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hoa [83]
3 years ago
11

The Marked price of an article was fixed to Rs 1380 by increasing 15% on its actual price. Find the actual price.​

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

The actual price of the article was Rs. 1200.

Step-by-step explanation:

mp (marked price)

ap (actual price)

mp = 1380

mp = ap + 15\%(ap)

1 380 = ap +  \frac{15}{100} ap

1380 =  \frac{100}{100} ap +  \frac{15}{100} ap

1380 =   \frac{115}{100} ap

1380  \div  \frac{115}{100}  = ap

1380 \times  \frac{100}{115}  = ap

\frac{138000}{115}  = ap

1200 = ap

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Please help me thank you
Hoochie [10]

Answer:

\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}

Step-by-step explanation:

We know:

\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet

We have

\sin\theta=\dfrac{1}{2}

Use \sin^2\theta+\cos^2\theta=1

\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}

\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}

3 0
3 years ago
NEED HELP ITS A TEST!
jeka94

Answer:

X = -2 - y/3

Step-by-step explanation:

First you need to know the current equation, for that:

Notice that when Y = 0, X = 2.

When Y = 6, X = 0

Therefore the equation is X = 2-\frac{y}{3}

To move that to the left of the X axis (negative direction) you just have to reduce the X number:

x=-2 - \frac{y}{3}

5 0
2 years ago
Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
DanielleElmas [232]
22.05

35/100=.35 .35x63=22.05
7 0
2 years ago
Can u tell what is 4/5 minus 3/10
algol [13]

Answer:

4/5 - 3/10 is 0.5.

Step-by-step explanation:

You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer

8 0
3 years ago
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