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

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(C) Let the principal sum be $₹ x$.The simple interest is calculated as $SI = \frac{P 	imes R 	imes T}{100}$.For the first $2$ years at $4 \%$ p.a.:

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$2000$

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(C) Let the principal sum be $₹ x$.The simple interest is calculated as $SI = \frac{P 	imes R 	imes T}{100}$.For the first $2$ years at $4 \%$ p.a.: $SI_1 = \frac{x 	imes 4 	imes 2}{100} = \frac{8x}{100}$.For the next $4$ years at $6 \%$ p.a.: $SI_2 = \frac{x 	imes 6 	imes 4}{100} = \frac{24x}{100}$.For the remaining period of $9 - (2 + 4) = 3$ years at $8 \%$ p.a.: $SI_3 = \frac{x 	imes 8 	imes 3}{100} = \frac{24x}{100}$.The total simple interest is $SI_1 + SI_2 + SI_3 = 1120$.$\frac{8x + 24x + 24x}{100} = 1120$$\frac{56x}{100} = 1120$$56x = 112000$$x = \frac{112000}{56} = 2000$.Thus,the sum is ₹ $2000$.

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

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