Explanation

X(YZ)=(XY)Z this is associative property of group under multiplication

Explanation

3a−5b3a+5b​=5⇒3a+5b=5(3a−5b)
⇒3a+5b=15a−25b⇒12a=30b
⇒ba​=1230​=25​⇒a:b=5:2

Explanation

x=0.5y=0.20.6−−−√×(3y)x =0.6−−−√×(3×0.2)0.5 =0.6−−−√×0.6−−−√=0.6

Explanation

Let No. of people =x 

125 people can finish a work in 120 days.

Hence

1125×120​=111×x​

x=100125×120​⇒x=25×6

x=150

No. of people =150

Explanation

Step -1: Finding the work done by A and B in a day.

                 Let B takes a total of x days to complete the work alone.

                 So as know that A takes 6 days less than B we can write that A takes

                  x - 6 days to complete the work alone.

                 Work done by B in a day = x1​

                 Work done by A in a day = x−61​

Step -2: Finding x .

                 As we know that A and B together complete the work in 4 days,we can write

                 x1​+x−61​=41​

                 Taking LCM and solving we get,

                 x(x−6)x−6+x​=41​

                 x(x−6)2x−6​=4

Explanation

Let the initial no. of pistachios ben.

At the end of first day, remaining no.=60%×n=0.6n

At the end of second day, remaining no=60%×0.6n=0.36n

0.36n=27⟹n=75

Hence, 75 pistachios were in the jar at the start of the first day.

Explanation

5(X - 50) = X + 50
5X - 250 = X + 50
4X = 300
X = 75

Explanation

Let r be the radii of a circle.

Then, area of circle =πr 2 

If radii are doubled, than radii become 2r.

Now, area of circle =π(2r) 2

 =4π. Therefore, the area of circle is increased by 4 times.

Explanation

Let the original cost of the TV = C

Cost of TV with 10% GST = $\frac{110}{100}$C

Given, Cost of TV with 10% GST = ₹ 8,800

$\Rightarrow$  $\frac{110}{100}$C =  8800

$\Rightarrow$  C = 8000

$\therefore$The original cost of the TV = ₹ 8,000

Explanation