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(C) Let the principal amount borrowed be ₹ $x$.The total time period is $9$ years.Interest for the first $2$ years at $6 \% 	ext{ p.a.} = x 	imes \f

Vedclass · Accepted Answer

$12000$

Vedclass · Answer

(C) Let the principal amount borrowed be ₹ $x$.The total time period is $9$ years.Interest for the first $2$ years at $6 \% 	ext{ p.a.} = x 	imes \frac{6}{100} 	imes 2 = \frac{12x}{100}$.Interest for the next $3$ years at $9 \% 	ext{ p.a.} = x 	imes \frac{9}{100} 	imes 3 = \frac{27x}{100}$.Interest for the remaining period ($9 - 2 - 3 = 4$ years) at $14 \% 	ext{ p.a.} = x 	imes \frac{14}{100} 	imes 4 = \frac{56x}{100}$.Total interest = $\frac{12x + 27x + 56x}{100} = \frac{95x}{100}$.Given that the total interest is ₹ $11,400$,we have:$\frac{95x}{100} = 11400$.$x = \frac{11400 	imes 100}{95}$.$x = 120 	imes 100 = 12000$.Therefore,the amount borrowed is ₹ $12,000$.

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