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If 
25% of a number is 50 and 
35% of the same number is 70 , find 
60% of that number.
Answer:

If 25% 25 \% of a number is 5050 and 35% 35 \% of the same number is 7070 , find 60% 60 \% of that number.\newlineAnswer:

Full solution

Q. If 25% 25 \% of a number is 5050 and 35% 35 \% of the same number is 7070 , find 60% 60 \% of that number.\newlineAnswer:
  1. Find Number Value: Find the value of the number based on the given percentage and value.\newlineWe are given that 25%25\% of a number is 5050. To find the number, we can set up the equation:\newline25%25\% of number = 5050\newline0.25×number=500.25 \times \text{number} = 50\newlinenumber=500.25\text{number} = \frac{50}{0.25}\newlinenumber=200\text{number} = 200
  2. Verify Percentage Consistency: Verify the second percentage given to ensure consistency.\newlineWe are given that 35%35\% of the same number is 7070. Let's check if this is consistent with our number found in Step 11.\newline35%35\% of number =70= 70\newline0.35×number=700.35 \times \text{number} = 70\newline0.35×200=700.35 \times 200 = 70\newline70=7070 = 70\newlineThis is consistent, so there is no math error.
  3. Calculate 6060%: Calculate 60%60\% of the number.\newlineNow that we have confirmed the number is 200200, we can find 60%60\% of it.\newline60%60\% of number = 60%60\% of 200200\newline0.60×200=1200.60 \times 200 = 120

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