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UPSC Prelims

Mathematics

Theme:

Percentage / प्रतिशत

Q31 2015, Percentage

In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C; and 10% read all the three magazines. What percentage do not read any magazine?

किसी नगर में, 45% लोग पत्रिका A पढ़ते हैं, 55% लोग पत्रिका B पढ़ते हैं, 40% लोग पत्रिका C पढ़ते हैं, 30% लोग पत्रिका A और B पढ़ते हैं, 15% लोग पत्रिका B और C पढ़ते हैं, 25% लोग पत्रिका A और C पढ़ते हैं; और 10% लोग सभी तीनों पत्रिकाएँ पढ़ते हैं। कितने प्रतिशत लोग कोई पत्रिका नहीं पढ़ते ?

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Ans: (c) According to the venn diagram,

Given, d + g = 30%, e + g = 15%, f + g = 25%, g =10%

On solving, we get d = 20%, e = 5% and f = 15%

⸫ a = A - (d + f + g) = 0%

b = B - (d + e + g) = 20%

and c = C - (e + f + g) = 10%

⸫ Percentage of those who do not read any magazine (n)

= Total percentage - (a + b + c + d + e + f + g)

= 100 - (0 + 20 + 10 + 20 + 5 + 15 + 10) = 20%

व्याख्या Please wait..

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