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SashulF [63]
3 years ago
9

A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at

this transaction.Find the cost price
​
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Let CP of one watch = x

CP of second watch = 500 - x

SP of first watch = (100-12)% of x = 88% of x=0.88x

SP of second watch = (100+8)% of (500 - x) = 108% of (500 - x)

                                  = 1.08*(500 - x) = 1.08*500 - 1.08*x

                                   = 540 - 1.08x

Sp of two watches = 500

0.88x + 540 - 1.08x = 500

-0.20x + 540 = 500

-0.20x = 500 - 540

-0.20x = -40

x = -40/-0.20 = 40*100/20 = 2*100 = 200

CP of first watch = 200

CP of second watch = 500 - 200 = 300

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loris [4]

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar,  then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A  ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

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∠A + ∠B+ ∠P = 180°

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8 0
3 years ago
A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in
777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

<em><u>Verify each statement</u></em>

<em>A) Each pack of folders has a volume of 60 cubic inches.</em>

The statement is True

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

<em>B) The box has a volume of about 720 cubic inches</em>

The statement is True

Because

The volume of the box is equal to the volume  of one pack of folders multiplied by 12

so

V=(12)60=720\ in^{3}

<em>C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches</em>

The statement is False

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}

900\ in^{3}\neq 1,200\ in^{3}

<em>D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.</em>

The statement is True

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}

1,200\ in^{3}= 1,200\ in^{3}

<em>E) Each pack of folders has a volume of 24 cubic inches.</em>

The statement is False

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

7 0
3 years ago
Mateo found a sale on skateboards.The skateboard he would like to purchase is 179.99. The sales tax is 6.5%. How much will Mateo
Ivahew [28]

Answer:

$191.69

Step-by-step explanation:

0.065 x 179.99 = 11.70

179.99 +11.70

4 0
3 years ago
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