Subject

    Quantitative Aptitude

    Topic

    Simplification

    What approximate value should come in place of question mark (?) in the following question? 33.5% of 1924.2 + ? % of 5324.4 = 6827.5862

    ক)
    136
    খ)
    282
    গ)
    90
    ঘ)
    116
    ঙ)
    199

    Explanation

    In this type of question, we are expected to calculate Approximate value (not exact value), so we can replace the given numbers by their nearest perfect places which makes the calculation easy. We can write the given values as: 1924.2 ≈ 1924 5324.4 ≈ 5324 6827.5862 ≈ 6828 Now, the given expression: 33.5% of 1924.2 + ? % of 5324.4 = 6827.5862 ⇒33.5100×1924+  ?100×5324≈6828\Rightarrow \frac{{33.5}}{{100}} \times 1924 + \;\frac{?}{{100}} \times 5324 \approx 6828 ⇒33.5100×1924+  ?100×5324≈6828\Rightarrow \frac{{33.5}}{{100}} \times 1924 + \;\frac{?}{{100}} \times 5324 \approx 6828 ⇒ 644.54 + ? × 53.24 ≈ 6828 ⇒ ? ≈ 6828 − 650.57 53.24 ⇒?≈6828−650.5753.24 ⇒ ? ≈ 116

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