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Mohan gets $3$ marks for each correct sum and loses $2$ marks for each wrong sum. He attempts $30$ sums and obtains $40$ marks. The number of sums solved correctly is

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10

15

20

25

answer is C.

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Detailed Solution

It is given Mohan gets

3

marks for each correct sum and loses

2

marks for each wrong sum and he attempts

30

sums and obtains

40

marks.
Let the number of sums solved correctly be

n

.
Then number of wrong sums

= 30 - n

According to question,

3 n - 2 . (30 - n) = 40

\Rightarrow 3 n - 60 + 2 n = 40

\Rightarrow 5 n = 100

\Rightarrow n = 20

Therefore, the number of sums solved correctly is 20.
Hence, the correct option is 3.

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