Question

Ravish bought 100 articles for ₹ 4000. He sold 20 of them at a gain of 5%. At what gain per cent must he sell the remaining articles so as to gain 20% on the whole?

Answer 1

Hi,

Cost price of 100 articles=₹4000

Cost price of 1 article = ₹40

Cost price of 20 articles =₹800

Gain on 20 articles =5/100*cost price of 20 articles=5/100*800=₹40(as gain on whole is 5%)

Selling price of 20 articles=₹840

Gain of 100 articles=20/100*cost price of 100 articles =20/100*4000=₹800(as gain on whole is 20%)

Selling price of 100 articles=₹4800

Selling price of 80 articles=4800-840=₹3960

Cost price of 80 articles=80*40=3200

Gain on 80 articles= Selling price of 80 articles-Cost price of 80 articles=3960-3200=₹760

Gain% on 80 articles = Gain on 80 articles /Cost price of 80 articles*100=760/3200*100= 23.75%

#Hope it helps

Answer 2

16%
Because 80 articles are remain to sell which must be sold at 640Rs profit. So it is 16%.