Question

The cost of an article is ₹ 15,500. ₹ 450 were spent on its repairs. If it is sold for a profit of 10%, find the selling price of the article.

Answer 1

✭Question:-

• The cost of an article is ₹ 15,500. ₹ 450 were spent on its repairs. If it is sold for a profit of 10%, find the selling price of the article.

✹Given:-

• Cost price of an article= Rs.15,500
• Money spent on repairs = 450
• Profit percentage=10%

✰To find:-

• The selling price of the article.

✺Solution:-

Now ,

$\sf \: Total \: cost \: price \: will \: be \: cost \: price \: of \: article = Money \: spent \: on \: repair$

$\underline{ \boxed{ \pink{ \mathfrak{CP = Cost \: price \: of \: article + money \: spent \: on \: repair }}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15500 + 450$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15950$

Now,

$\sf \: Profit \: percentage = \frac{profit}{CP} \times 100$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10= \frac{profit \: }{15950} \times 100$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \longrightarrow \frac{10 \times 15950}{100} = profit$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \longrightarrow \frac{ \cancel{10} \times 1595}{ \cancel{10} } = profit$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \longrightarrow 1595 = profit$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\longrightarrow \therefore \: profit =1595$

Now,

Profit= S.P -C.P

$1595 = S.P - 15950$

$S.P = 15950 + 1595$

$S.P =17545$

$\red{ \bf \: \therefore \: the \: S.P \: of \: the \: article \: is \: \boxed{ \underline{ \mathfrak{ \: rs \: .17545}}}}$

Step-by-step explanation:

$\boxed{ \underline{ \pink{ \mathfrak{Learn \: more \: formulas : - }}}}$

• Profit or Gain = Selling price – Cost Price

• Loss = Cost Price – Selling Price

• Profit percentage = (Profit /Cost Price) x 100

• Loss percentage = (Loss / Cost price) x 100

• Discount = MP – SP

• SP = MP -Discount

━━━━━━━━━━━━━━━━━━━━━

Here:-

• S.P= Selling Price
• C.P= Cost price
• M.P= Marked Price