Question

Vinnie bought 50kg tomotoes.5kg are found rottonand she throw themaway.she sold the remaining and charged for 4kg as much as she paid for 5kg.find her gain or loss percent

Answer 1

Let Vinnie bought 50 kg tomatoes at the rate of
x rupees/kg.
so that total cost price(c.s) = 50x rupees
Among 50 kg of tomatoes 5kg tomatoes were useless. she threw away them.
Now remaining amount = 45 kg.
let,
sell price(s.p) = y rupees/ kg.
total sell price = 45y
a/q
s.p of 4 kg tomatoes = c.p of 5 kg tomatoes
or, 4y = 5x
or, y = 5x/4 ---------Eqn(i)

profit(G) = total sell price - total cost price
or, G = s.p - c.p
G = 45y - 50x
from Eqn(i)
G = 45*5x/4 - 50x
or, G = 225x/4 - 50x
or, G = (225x - 200x)/4
or, G = 25x/4
hence,
G % = (G × 100) ÷ (c.p)
G % = (25x×100)/4*50x
G % = 25/2 = 12.5 %

Answer 2

Assume that Vinnie paid x for 5kg and she spent 50/10x=10x After the threw away some tamato s its remained 50-5=45kg 45/4x=11,25x thus,the gain 11,25x/10×100%=12,5% Vinnie gained 12.5%