Question

Arun is batting in a cricket match . He has already scored 75% of the target runs . He needed to score 40 more runs to win . How many runs has he already scored ?​

Answer 1

Hello!

Here is the answer for your question!

Question:-  Arun is batting in a cricket match . He has already scored 75% of the target runs . He needed to score 40 more runs to win . How many runs has he already scored ?​

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Answer:-

• Let y be the total score needed to win the match, as Arun has already scored 75% of the score remaining 40 runs is 25% of y.

• So, $\frac{25}{100}$ × y = 40

              y = $\frac{4000}{25}$    (cross multiplication)

              y = 160

• runs Arun has already scored is 75% of y

              $\frac{75}{100}$ × 160 = 120      (y=160)

 Hence, Arun has already scored 120 runs.

which is 75% of total score which is 160

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Hope this helped you with your doubt :)    

Answer 2

Answer:

120

Step-by-step explanation:

Let X be the number of runs already scored by Arun

Let Y be the total number of target runs

Number of runs needed to win the match=40

According to question, Arun has already scored 75% of the target runs.

So, we can say that

75/100Y = X

then,

Y = 100/75X

Y = 4/3X

Now,

Y = 75/100Y + 40

Put the value of Y in the above equation,

4/3X = 75/100 × 4/3X + 40

4/3X = X + 40

4X = 3X + 120

4X - 3X = 120

X = 120

Number of runs already scored by Arun = 120.

Hope it helps you.

Thank You!