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Question

What approx. percentage of the total females read both The Hindu & TOI?

A 2.5% Correct Answer Incorrect Answer
B 3.5% Correct Answer Incorrect Answer
C 2.85% Correct Answer Incorrect Answer
D 3.89% Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the number of people who read ‘The Hindu and TOI (Only)’ be x Let the number of people who read ‘The Hindu and Economic Times (Only)’ be y. Let the number of people who read ‘TOI and Economics Times (Only)’ be z. Given that: 40 + 20 +x +y = 100 =>x+y = 40 ---- (i) 70 + 20 +x+z = 150 =>x+z = 60 ----(ii) 100 + 20 +y+z = 200 =>y+z = 80 -----(iii) Adding eq. (i), (ii) and (iii), we get 2 (x+y+z) = 180 x+y+x = 90 ----(iv) Now, subtracting (iv) by (i), we get z= 50 Now, subtracting (iv) by (ii), we get y= 30 Now, by subtracting (iv) by (iii), we get X=10 Required % = {1/5 of 10 + 1/4 of 20} × 700/100 = 3.89%

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