a washing machine was marked 40% above its cost price and a discount of 25% was given on it . find the gain or loss percent to the trader
Answers
Answer:
5percent
Step-by-step explanation:
Assumption
\textbf{\underline{Cost\;Price\;of\;Article}}
CostPriceofArticle
= 100n
\textbf{\underline{Marked\;40\;Percent\;above\;its\;cost\;price}}
Marked40Percentaboveitscostprice
{\boxed{\sf\:{Marked\;Price}}}
MarkedPrice
\tt{\rightarrow 100n+\dfrac{40}{100}\times 100n}→100n+
100
40
×100n
= 140n
\textbf{\underline{Price\;and\;discount\;of\;25\;Percent}}
Priceanddiscountof25Percent
Now,
Discount = 25℅
\tt{\rightarrow\dfrac{25}{100}\times 140n}→
100
25
×140n
= 35n
\textbf{\underline{Selling\;Price}}
SellingPrice
{\boxed{\sf\:{Marked\;Price-Discount}}}
MarkedPrice−Discount
= 140n - 35n
= 105n
{\boxed{\sf\:{Gain}}}
Gain
= 105n - 100n
= 5n
{\boxed{\sf\:{Gain\;Percentage}}}
GainPercentage
\tt{\rightarrow\dfrac{5n}{100n}\times 100}→
100n
5n
×100
= 5%