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Eduardwww [97]
2 years ago
8

Sanjay sold 8kg of sugar at Rs 28 per kg and earned a profit of Rs 40 What was the cost price per kg

Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

Answer:

23

Step-by-step explanation:

8 kg * 28 per kg = Rs. 224

Profit = Rs. 40

CP = SP - Profit

224 - 40

184

184 / 8

23

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The definition is pretty simple:

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The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much
Y_Kistochka [10]

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x = ∛ 2*V/5  

y = ∛ 2*V/5

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Step-by-step explanation:

Dimensions of the aquarium base is  x*y

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let call h the height of the aquarium then volume of the aquarium is:

V = x*y*h      where   h =  V / x*y

As the base is a rectangular one there are 2 sides x*h .  and 2 sides  y*h

According to this:

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C(t)  =  5*c₁*x*y  + 2*c₁*V/y   *2*c₁* V/x

Taking partial derivatives en x and y we have:

C´(x)  =  5*c₁*y - 2*c₁*V/x²

C´(y)  =  5*c₁*x - 2*c₁*V/y²

C´(x)  = C´(y)        ⇒  5*c₁*y - 2*c₁*V/x²  =   5*c₁*x - 2*c₁*V/y²

or    5*y - 2*V/x²  =   5*x - 2*V/y²

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5*y³*x² - 2*V*y²  =  5*y²x³  - 2*V*x²

5*y³*x² - 5*y²x³  =  2*V * ( y² - x²)

by symmetry  x =  y

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C´(x) =  5*c₁*y - 2*c₁*V/x²

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