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Dishonest weights at cost price: gain percent and the false weight

This type of question, asked 2 times: CDS 2 2020, CDS 2 2026. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2020

    21
    A shopkeeper sells his articles at their cost price but uses a faulty balance which reads 1000 gm for 800 gm. What is the actual profit percentage ?

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  2. Question 2

    CDS 2 2026

    21
    A shopkeeper sold his goods at the cost price. By using false weights, he gained 1119%11\frac{1}{9}\%. What weight did he use for 1 kg ?

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