Question

selling price of two television is 4500 if one television sold 20℅ profit and other 20℅ lass what's the profit or lass percentage​

Answer 1

$\large{\boxed{\red{Answer:Loss=4\%}}}$

$\large{\boxed{\purple{Solution:}}}$

Let the CP (Cost price) be X.

Price of one television is 4500÷2=2250

▶️First television CP:

➡️SP (Selling price) = 2250

➡️Profit = 20%

➡️CP = X

➡️x = $\frac{100×SP}{100+Profit\%}$

➡️x = $\frac{100×2250}{100+20}$

➡️x = $\frac{225000}{120}$

➡️CP of first television = ₹1,875

▶️Second Television CP:

➡️SP (Selling price) = 2250

➡️Loss = 20%

➡️CP = X

➡️x = $\frac{100×SP}{100-Loss\%}$

➡️x = $\frac{100×2250}{100-20}$

➡️x = $\frac{225000}{80}$

➡️CP of second television = ₹2,812.5

▶️Loss or Profit percent of both television:

➡️SP of both television = 2250+2250=₹4500

➡️CP of both television = 1875+2812.5=₹4,687.5

➡️SP < CP = Loss = CP - SP

➡️4687.5-4500

➡️187.5

➡️Loss on both television = ₹187.5

▶️Loss percent on both television:

➡️Loss% = $\frac{Loss}{CP}$× 100

➡️Loss% = $\frac{187.5}{4687.5}$× 100

➡️Loss% = $\frac{18750}{9370}$

➡️Loss% = 4

Loss % on both television = 4%

$\Large{\boxed{Loss\:=\:4\%}}$