What approximate value should come in place of question mark (?) in the following question?

33.5% of 1924.2 + ? % of 5324.4 = 6827.5862

A 136

B 282

C 90

D 116

E 199

Solution

Correct Answer: Option D

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

\(\Rightarrow \frac{{33.5}}{{100}} \times 1924 + \;\frac{?}{{100}} \times 5324 \approx 6828\)

\(\Rightarrow \frac{{33.5}}{{100}} \times 1924 + \;\frac{?}{{100}} \times 5324 \approx 6828\)

⇒ 644.54 + ? × 53.24 ≈ 6828

?6828650.5753.24⇒?≈6828−650.5753.24

  ⇒ ? ≈ 116

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