interest for the first $3 	ext{ years}$ at $6 \%

Vedclass · Accepted Answer

$8000$

Vedclass · Answer

(A) Let the principal amount borrowed by Nitin be $₹ x$.The total time period is $11 	ext{ years}$.Interest for the first $3 	ext{ years}$ at $6 \% 	ext{ p.a.} = x 	imes 3 	imes \frac{6}{100} = \frac{18x}{100}$.Interest for the next $5 	ext{ years}$ at $9 \% 	ext{ p.a.} = x 	imes 5 	imes \frac{9}{100} = \frac{45x}{100}$.Interest for the remaining period $(11 - 3 - 5 = 3 	ext{ years})$ at $13 \% 	ext{ p.a.} = x 	imes 3 	imes \frac{13}{100} = \frac{39x}{100}$.Total interest = $\frac{18x}{100} + \frac{45x}{100} + \frac{39x}{100} = 8160$.$\frac{102x}{100} = 8160$.$x = \frac{8160 	imes 100}{102} = 8000$.Therefore,the amount borrowed by Nitin is $₹ 8000$.

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