## RS Aggarwal Class 8 Solutions Chapter 12 Direct and Inverse Proportions Ex 12B

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 12 Direct and Inverse Proportions Ex 12B.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 12 Direct and Inverse Proportions Ex 12A
- RS Aggarwal Solutions Class 8 Chapter 12 Direct and Inverse Proportions Ex 12B
- RS Aggarwal Solutions Class 8 Chapter 12 Direct and Inverse Proportions Ex 12C

**Question 1.**

**Solution:**

∵ x and y are inversely proportional

Then xy are equal

(i) xy = 6 x 9 = 54

= 10 x 15 = 150

= 14 x 21 = 294

= 16 x 24 = 384

∵ xy in each case is not equal

So, x and y are not inversely proportional

(ii) xy = 5 x 18 = 90

= 9 x 10 = 90

= 15 x 6 = 90

= 3 x 30 = 90

= 45 x 2 = 90

∵ xy in each case is equal

x and y are inversely proportional

(iii) xy = 9 x 4 = 36

= 3 x 12 = 36

= 6 x 9 = 54

= 36 x 1 = 36

∵ xy in each is not equal

x and y are not inversely proportional

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**Question 2.**

**Solution:**

x and y are inversely proportional

xy is equal

Now,

**Question 3.**

**Solution:**

Let required number of days = x

**Question 4.**

**Solution:**

A pond is! dug in 8 days by = 12 men

It can be dug in 1 day by = 12 x 8 men (Less days, more men)

and it can be dug in 6 days by = \(\\ \frac { 12X8 }{ 6 } \)

= 16 men Ans. (more days, less men)

**Question 5.**

**Solution:**

Let 14 cows can graze in x days

**Question 6.**

**Solution:**

Let required time take = x hour

By inverse proportion

60 : x :: 75 : 5

x = \(\\ \frac { 50X5 }{ 75 } \)

Time required = 4 hours

**Question 7.**

**Solution:**

Let machines required = x

**Question 8.**

**Solution:**

Let 8 taken will fill in tank in x hour

**Question 9.**

**Solution:**

8 taps can fill tank in = 27 minutes

1 tap can fill that tank in = 27 x 8 minutes (less tap, more time)

8 – 2 = 6 taps can fill that tank in

= \(\\ \frac { 27X8 }{ 6 } \) minutes

= 36 minutes

**Question 10.**

**Solution:**

Let total animals can be feed with food in x days

**Question 11.**

**Solution:**

Let for x day, the food provision is sufficient for 900 + 500 = 1400 men

**Question 12.**

**Solution:**

Let the food will be for x days

**Question 13.**

**Solution:**

Let each period will be of x minutes

**Question 14.**

**Solution:**

x and y are inversely

and x = 15, y = 6

Then xy = 15 x 6 = 90

Now if x = 9, then y = \(\\ \frac { 90 }{ 9 } \)

= 10

**Question 15.**

**Solution:**

x and y are inversely and x = 18, y = 8

xy = 18 x 8 = 144

Now if y = 16,

then x = \(\\ \frac { 144 }{ 16 } \)

= 9

Hope given RS Aggarwal Solutions Class 8 Chapter 12 Direct and Inverse Proportions Ex 12B are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.

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