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A stationer buys 500 wall calendars at ₹40 each. He sells 300 of them in December at 20% below cost. At what price per calendar (in ₹) must he clear the remaining 200 in January if the whole lot is to break even?

Competition practiceRatio, Percentage & Commercial Math
  • A48
  • B40
  • C52
  • D60

Step-by-Step Solution

The lot cost = ₹20000. The 300 sold at = ₹32 brought in ₹9600, so the last 200 must bring 20000 − 9600 = ₹10400, i.e. ₹52 each. (Selling them at cost, ₹40, leaves him ₹2400 short; marking them up by the same 20% he cut, to ₹48, still leaves ₹800 short; and adding the whole ₹2400 shortfall on top of that ₹48 over-recovers at ₹60.)
Answer: C) 52

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