Nutan borrowed some money at a rate of 4 p.c. | vedclass

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(B) Let the principal amount borrowed be $P$.Given that the total simple interest $(SI)$ paid is $Rs. 19550$ over a period of $7$ years.The interest i

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$42500$

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(B) Let the principal amount borrowed be $P$.Given that the total simple interest $(SI)$ paid is $Rs. 19550$ over a period of $7$ years.The interest is calculated in three parts:$1$. For the first $3$ years at $4$ $p.c.p.a.$: $SI_1 = \frac{P 	imes 4 	imes 3}{100} = \frac{12P}{100}$$2$. For the next $2$ years at $8$ $p.c.p.a.$: $SI_2 = \frac{P 	imes 8 	imes 2}{100} = \frac{16P}{100}$$3$. For the remaining period ($7 - 3 - 2 = 2$ years) at $9$ $p.c.p.a.$: $SI_3 = \frac{P 	imes 9 	imes 2}{100} = \frac{18P}{100}$Total $SI = SI_1 + SI_2 + SI_3 = 19550$$\frac{12P + 16P + 18P}{100} = 19550$$\frac{46P}{100} = 19550$$P = \frac{19550 	imes 100}{46} = 42500$Thus,the total money borrowed is $Rs. 42500$.

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