In an examination, Shilpa scored 72.5% marks. Her friend who scored 78% marks has 88 marks more than her. Find the maximum marks of the examination.
- A1500
- B1600
- C1800
- D1450
Solution & Step-by-step Explanation
Let the maximum marks of the examination be M.
Shilpa's score = 72.5% of M
Her friend's score = 78% of M
The difference between their percentage scores is:
78%−72.5%=5.5%
According to the question, this difference corresponds to 88 marks:
5.5% of M=88
100
5.5
×M=88
M=
5.5
88×100
M=
55
88×1000
M=8×200=1600
Shilpa's score = 72.5% of M
Her friend's score = 78% of M
The difference between their percentage scores is:
78%−72.5%=5.5%
According to the question, this difference corresponds to 88 marks:
5.5% of M=88
100
5.5
×M=88
M=
5.5
88×100
M=
55
88×1000
M=8×200=1600