of the total runs made by the indian team during a cricket match. Sachin scored 44% and Dhoni scored 39% . if Sachin scored 30 runs more than Dhoni , find 1) the score of indian team 2) score of Sachin
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Answers
Given data :
- Sachin scored 44 % runs of total runs
- Dhoni scored 39 % runs of total runs
- Sachin scored 30 runs more than Dhoni
To find : 1. The score of indian team 2. Score of Sachin
Solution : Let, total runs scored by indian team be x.
Hence, x = 100 % runs.
Now,
Let, runs scored by sachin be A and runs scored by Dhoni be B.
Now, percentage formula,
Now for Sachin's runs
⟹ [ A/x ] * 100 = 44
⟹ A = 44x/100 ----{ 1 }
Similarly for Dhoni's runs
⟹ [ B/x ] * 100 = 39
⟹ B = 39x/100 ----{ 2 }
Now, according to given, {Sachin scored 30 runs more than Dhoni}
⟹ A = B + 30
Now, from eq. { 1 } and eq. { 2 }
⟹ 44x/100 = 39x/100 + 30
⟹ 44x/100 = 39x/100 + 3000/100
⟹ 44x/100 = {39x + 3000}/100
{cancel 100 from both side}
⟹ 44x = 39x + 3000
⟹ 44x - 39x = 3000
⟹ 5x = 3000
⟹ x = 3000/5
⟹ x = 600
Hence, Indian team scored 600 runs.
Now, put value of x in eq. { 1 }
⟹ A = 44x/100
⟹ A = 44 * 600/100
⟹ A = 26400/100
⟹ A = 264
Hence, Sachin scored 264 runs
Answer : Indian team scored 600 runs and Sachin scored 264 runs.
Answer:
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