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A handloom weaver in Bhagalpur weaves 84 metres of cloth in 7 days, doing the same amount of work each day. How many metres will he weave in 11 days?

Class 6Ratio and ProportionRatio and Proportion
  • A88 m
  • B924 m
  • C132 m
  • D120 m

Step-by-Step Solution

Cloth woven in one day = 84 ÷ 7 = 12 m. In 11 days he weaves m. The trap is 924 m, which multiplies the whole 84 m by 11 as though 84 were the ONE-day figure; 88 m adds the 4 extra days on as 4 metres; 120 m uses 10 days instead of 11.
Answer: C) 132 m

Key idea: Unitary method

If 5 pens cost ₹40, what do 8 pens cost? Step 1 — find the price of **one** pen: ₹40 ÷ 5 = ₹8. Step 2 — multiply by the new count: 8 × ₹8 = ₹64. The unitary method works for any 'X-many of something costs Y, what about Z-many?' problem. It's just two steps: find the unit, then scale.

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