Percentage [प्रतिशत] – 04

Question: ? % of 932 + 30 = 309.6   [Ans. (a) 30]

(a) 30        (b) 25       (c) 35      (d) 40        (e) None of these

Question: 88% of 370 + 24% of 210 - ? = 118 [Ans. (a) 258]

(a) 258      (b) 358     (c) 268     (d) 256       (e) None of these

Solution:

Detailed Explanation: If “x” percent of “y” is to be determined, then “y” is always taken as 100%. For example, ?% of 932 is to be determined; so 932 is taken as 100%. Then, 93.2 is equivalent to 10% and 9.32 is equivalent to 1%. Also, we use fractional values of different percentages. As for example, ½ is the fractional value of 50%; ¼  is the fractional value of 25%; 1/3 is the fractional value of (33 and 1/3)%; 1/5 is the fractional value of 20% etc.

For the First Question,  ? % of 932 + 30 = 309.6 or, ? % of 932 = 279.6    

Here, 932 ≡ 100%; 93.2 ≡ 10%; 9.32 ≡ 1%;

10% is equivalent to 93.2, and 279.6 is three times of 93.2. Therefore, 279.6 is equivalent to 30%. Ans.

For the Second Question, 88% of 370 + 24% of 210 - ? = 118

First of all we find 88% of 370 as

100% ≡ 370

  10% ≡ 37.0

    1% ≡ 3.70

    2% ≡ 7.40

  12% ≡ 44.4

  88% ≡ 325.6

Then, we find 24% of 210

100% ≡ 210

  10% ≡ 21.0

    1% ≡ 2.10                            

  20% ≡ 42

    4% ≡ 8.4

  24% ≡ 50.4

Therefore, 88% of 370 + 24% of 210 - ? = 118

Or, 325.6 + 50.4 – 118 =?

Or, ? = 258 Ans.