Answer:
6) Selling price = ₹ 1608
Labelled price = ₹ 2010
7) Profit percentage = 10.5%
Step-by-step explanation:
Finding the selling price:
6) Cost Price = ₹ 1200
[tex]\sf Profit = 33\dfrac{1}{3} \% * Cost\ price\\\\[/tex]
[tex]\sf = \dfrac{102}{300}*1200\\\\ = 102 * 4\\\\[/tex]
= ₹ 408
Selling price = Cost price + Profit
= 1200 + 408
= ₹ 1608
Let the labelled price = x
Discount % = 20%
(100-20)% of x = 1200 + 408
80% of x = 1608
[tex]\sf x = 1608*\dfrac{100}{80}\\\\[/tex]
x = ₹ 2010
Answer: Selling price = ₹ 1608
Labelled price = ₹ 2010
7) Let the Cost price = ₹ X
Marked price = (100 + 30)% of Cost price
[tex]\sf = \dfrac{130}{100}X\\\\ = 1.3 X[/tex]
Discount% = 15%
Selling price = (100 - 15)% of 1.3X
= 85% * 1.3X
= 0.85 * 1.3X
= 1.105X
[tex]\sf \boxed{\bf Profit \% =\dfrac{Selling \ price - Cost \ Price}{Cost \ price }*100}[/tex]
[tex]\sf = \dfrac{1.105X - X}{X}*100\\\\ = \dfrac{0.105X}{X}*100\\\\ = 0.105*100\\\\ = 10.5 \%[/tex]
