What sum will amount to Rs 6600 in 2 years at 10% per annum simple interest?

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Solution

$\begin{array}{l} Let the sum be Rs x . \\ S .I.= \frac{P×R×T}{100} = \frac{x \times 10 \times 2^{1}}{10 0_{5}} = \frac{x}{5} \\ Now, A = P + S . I \\ A= x + \frac{x}{5} = \frac{6 x}{5} \\ But the amount is Rs 66 00 . \\ ∴ \frac{6 x}{5} = 6600 \\ = > x = \frac{660 0^{1100} \times 5}{6} = 5500 \\ Hence, the required sum is Rs 55 00 . \end{array}$

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What sum will amount to Rs 6600 in 2 years at 10% per annum simple interest?

Let the sum be Rs x.S.I.=P×R×T100=x×10×211005=x5 Now, A=P+S.IA=x+x5=6x5But the amount is Rs 6600.∴6x5=6600=>x=66001100×56=5500Hence, the required sum is Rs 5500.