Sam and Raju scored 52% and 61% respectively in the Term 1 examination. In the…
2024
Sam and Raju scored 52% and 61% respectively in the Term 1 examination. In the Term 2 examination, Sam scored 50% more than Raju. If the total marks scored by Sam and Raju are the same, then what is the ratio of marks scored by Sam in the Term 1 examination to the Term 2 examination?
- A.
41 : 15
- B.
29 : 42
- C.
52 : 27
- D.
41 : 29
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Correct answer: C
Let M be the maximum score in the Term 1 examination.
Sam scored = (52/100) × M = 0.52M
Raju scored = 0.61M
Let r be the marks scored by Raju in the Term 2 examination.
Sam scored = (150/100) × r = 1.5r
Total marks scored by Sam = 0.52M + 1.5r
Total marks scored by Raju = 0.61M + r
⇒ 0.52M + 1.5r = 0.61M + 1r
⇒ 0.5r = 0.09M
⇒ r = 0.18M
Marks scored by Sam In Term 2 = 1.5 r = 1.5 × 0.18 M = 0.27M
The ratio is 0.52M : 0.27M.
The ratio is 52 : 27.