In a quiz each student is required to answer 40 questions. 5 marks are given for every correct answer and 3 marks are deduced for every wrong answer. If Raj answered 35 questions correctly and Rahul answered 32 questions correctly of all the attempted questions, what is the difference in the total marks obtained by them?
Answers
raj obtained 130 and rahul obtained 116 so the difference is 14
Answer:
The difference in the total marks obtained by them is 24 marks
Step-by-step explanation:
Given : Total questions to be answered = 40
Each correct answer gets = 5 marks
Each wrong answer looses = 3 marks
Solution :
Raj answered 35 questions correctly
∴ Raj's wrong answers = 40 - 35
= 5 questions
∴ Raj's total marks = Correct answers * 5 - wrong answers *3
= 35 * 5 - 5*3
= 175 - 15
= 160
Rahul answered 32 questions correctly
∴ Rahul's wrong answers = 40 - 32
= 8
Rahul;s total marks = Correct answers * 5 - wrong answers *3
= 32 * 5 - 8*3
= 160 - 24
= 136
∴The difference in the total marks obtained by them = 160-136
= 24 marks