Question

Ramesh earns Rs.15000 per month. He spends 1/4 of his income on food; 1/3 of his income on the education of children. How much money is still left with him?

28. Find three rational numbers between 4 and 5.

29. The ages of Amit and Sumit are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

30. Find the least number which must be subtracted from 1989 to get a perfect square. Also, find the square root of the perfect square so obtained.

31. A man sold two chairs at Rs. 480 each. These were sold at 20% gain and 20% loss respectively. Find the gain or loss percent in the whole transaction.

32. Construct Quadrilateral TRUE where TR = 4.5 cm, RU = 4 cm, UE = 5 cm, Please answer fast!! Its very urgent! I will mark you brainiest!

Answer 1

Answer:

1)Ramesh Total Income = 40000

He spends for food = 40000×  

6

3

​

 

=20000

Remaining = 40000−20000

=20000

For LIC premium = 20000×  

5

1

​

 

=4000

Remaining = 20000−4000

=16000

Other expenses = 16000×  

2

1

​

 

=8000

Remaining = 16000−8000

=8000

Now He has 8000 Rs.

2)Hint: In order to solve this question obtain fractional numbers between them by doing the a + bc where c is greater than one.

As we know rational numbers are those which can be expressed in the form pq.

Where q is not equal to zero.

Therefore the rational number between two numbers say a and b can be obtained by doing the operation a + b2.

Therefore the rational number between 5 and 4 is

4+52=92

The rational number between 5 and 92 is

5+922=194

The rational number between 5 and 194 is

5+1942=398

Therefore the 3 rational numbers between 4 & 5 are

92,192,392.

3)The ratio of Hari's and Harry's present ages is 5:7  

So, let their ages be 5x and 7x

After 4 years their ages will be in ratio 3:4

Therefore,(5x+4)/(7x+4)=3/4

or, 4(5x+4)=3(7x+4)

or, 20x+16=21x+12

or, 16−12=21x−20x

or, 4=1x

or, x=4

Therefore, present age of Hari = 5x=(5×4)=20 years.

Present age of Harry =7x=(7×4)=28 years

The sum of their age is 28+20=48years

4)If we subtract 53 from 1989, we get 1936 which is the perfect square. Hence 53 is the least number to be subtracted from the given number (1989) to get a perfect square.

5)Person sold 2 chairs at 492 each  

on one he gained 20%  

on another he lost 20%

i.e.,  

100

120x

​

=492

         

100

480y

​

=123  

         x=410  

         y=615

CP of one chair =410

CP of other chair =615

Profit =492−410=82

Loss =615−492=−123

Total Loss =82−123=41

Loss %  

984

41

​

×100=4.1%

Step-by-step explanation:

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