A vendor bought 100 Orange for rs200 he sold 20 of them at a gain of 5% at what gain percent must he sell the reminder so as to gain 30% on the whole

Dear student
Cost price of 100 oranges=Rs200Cost price of 1 orange=Rs 200100=Rs2Cost price of 20 oranges=Rs2×20=Rss40Now he sold 20 of them at a profit of 5%Profit%=ProfitCost price×100Profit%=S.P-C.PC.P×1005=S.P-4040×1002=S.P-40S.P=42Selling price of 20 oranges=Rs42Now, to make 30% profit on the whole, S.P of 100 oranges would be30=S.P-200200×10060=S.P-200S.P=260So, S.P of 100 oranges=Rs260and S.P of initial sold 20 oranges=Rs42Therefore, S.P of remaining 80 should be = Rs(260-42)=Rs218Profit%=ProfitC.P×100=S.P-C.PC.P×100=218-160160×100   C.P of 80 oranges=Rs2×80=Rs160=36.25%Hence, the remaining 80 oranges should be sold at a profit of 36.25%
Regards

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