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In a one-day match a batter's runs came from singles, boundaries and sixes in the ratio 9 : 6 : 5. What percentage of his runs came from boundaries?

Class 7Comparing QuantitiesComparing Quantities
  • A6%
  • B30%
  • C40%
  • D20%

Step-by-Step Solution

Total parts = 9 + 6 + 5 = 20. Boundaries are 6 of those 20 parts, so the share is . 40% is , using only 9 + 6 as the total and forgetting the sixes — a percentage is meaningless unless it is taken of the FULL total. 6% reads the ratio term itself as a percentage, and 20% quotes the number of parts.
Answer: B) 30%

Key idea: Reading the question carefully

Three things to check before you compute:

1. **What's being asked?** Profit % needs CP and SP. SI needs P, R, T.
2. **What units are the inputs in?** Time in months → convert to years (divide by 12). Rate already per annum → leave it.
3. **What's the base of the percentage?** Profit/loss % is on COST price, not selling price. Discount % is on MARKED price, not on what you actually paid.

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