The rate of interest on a sum is 4 % per annu | vedclass

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(B) Let the principal sum be $P$.The simple interest formula is $SI = \frac{P 	imes R 	imes T}{100}$.Given the interest rates for different periods:

Vedclass · Accepted Answer

$2000$

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(B) Let the principal sum be $P$.The simple interest formula is $SI = \frac{P 	imes R 	imes T}{100}$.Given the interest rates for different periods:For the first $2$ years $(T_1 = 2)$,$R_1 = 4 \%$.For the next $4$ years $(T_2 = 4)$,$R_2 = 6 \%$.For the remaining period ($T_3 = 9 - 2 - 4 = 3$ years),$R_3 = 8 \%$.The total simple interest is given by $SI = P 	imes \left( \frac{R_1 T_1}{100} + \frac{R_2 T_2}{100} + \frac{R_3 T_3}{100} ight)$.$1120 = P 	imes \left( \frac{4 	imes 2}{100} + \frac{6 	imes 4}{100} + \frac{8 	imes 3}{100} ight)$.$1120 = P 	imes \left( \frac{8 + 24 + 24}{100} ight)$.$1120 = P 	imes \left( \frac{56}{100} ight)$.$P = \frac{1120 	imes 100}{56} = 20 	imes 100 = 2000$.Thus,the sum is ₹ $2000$.

The rate of interest on a sum is $4 \%$ per annum for the first $2$ years,$6 \%$ per annum for the next $4$ years,and $8 \%$ per annum for the period beyond $6$ years. If the simple interest accrued by the sum for a total period of $9$ years is ₹ $1120$,find the sum. (In ₹)

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