A vendor bought 100 Orange for rs200 he sold 20 of them at a gain of 5% at what gain - Maths - Arithmetic Progressions

Question

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

Lovina Kansal · Accepted Answer

Dear student
Cost price of 100 oranges=Rs200∴Cost price of 1 orange=Rs 200100=Rs2∴Cost price of 20 oranges=Rs2×20=Rss40Now he sold 20 of them at a profit of 5%Profit%=ProfitCost price×100⇒Profit%=S
P-C PC P×100⇒5=S P-4040×100⇒2=S
P-40⇒S
P=42∴Selling price of 20 oranges=Rs42Now, to make 30% profit on the whole, S
P of 100 oranges would be30=S
P-200200×100⇒60=S P-200⇒S 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

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