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

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Given this figure Both sides Subtract linear equaction

Both Sides Subtract Linear Equaction

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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?

Answer:

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?

Answer:

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

Breadth of rectangular plot

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?

Answer:

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.