What is magnetic force ?
Answers
Explanation:
what is magnet magnetic force
Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion. It is the basic forceresponsible for such effects as the action of electric motors and the attraction of magnets for iron.
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Answer:
\begin{gathered}\\\large{\underline{\underline{\sf{\pmb{Question:}}}}}\end{gathered}Question:Question:
A tricycle is sold at a gain of 15%. Had it been sold for 27 more, the profit would have been 20%. Find its cost price.
\begin{gathered}\\\large{\underline{\underline{\sf{\pmb{Required \: Answer:}}}}}\end{gathered}RequiredAnswer:RequiredAnswer:
\begin{gathered} \\ \underline{\underline{\sf{\pmb{Given:}}}}\end{gathered}Given:Given:
\begin{gathered}\\\sf{\rightarrow{The \: Tricycle \: is \: sold \: at \: a \: gain \: of \: 15\%}}\end{gathered}→TheTricycleissoldatagainof15%
\sf{\rightarrow{It \: would \: have \: been \: a \: profit \: of \: 20 \% \: if \: it \: had \: been \: sold \: for \: 27 \: more.}}→Itwouldhavebeenaprofitof20%ifithadbeensoldfor27more.
\begin{gathered} \\ \underline{\underline{\sf{\pmb{To \: Find:}}}}\end{gathered}ToFind:ToFind:
\begin{gathered} \\ \sf{\rightarrow{The \: cost \: price \: of\: the \: tricycle.}}\end{gathered}→Thecostpriceofthetricycle.
\begin{gathered} \\ \underline{\underline{\sf{\pmb{Solution:}}}}\\\end{gathered}Solution:Solution:
Let us assume that , the cost price of the tricycle is x
Now, let's take a careful look at the question. We are told that the tricycle was sold at a gain of 15% . Which means the gain was 15% on the cost price. Again, it would be gain of 20% if it had been sold for 27 more. This means, the difference of the sum of money between the gain of 15% and the gain of 20% is 27.
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Let's solve this!
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\sf{In \: 15\% \: gain, \: the \: cost \: price \: is = \: \bold{x \times 15\% }}In15%gain,thecostpriceis=x×15%
\sf{\rightarrow{In \: 15\% \: gain, \: the \: cost \: price \: is = \: \bold{x \times \dfrac{15}{100} }}}→In15%gain,thecostpriceis=x×10015
\begin{gathered} \sf{\rightarrow{In \: 15\% \: gain, \: the \: cost \: price \: is = \: \bold{ \dfrac{15x}{100}} \blue{ - - - - - - - - - - - (1)} }}\\\end{gathered}→In15%gain,thecostpriceis=10015x−−−−−−−−−−−(1)
Again,
If the gain was 20%,
\sf{In \: 20\% \: gain, \: the \: cost \: price \: is = \: \bold{x \times 20\% }}In20%gain,thecostpriceis=x×20%
\sf{\rightarrow{In \: 20\% \: gain, \: the \: cost \: price \: is = \: \bold{x \times \dfrac{20}{100} }}}→In20%gain,thecostpriceis=x×10020
\begin{gathered} \sf{\rightarrow{In \: 20\% \: gain, \: the \: cost \: price \: is = \: \bold{ \dfrac{20x}{100} \blue{ - - - - - - - - - - (2)}}}}\\\end{gathered}→In20%gain,thecostpriceis=10020x−−−−−−−−−−(2)
From equation 1 and 2 , we can write:-
\bold{\tt{ \dfrac{15x}{100} - \dfrac{20x}{100} = 27}}10015x−10020x=27
\begin{gathered}\\\implies{\tt{ \dfrac{15x - 20x}{100} = 27}}\end{gathered}⟹10015x−20x=27
\begin{gathered}\\\implies{\tt{ \dfrac{15x - 20x}{100} = 27 }}\end{gathered}⟹10015x−20x=27
\begin{gathered} \\ \implies{\tt{15x - 20x = 2700}} \: \: \: \: \: \: \boxed{\rm{Multiplying \: both \: sides \: by \: 100}}\end{gathered}⟹15x−20x=2700Multiplyingbothsidesby100
\begin{gathered}\\\implies{\tt{5x = 2700}}\end{gathered}⟹5x=2700
\begin{gathered} \\ \implies{\tt{x = \frac{2700}{5} }} \: \: \: \: \: \: \: \boxed{\rm{Dividing \: both \: sides \: by \: 5}}\end{gathered}⟹x=52700Dividingbothsidesby5