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Find gain or loss percentage for the following
a. Cost price=Rs 6000,overhead expenses=Rs400 and
selling price=Rs8000
b. Cost price=Rs 3800,overhead expenses=Rs 200 and selling
price=Rs 3500
Share
a) 8000-6400
So, its clearly a profit of 1600
Now, put it in formula
1600*100/6400
25 percent profit.
b) Its a loss
A loss of 500
Put it in formula
500*100/4000
A loss of 12.5 percent.
Verified answer
Answer:
[tex]\qquad \:\boxed{\begin{aligned}& \qquad \:\sf \: (a) \: \: Gain \: \% \: = \:25 \: \%\qquad \: \\ \\& \qquad \:\sf \: (b) \: \: Loss \: \% \: = \:12.5 \: \% \end{aligned}} \qquad \\ \\ [/tex]
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-a}}[/tex]
Given that, Cost price = Rs 6000, overhead expenses = Rs 400 and Selling price=Rs8000
So, it means
Total Cost Price = 6000 + 400 = Rs 6400
Selling Price = Rs 8000
Since,
[tex]\sf \:Selling \: Price \: > \: Total \: Cost \: Price \: \: \\ \\ [/tex]
[tex]\sf \: \sf\implies Gain \: in \: this \: transaction. \\ \\ [/tex]
Now,
[tex]\sf \: Gain \: \% \\ \\ [/tex]
[tex]\sf \: = \: \dfrac{Selling \: Price \: - \: Total \: Cost \: Price \: }{Total \: Cost \: Price} \times 100\% \\ \\ [/tex]
[tex]\sf \: = \:\dfrac{8000 - 6400}{6400} \times 100\% \\ \\ [/tex]
[tex]\sf \: = \:\dfrac{1600}{64} \: \% \\ \\ [/tex]
[tex]\sf \: = \:25 \: \% \\ \\ [/tex]
Hence,
[tex]\sf\implies \bf \:Gain \: \% \: = \:25 \: \% \\ \\ \\ [/tex]
[tex]\large\underline{\sf{Solution-b}}[/tex]
Given that, Cost price = Rs 3800, overhead expenses = Rs 200 and Selling price = Rs 3500
So, it means
Total Cost Price = 3800 + 200 = Rs 4000
Selling Price = Rs 3500
Since,
[tex]\sf \: Total \: Cost \: Price \: > \: Selling \: Price \\ \\ [/tex]
[tex]\sf \: \sf\implies Loss \: in \: this \: transaction. \\ \\ [/tex]
Now,
[tex]\sf \: Loss \:\% \\ \\ [/tex]
[tex]\sf \: = \: \dfrac{Total \: Cost \: Price \: - Selling \: Price}{Total \: Cost \: Price} \times 100\% \\ \\ [/tex]
[tex]\sf \: = \: \dfrac{4000 - 3500}{4000} \times 100\% \\ \\ [/tex]
[tex]\sf \: = \: \dfrac{500}{40} \% \\ \\ [/tex]
[tex]\sf \: = \: \dfrac{50}{4} \% \\ \\ [/tex]
[tex]\sf \: = \: 12.5 \% \\ \\ [/tex]
Hence,
[tex]\sf\implies \bf \:Loss \: \% \: = \:12.5 \: \% \\ \\ \\ [/tex]
Thus,
[tex]\sf\implies \: \:\boxed{\begin{aligned}& \qquad \:\sf \: (a) \: \: Gain \: \% \: = \:25 \: \%\qquad \: \\ \\& \qquad \:\sf \: (b) \: \: Loss \: \% \: = \:12.5 \: \% \end{aligned}} \qquad \\ \\ [/tex]