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3 years ago

Jai Narayan sells two radio sets for 2288 each.

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

Answer:

Step-by-step explanation:

S.P of each radio=$ 2288

Total S.P= $2\times 2288=$ $4576

Gain=10%

Lose=10%

C.P= $\frac{S.P\times 100}{100+gain(in\;percent)}$

C.P= $\frac{S.P\times 100}{100-loss(in\;percent)}$

By using the formula

C.P of one radio= $\frac{2288\times 100}{110}=$ $2080

C.P of another radio= $\frac{2288\times 100}{100-10}$ =$2542.2

Total C.P of two radios=2080+2542.2=$4622.2

Total C.P >Total S.P

Loss=S.P-C.P

Loss=4622.2-4576=$46.2

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

Loss %= $\frac{46.2}{4622.2}\times 100=$ 1%

Hence, his loss 1%

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The volumes of two similar solids are 729 inches3 and 125 inches3. If the surface area of the smaller solid is 74. 32 inches2, w

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The surface area of the larger solid, rounded to the nearest hundredth is given by: Option B: $240.80\: \rm inch^2$

<h3>How can we interpret volume of a solid?</h3>

Volume of a solid is usually expressed in cubic units, or units cube.

Suppose that the volume was expressed in x cubic units. Then you can say that the considered solid takes same space as the volume occupied by x cubes of 1 unit as their side lengths.

<h3>What are similar objects?</h3>

They're like zoomed version of each other(might be non-zoomed, zoomed in, or zoomed out). Their sides can be obtained by multiplying one object's sides by a single constant(by single constant, we mean constant which will be same for obtaining any corresponding side).

For the given case, we're given that:

Volume of first solid = 729 cubic inches.
Volume of second solid = 125 cubic inches.

Both solids are similar.

Thus, let the scale factor by which their sides change be 'f'.

Then, we get:

Side of first solid = f × side of second solid

Surface area of first solid(a square piece chosen on its surface) = f × f × surface area of second solid

(as two times sides multiplied, so two times f got multiplied).

Similarly,

volume of first solid = f × f × f × volume of second solid.

$729 = f^3 \times 125\\f = \: ^3\sqrt{\dfrac{729}{125}} = \dfrac{9}{5} = 1.8$

As surface area of smaller solid(second solid is smaller as its volume is less) is 74.32 sq. inches, and f = 1.8, thus, we get:

$S_{\text{larger solid}} = f^2 \times S_{\text{smaller solid}} = (1.8)^2 \times 74.32\\S_{\text{larger solid}} = 240.7968 \approx 240.80 \: \rm inch^3$