Question

please help me with the questions in the below photo pls ​

Answer 1

Answer:

Question :

»» Find the cost price of an article, which is sold for Rs.4050 at a loss of 10%. Also, find the new selling price of the article which must give a profit of 8%.

Given :

• »» Selling Price = Rs.4050
• »» Lose percentage = 10%

To Find :

• »» Selling price of the article which must give a profit of 8%.

Using Formulas :

${\longrightarrow{\small{\underline{\boxed{\sf{\red{C.P = \frac{100}{100 - L\%} \times S.P}}}}}}}$

${\longrightarrow{\small{\underline{\boxed{\sf{\red{S.P = \frac{100 + P\%}{100} \times C.P}}}}}}}$

• »» C.P = Cost Price
• »» S.P = Selling
• »» L% = Loss percent
• »» P% = Profit percent

Solution :

✒ Finding the cost price at a loss of 10% by substituting the values in the formula :

${\implies{\sf{C.P = \dfrac{100}{100 - L\%} \times S.P}}}$

${\implies{\sf{C.P = \dfrac{100}{100 - 10} \times 4050}}}$

${\implies{\sf{C.P = \dfrac{100}{90} \times 4050}}}$

${\implies{\sf{C.P = \dfrac{100}{\cancel{90}} \times \cancel{4050}}}}$

${\implies{\sf{C.P = 100 \times 45}}}$

${\implies{\sf{\underline{\underline{\pink{C.P = Rs.4500}}}}}}$

Hence, the cost price of article is Rs.4500.

$\rule{300}{1.5}$

✒ Now, finding the selling price at profit of 8% by substituting the values in the formula :

${\implies{\sf{S.P = \dfrac{100 + P\%}{100} \times C.P}}}$

${\implies{\sf{S.P = \dfrac{100 + 8}{100} \times 4500}}}$

${\implies{\sf{S.P = \dfrac{108}{100} \times 4500}}}$

${\implies{\sf{S.P = \dfrac{108}{\cancel{100}} \times \cancel{4500}}}}$

${\implies{\sf{S.P = 108 \times 45}}}$

${\implies{\sf{\underline{\underline{\pink{S.P = Rs.4860}}}}}}$

Hence, the selling price of article is Rs.4860.

Learn More :

${\dashrightarrow{\underline{\boxed{\sf{\purple{P = SP - CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{L = CP - SP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{P \% = \dfrac{P}{CP} \times 100}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{L \% = \dfrac{L}{CP} \times 100}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{SP = \frac{100 + P\%}{100} \times CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{SP = \frac{100 - L\%}{100} \times CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{CP = \frac{100}{100 + P \%} \times SP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{CP = \frac{100}{100 - L\%} \times SP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{Discount = MP - SP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{SP = MP - Discount}}}}}}$

Where :

• »» P = Profit
• »» L = Loss
• »» P% = Profit%
• »» L% = Loss%
• »» C.P = Cost Price
• »» S.P = Selling Price
• »» M.P = Marked Price

$\underline{\rule{200pt}{3pt}}$