Multiple choice

In an association of 250 people, the Britishers and Spaniards are in the ratio of 3 : 2. After adding some more Spaniards in the association, the number of Britishers became equal to the number of Spaniards. The mean of pension that they received of all the group is \$500 and the mean of Spaniards' pension is \$50 more than that of the Britishers. Which of the following statements is/are correct? (A) Mean of Britishers' pension is \$475. (B) Mean of Britishers' pension is \$470. (C) Mean of Spaniards' pension is \$525. (D) Mean of Spaniards' pension is \$520. (E) Mean of Spaniards' pension is $500.

  1. (B) and (D)

  2. (A) and (D)

  3. (A) and (C)

  4. only (E)

  5. NA
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C Correct answer
Explanation

Initial: 250 people, 3:2 ratio means 150 Britishers, 100 Spaniards. After adding Spaniards, B=S=150. Total = 300. Mean pension = 500. Let B pension = x, S pension = x + 50. Total pension = 150x + 150(x+50) = 300 * 500. 300x + 7500 = 150000. 300x = 142500. x = 475. B = 475, S = 525.

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