By  selling  tea at rs 160 per  kg a grocer gains only 5%by how much he  raise the price  so as to gain 15%

Asked by rukaiyaraja5253 | 26th Dec, 2017, 06:49: PM

Expert Answer:

begin mathsize 16px style Selling space price equals Rs. space 160 space per space Kg
Let space cost space price space per space Kg space is space Rs. space straight x.
Profit space percentage equals 5 percent sign
Profit space percentage equals fraction numerator Selling space price minus Cost space price over denominator Cost space price end fraction cross times 100
5 equals fraction numerator 160 minus straight x over denominator straight x end fraction cross times 100
Solving space this space you space get space straight x space equals space Cost space price equals Rs. space 152.38
To space get space gain space of space 15 percent sign space selling space price space be space Rs. space straight y.
Profit space percentage space equals space 15 percent sign comma space Cost space price equals Rs. space 152.38
Profit space percentage equals fraction numerator Selling space price minus Cost space price over denominator Cost space price end fraction cross times 100
15 equals fraction numerator straight y minus 152.38 over denominator 152.38 end fraction cross times 100
On space simplifying space you space get space straight y equals Selling space price space equals space Rs. space 175.237
Hence comma space to space get space 15 percent sign space gain space he space should space rise space 175.237 minus 152.38 space equals space Rs. space 22.857
end style

Answered by Sneha shidid | 27th Dec, 2017, 10:30: AM