Question
Marks scored by A and B in a test are in the ratio 12:5
respectively. If B had scored 5 more marks, then marks scored by A would be 20% more than that of B. Find the difference between actual marks scored by A and B.Solution
Let actual marks scored by A and B be 12x and 5x respectively. Difference between the marks scored by A and B = 12x – 5x = 7x According to question, => (5x + 5) × 1.2 = 12x => 6x + 6 = 12x => 6x = 6 => x = 1 Required difference = 7x = 7
Find remainder when 7¹³ is divided by 100.

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