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In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11 : 10 : 3. Then Anjali's score exceeded Rama's score by1. 322. 353. 244. 26 |
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Answer» Correct Answer - Option 1 : 32 Calculation: Let the score of Rama, Mohan and Anjali be ‘x’, ‘y’ and ‘z’ respectively According to the question, ⇒ x = 1/12 × (y + z) ⇒ 12x = y + z ….(i) Let the scores of Anjali, Mohan and Rama after increment of 6 be 11p, 10p and 3p ⇒ 11p = z + 6 ⇒ z = 11p – 6 ⇒ 10p = y + 6 ⇒ y = 10p – 6 ⇒ 3p = x + 6 ⇒ x = 3p – 6 Put the value of x, y and z in equation (i) ⇒ 12(3p – 6) = 10p – 6 + 11p – 6 ⇒ 36p – 72 = 21p – 12 ⇒ 36p – 21p = 72 – 12 ⇒ 15p = 60 ⇒ p = 4 So, difference between Anjali’s and Rama’s score ⇒ 11p – 3p = 8p Put the value of ‘p’ ⇒ Difference between Anjali’s and Rama’s score = 8 × 4 = 32 ∴ Anjali's score exceeded Rama's score by 32 |
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