Question

19. There would be 15% loss if sugar is sold at Rs.10.2 per kg. If a profit of 10% is to be earned, at what price should sugar be sold?
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Answer 1

Step-by-step explanation:

Let the cost price be x.

So as per the question, x - 15% of x = ₹10.2

x-15/100x=₹10.2

100/100x- 15/100x=₹10.2

85x/100=₹10.2

$x = \frac{100 \times 102}{85 \times 10}$

x=₹12

Profit for 10%

CP of sugar =₹12

so , ₹12 + 10% of ₹12

₹12+₹1.2=₹13.2

₹13.2 is the answer for your question.

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Answer 2

Answer:

Rs. 13.2 per kg

Step-by-step explanation:

Let the purchase price = x

with 15% loss, selling price = 10.2 per kg

Now

$x - \frac{x* 15}{100} = 10.2$

⇒ $x - \frac{3x}{20} = 10.2$

⇒ $\frac{17x}{20} = 10.2$

⇒ $x = \frac{10.2*20}{17}$

⇒ $x = 12$

Purchase price = Rs. 12 per kg and profit = 10%

$profit = \frac{12 * 10}{100}$

profit = 1.2

Selling price with 10% profit = 12 + 1.2 = 13.2 per kg