A dealer bought 100 article for rs4000. At what rate he sell the remaining article to gain 10 percentage
Answers
Answer:
23.75%
Step-by-step explanation:
Let the selling price of 20 articles be Rs
Cost of 100 articles =Rs.4000
Therefore,
Cost price of 1 articles =
100
4000
=Rs.40
Given that Ravish sold 20 articles at a gain of 5%.
Cost of 20 articles =
100
4000
×20=Rs.800
Let the selling price of 20 articles be Rs.x.
Therefore,
x=800+5% of 800
x=800+
100
5
×800
⇒x=800+40=840
Now to get 20% gain on whole transaction,
Selling price of all the articles should be 120% of cost price.
Let the selling price of all the articles be Rs.y
Therefore,
y=4000+20% of 4000
y=4000+
100
20
×4000
⇒y=4000+800=4800
Now,
Selling price of 80 articles =4800−840=Rs.3960
Cost price of 80 articles =40×80=Rs.3200
Gain =3960−3200=Rs.760
Therefore,
Gain % on 80 articles =
3200
760
×100=23.75%
Hence Ravish must sell the remaining articles at 23.75% gain.