• # question_answer By selling an article for Rs.1000, a man loses 30%. At what price should he sell it in order to gain 20%? A)  Rs.1200                       B)  Rs.2000        C)  Rs.$1714\frac{3}{7}$  D)  Rs.$1822\frac{4}{7}$

Correct Answer: C

Solution :

(c): Let loss in % age be ${{x}_{1}}$and gain in % age be ${{x}_{2}}\Rightarrow {{x}_{1}}=30,{{x}_{2}}=20$ We have, $\frac{S.{{P}_{1}}}{100-{{x}_{1}}}=\frac{S.{{P}_{2}}}{100+{{x}_{2}}}$ $S.{{P}_{2}}=Rs.\,1000\times \frac{120}{70}=Rs.\frac{1200}{7}=1714\frac{2}{7}$

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