NCERT Class 8 Mathematics Solutions: Chapter 2 – Linear Equations in One Variable Exercise 2.4 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Given this Figure Both Sides Subtract Linear Equaction

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 ₹ 100 per meter it will cost the village panchayat ₹ 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 ₹ 50 per meter and trouser material that costs him ₹ 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 ₹ 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.