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.
1. 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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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 in 50 / 60 in improvement test. Manish scored 50 / 60 in his first test and 42 / 50 in improvement test.
To Find :
I. What fraction of improvement did Manish made?
II. Which student improved the most?
Solution:
Ajay in 1st test = 30/60 = 1/2
Ajay in improvement test = 35/60 = 7/12
Improvement = 7/12 - 1/2 = 1/12
Sonu in 1st test = 42/70 = 3/5
Sonu in improvement test = 50/60 = 5/6
Improvement = 5/6 - 3/5 = 7/30
Manish in 1st test = 50/60 = 5/6
Manish in improvement test = 42/50 = 21/25
Improvement = 21/25 - 5/6 = 1/150
Manish make 1/150 improvement
7/30 > 1/12 > 1/150
Hence Sonu improved the most
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