please explain also with options
Answers
Answer:
He should win 6 matches of the remaining 7 matches to meet his goal (Option C).
Step-by-step explanation:
This is such a straightforward question without any such line which might make it very difficult to form the equation. All you need to know for this question is the formula for calculating percentage.
So,Shubham will play a total of 40 matches and he wants to win 90% of the matches he will be playing,so first let's see out of 40 how many matches actually he needs to win to have the win percentage of 90. Let's call it x.
x = 90% of 40
x = 90/100 × 40
x = 9 × 4
x = 36
So,to attain the win percentage of 90,he is required to win 36 matches. Also given that he has already played 33 matches of the 40 matches and has a win percentage of 90.9090%. So,if he would have won all the 33 matches, his win percentage would been 100, but it's not,so it indicates he lost some matches, let's now see the number of matches le lost so far out of 33 matches. Let's call that y.
y = 90.9090% of 33
y = 90.9090/100 × 33
y = 90.9090 × 0.33
y = 29.97
Now playing 29.97 matches doesn't make any sense, well you will actually get 30 if you increase the 90s after the decimal,so you can can 29.97 as 30, which makes more sense.
So,y = 30
So, out of 33 matches he lost in 3 matches.
And we know that he has to win 36 matches to have a win percentage of 90.
So,we can just subtract the number of matches required to achieve 90% from the number of matches won, let's call that z.
z = x - y
z = 36 - 30
z = 6
Which is Option (C)
Okay so now the shorter way. If you look at your options, you can easily get to the final answer. Option (B) and Option (D) clearly most stupîd option. Because if you add 8 or 10 to 33 matches, you get 41 and 43 respectively which is more than the total number of matches to be played in the tournament by Shubham which isn't possible.
Now coming to option (A) : 4. Well if you add 4 to 33, you get 37 which can't be a convincing option to go for because still hereafter you have 3 matches left and he may win or lose in those matches making the percentage rise or fall. Also the total number of matches needed to win is 36 for achieving that win percetntage of 90, though we cross that figure of 36,but since already we calculated the number of matches he lost out of 33 which was 3 making his win percentage = 90.9090,so if here on he only wins 4 matches out of 7,then the remaining 3 he will lose which means out of 40 he will be losing in a total of 6 matches,and 40 - 6 = 34 but we calculated earlier that he is required to win at least 36 matches to have win percentage of 90.
So only option left is option (C) which is 6.