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Suppose 2 kg of sugar contains 9 x 10⁶ crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar?

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NCERT Solutions for Class 8 Mathematics Chapter 13
Important NCERT Questions
Direct and Inverse Proportions Chapter 8 Exercise 13.1
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 7

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1 Answer

  1. (i) Let sugar crystals be x.

    Weight of sugar (in kg) 2 5
    No. of crystals 9×10⁶ x
    Here weight of sugar and number of crystals are in direct proportion.
    ∴ 2x/9×10⁶ = 5/x ⇒ xX2=5x9x10⁶ ⇒ x=5x9x10⁶/2 = 22.5×10⁶ =2.25×10⁷
    Hence, the number of sugar crystals is 2.25×10⁷.

    (ii) Let sugar crystals be x.
    Weight of sugar (in kg) 2 1.2
    No. of crystals 9×10⁶ x

    Here weight of sugar and number of crystals are in direct proportion.
    ∴ 2/9×10⁶ = 1.2/x ⇒ xX2=1.2x9x10⁶ ⇒ x=1.2x9x10⁶/2 = 0.6x9x10⁶=5.4×10⁶
    Hence, the number of sugar crystals is 5.4×10⁶.

    Class 8 Maths Chapter 11 Exercise 13.1 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-13/

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