Math, asked by nileshvpatel1979, 1 year ago

Q.5
What rate gives * 49680 as interest on a sum of 54000 in 4 yea​

Answers

Answered by TRISHNADEVI
1

 \huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \:   \: SOLUTION\:  \: } \mid}}}}}

Let us, assume that, the interest is calculated under Simple Interest. So,

 \underline{ \mathfrak{ \:  \: Given, \:  \: }} \\  \\   \:  \:  \:  \:  \:  \:  \:  \pink{\text{Interest, S.I.  = Rs. 49680}} \\  \\  \:  \:  \:  \:  \:  \:   \:  \: \green{ \text{Principle, P = Rs. 54000}} \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \blue{ \text{Time, n = 4 years}} \\  \\  \underline{ \mathfrak{ \: To \:  \:  find : \to \:  \: }} \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \red{ \text{ Rate of interest, r  = ? }}

 \underline{ \mathfrak{ \:  \: We  \:  \: know \:  \:  that, \:  \: }} \\  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \boxed{ \bold{ \pink{ \:  \: S.I. =  \frac{P \times r \times n}{100}   \:  \: }}}

 \underline{ \bold{ \:  \: A.T.Q., \:  \: }} \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \: \tt{ \pink{49680} =  \frac{ \green{540 \cancel{0} \cancel{0}} \times \red{ r} \times  \blue{4}}{1 \cancel{0 }\cancel{0}} }   \\  \\ \tt{ \implies \: \pink{49680} =  \green{540} \times \red{ r }\times \blue{ 4 }} \\  \\  \tt{ \implies \:  \pink{49680} = 2160 \times  \red{r}} \\  \\  \tt{ \implies \:  \red{r} =  \frac{ \pink{49680}}{2160} } \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \tt{ \therefore \:   \red{r} =  \red{23}}

  \sf{ \:  \: \therefore \:  \: Rate \:  \:  of \:  \:  interest, r  =  \red{23\% \: }}

 \huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \:   \: VERIFICATION\:  \: } \mid}}}}}

 \underline{ \mathfrak{ \:  \:  We  \:  \: have,\:  \: }} \\  \\   \:  \:  \:  \:  \:  \:   \: \: \green{ \text{Principle, P = Rs. 54000}} \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \blue{ \text{Time, n = 4 years}} \\  \\  \red{ \text{ Rate of interest, r  = 23\% }} \\  \\  \underline{ \mathfrak{ \: To \:  \:  find : \to \:  \: }} \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \pink{\text{Interest, S.I.  = ?}}

\tt{ \therefore \:  \pink{S.I}. =  \frac{ \green{540 \cancel{0} \cancel{0} }\times \red{ 23} \times  \blue{4}}{1 \cancel{0 }\cancel{0}} }   \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \tt{ =  \green{540} \times \red{ 23}\times  \blue{4} } \\  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: \tt{ =   \pink{49680} }

 \:  \:  \:  \:  \:  \therefore \:  \pink{\text{Interest, S.I.  =Rs.  49680}}  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \underline{ \bold{ \:  \:  \:  \:  \:  \:  \:  \:  \: Hence  \:  \:  verified. \: }}

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