The cost of an article is - nbsp-15500 and nbsp- nbsp-450 is spent on nbsp-its repair- If the article is sold at a profit of nbsp-15-15342-5-18000-18342-5-

The correct option is D 18342.5 C.P = nbsp; nbsp;₹ nbsp;15500 + nbsp;₹ 450 nbsp; nbsp;= ₹ nbsp; nbsp;15950 Profit ...

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Standard VII

Mathematics

Cost Price and Selling Price

The cost of a...

Question

The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15% , then what is the selling price of the article?

14682

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15342.5

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18000

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18342.5

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Solution

The correct option is D
18342.5

C.P = ₹ 15500 + ₹ 450 = ₹ 15950

Profit % = 15 %

⇒ $\frac{P r o f i t}{C o s t P r i c e}$ = $\frac{P r o f i t %}{100}$

⇒ $\frac{P r o f i t}{15950}$ = $\frac{15}{100}$

⇒ Profit = ₹ 2392.50

Profit = S.P - C.P

∴ S.P = Profit + C.P

= ₹ 2392.50 + ₹ 15950

∴ S.P = ₹ 18342.50

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The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15% , then what is the selling price of the article?

The correct option is D 18342.5 C.P = ₹ 15500 + ₹ 450 = ₹ 15950 Profit % = 15 % ⇒ ProfitCostPrice = Profit%100 ⇒ Profit15950 = 15100 ⇒ Profit = ₹ 2392.50 Profit = S.P - C.P ∴ S.P = Profit + C.P = ₹ 2392.50 + ₹ 15950 ∴ S.P = ₹ 18342.50