Question

At what rate the difference in simple interest and compound interest on the sum of ₹3375 for 3 year is 46​?

Answer 1

$Given \: Principal (P) = Rs\:3375 \\Difference \:in \: simple \: Interest \:and \\ Compound \: interest = Rs \:46$

$Time (T) = 3 \: years$

$Let \:rate \:of \: Interest = r$

$We \: know \:that ,$

$\pink { Difference \: between \:s.i \:and \:c.i }\\\pink { on \:a \: certain \:sum \:for \:3 \: years \:at }\\\pink { the \:same \:rate \:of \: Interest \: is }$

$\boxed { \orange { P\Big(\frac{r}{100}\Big)^{2}[3+\frac{r}{100}] }}$

/* According to the problem given */

$c.i - s.i = 46$

$\implies 3375\Big(\frac{r}{100}\Big)^{2}[3+\frac{r}{100}] = 46$

/* By trail and error */

$\implies r = 6.67 \%$

Therefore.,

$\red { Required \: rate (r) } \green { = 6.67 \% }$

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