# NCERT Class 8 Mathematics Solutions: Chapter 2 –Linear Equations in One Variable Exercise 2.4 Part 2

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Question: 5 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

Let Shobo’s present age be x years.

Shobo’s Mother present age year.

Shobo’s age after 5 years =

Hence, Shobo’s present age = 5 year and

Shobo’s mother’s present age:

Question: 6 There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs. 100 per meter it will cost the village panchayat Rs. 75,000 to fence the plot. What are the dimensions of the plot?

Let the length and breadth of the rectangular plot be 11x and 4x respectively.

Perimeter of the plot =

Perimeter of the plot = 2 (l+b)

Therefore, according to the question,

Hence, Length of rectangular plot and

Question: 7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs.50 per meter and trouser material that costs him Rs. 90 per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% respectively. His total sale is Rs. 36,000. How much trouser material did he buy?

Let ratio between shirt material and trouser material be.

The cost of shirt material

The selling price at 12% gain

The cost of trouser material

The selling price at 10% gain

According to the question,

Now, trouser material

Hence, Hasan bought 200 meters of the trouser material.