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Mathematics

If A + B + C = 400 in which A is 40% and B is 45%, then the exact quantity of C in the whole is :

  1. 160

  2. 60

  3. 180

  4. 15%

Percent & Percentage

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Answer

The whole value is 400.

A = 40 % of 400

A = 40100×400\dfrac{40}{100} \times 400

A = 16,000100\dfrac{16,000}{100}

A = 160

B = 45 % of 400

B = 45100×400\dfrac{45}{100} \times 400

B = 18,000100\dfrac{18,000}{100}

B = 180

As we know, A + B + C = 400

⇒ 160 + 180 + C = 400

⇒ 340 + C = 400

⇒ C = 400 - 340

⇒ C = 60

Hence, option 2 is the correct option.

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