Three students gave an improvement test. Ajay scored 30
60
in his
first test and 35
60 in improvement test. Sonu scored 42
70
in his first test
and in 50
60 in improvement test. Manish scored 50
60
in his first test and
42
50 in improvement test.
I. What fraction of improvement did Manish made?
II. Which student improved the
most?
Answers
Given :- Three students gave an improvement test. Ajay scored 30/60 in his first test and 35/60 in improvement test. Sonu scored 42/70 in his first test and 50/60 in improvement test. Manish scored 50/60 in his first test and 42/50 in improvement test.
Solution :-
→ Ajay scored in first test = 30/60
→ Ajay scored in improvement test = 35/60
so,
→ Ajay improved score = (35/60) - (30/60) = (5/60) = (1/12)
similarly,
→ Sonu scored in first test = 42/70
→ Sonu scored in improvement test = 50/60
so,
→ Sonu improved score = (50/60) - (42/70) = (350 - 252/420) = (98/420) = (7/30)
and,
→ Manish scored in first test = 50/60
→ Manish scored in improvement test = 42/50
so,
→ Manish improved score = (42/50) - (50/60) = (252 - 250/300) = (2/300) = (1/150) (Ans.i)
now,
→ (1/12), (7/30), (1/150)
→ (25, 70, 2)/300
since,
→ 70 > 25 > 2
therefore,
→ (7/30) > (1/12) > (1/150)
hence, Sonu improved the most .
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