Question

9. The cost of article was Rs. 15500, Rs. 450 were spend on its repairs. If it
sold for a profit of 15% find the selling price of the article.​

Answer 1

Given:-

• The cost price of an article = Rs.15500
• Cost of repair = Rs. 450

To Find:-

• The selling price of the article.

Solution:-

Cost of the article = Rs. 15500

Cost of repair = Rs. 450

Total cost of the article = 15500 + 450 = Rs. 15950

Profit % = 15%

$\rm Profit = Profit\% \: of \: CP$

$\rm = 15\% \: of \: 15950$

$\rm = \dfrac{15}{100}\times 15950$

$\rm = 2392.5$

$\rm \therefore Profit = Rs. 2392.4$

Now, Selling Price = Cost Price + Profit

→ SP = 15950 + 2392.5

→ SP = 18342.5

∴ Selling Price of the article = Rs. 18342.5

Alternative Method:-

• Total cost price = Rs.15950
• Profit % = 15%

By using formula:-

$\rm SP = \dfrac{100}{100+Profit\%}\times CP$

$\rm \dashrightarrow SP = \dfrac{100}{100+15}\times 15950$

$\rm \dashrightarrow SP = \dfrac{115}{100}\times 15950$

$\rm \dashrightarrow SP =18342.5$

$\underline{\boxed{\purple{\rm \therefore Selling \: price \: of \: the \: article = Rs.18342.5}}}$

Answer 2

Answer:

Question:-

1. The cost of article was Rs.15,500, Rs.450 were spend on its repairs. If it sold for profit of 15% find the selling price of the article.

Solution:-

C.P of the article = 15,500

Money spent on repairs = 450

Total C.P = 15,000 + 450

               = 15,950

Profit% = 15%

Profit% = $\frac{Profit}{C.P} \times 100$

$15= \frac{Profit}{15,950} \times 100$

$\frac{15 \times 1595}{100} = Profit = \frac{23925}{100} = 2392.5$

S.P = Profit + C.P

     = 2392.5 + 15950

S.P = 18,342.5

      So the required S.P of the article is 18,342.5

Formula used:-

$\bold {Profit= \frac{Profit}{C.P} \times 100}$

S.P = Profit + C.P

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REFER THE ATTACHMENT