If the simple interest on Rs. 2000 at 5% p.a. | vedclass

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(B) Let the time be $T$ years and the rate be $R = 5\%$. Simple Interest $(SI)$ on $Rs. 2000$ is given by: $SI = \frac{P 	imes R 	imes T}{100} = \fr

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$5$

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(B) Let the time be $T$ years and the rate be $R = 5\%$. Simple Interest $(SI)$ on $Rs. 2000$ is given by: $SI = \frac{P 	imes R 	imes T}{100} = \frac{2000 	imes 5 	imes T}{100} = 100T$. True Discount $(TD)$ on $Rs. 2500$ (which is the Amount $A$) is given by: $TD = \frac{A 	imes R 	imes T}{100 + (R 	imes T)}$. Given that $SI = TD$,we have: $100T = \frac{2500 	imes 5 	imes T}{100 + 5T}$. Since $T 
eq 0$,we can divide both sides by $T$: $100 = \frac{12500}{100 + 5T}$. $100(100 + 5T) = 12500$. $10000 + 500T = 12500$. $500T = 2500$. $T = 5$ years.

If the simple interest on $Rs. 2000$ at $5\%$ $p.a.$ is equal to the true discount on $Rs. 2500$ for the same time and at the same rate,the time is (in $years$)

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