On what sum of money will the compound interest for $2$ years at $5$ percent per annum amount to Rs. $768 \cdot 75$ ?

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Solution

Let principal amount $= P$
$P + 768.75 = P {(1 + \frac{5}{100})}^{2}$
$= P {(1.05)}^{2}$
$\Rightarrow P + 768.75 = (1.1025) P$
$\Rightarrow 768.75 = 0.1025 P$
$\Rightarrow P = \frac{768.75}{0.1025} = 7500$

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On what sum of money will the compound interest for 2 years at 5 percent per annum amount to Rs. 768⋅75?

Let principal amount =PP+768.75=P(1+5100)2 =P(1.05)2⇒P+768.75=(1.1025)P⇒768.75=0.1025P⇒P=768.750.1025=7500

On what sum of money will the compound interest for $2$ years at $5$ percent per annum amount to Rs. $768 \cdot 75$ ?

Let principal amount $= P$
$P + 768.75 = P {(1 + \frac{5}{100})}^{2}$
$= P {(1.05)}^{2}$
$\Rightarrow P + 768.75 = (1.1025) P$
$\Rightarrow 768.75 = 0.1025 P$
$\Rightarrow P = \frac{768.75}{0.1025} = 7500$