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Error in the question :- There should be 3 times of cost price rather than selling price
Correct question :- A radio when sold at a certain price gives a gain of 20 %. What will be the gain percent, if it were to be sold for thrice
the cost price?
GIVEN :-
A radio when sold at a certain price gives a gain of 20 %.
Selling Price = 3 × Cost Price
TO FIND :- Gain percent
SOLUTION :-
\begin{gathered}gain\% = \frac{gain}{cp} \times 100 \\ \\ \\ \implies 20 = \frac{gain \times 100}{cp} \\ \\ \\ \implies \frac{gain}{cp} = \frac{20}{100} = \frac{1}{5}\end{gathered}gain%=cpgain×100⟹20=cpgain×100⟹cpgain=10020=51
Gain = Sp - Cp
=> Gain = 3CP - CP
=> Gain = 2CP
\begin{gathered}gain\% = \frac{gain}{cp} \times 100 \\ \\ \\ = \frac{2cp}{cp} \times 100 \\ \\ = 2 \times 100 \\ \\ = 200\%\end{gathered}gain%=cpgain×100=cp2cp×100=2×100=200%
Hence answer is 200%.
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