Question

if 5% more is gained by selling an article for rupees 350 than by selling it for rupees 340 then the cost of the article is

Answer 1

Let the cost of article be x

when SP = 350
P% = (350-x)/x*100

when SP = 340
P% = (340-x)/x*100

5% more is gained by selling article for rs. 350 than for 340

(350-x)/x - (340-x)/x = 5/100
10/x = 5/100
x = 200

hope it helps

#AJ

Answer 2

Let Cost price of the article = Rs X

When SP is Rs 340, then gain %={(340−X)/X}×100

When SP is Rs 350, then gain %={(350−X)/X}×100

Hence Additional % gain {(350−X)/X}− {(340−X)/X}×100

Hence {(350−X)/X}×100− {(340−X)/X}×100 = 5

→35000−100− 34000+ 100X) = 5X

or 5X = 1000

or X = Rs 200