Practice Questions
Concept Explanation
A dishonest dealer uses a weight that measures less than the standard (false weight) but charges for the standard weight, or mixes this with a stated profit%.
Effective gain% when false weight w is used instead of true weight W:
Gain% = ((W − w) / w) × 100 on the weight used.
If he also claims x% profit on CP, combine using multiplier method for placement speed.
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Q1 Easy
A shopkeeper uses 900 g weight instead of 1 kg. His gain% is:
ExplanationGain% = ((1000−900)/900) × 100 = 11.11% ≈ 11%. -
Q2 Medium
Using 800 g for 1 kg, gain percent is:
ExplanationGain% = (200/800) × 100 = 25%. -
Q3 Medium
A dealer sells at CP but uses 950 g for 1 kg. Gain% is:
ExplanationGain% = (50/950) × 100 ≈ 5.26%. -
Q4 Hard
He uses 750 g for 1 kg and also marks 20% profit on CP. Total gain% is approximately:
ExplanationWeight gain 33⅓%. Combined ≈ 1.333 × 1.20 − 1 ≈ 60%. -
Q5 Easy
950 g weight used for 1 kg. For every kg sold, extra gain is:
ExplanationHe charges for 1000 g but gives 950 g — saves 50 g per kg sold. -
Q6 Medium
False weight 850 g per kg. Gain% on goods is:
Explanation(150/850) × 100 ≈ 17.6%. -
Q7 Hard
Uses 920 g, sells at 10% profit on CP. Net gain% approx:
ExplanationWeight gain 8.7%. Net ≈ 1.087 × 1.10 − 1 ≈ 19.6%.
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Q8 Easy
1 kg weight is actually 980 g. Gain% is:
Explanation(20/980) × 100 ≈ 2.04%. -
Q9 Medium
900 g for 1 kg and 5% profit on CP. Approximate total gain%:
Explanation1.111 × 1.05 − 1 ≈ 16.7%. -
Q10 Medium
If 750 g is sold as 1 kg at CP, gain% is:
Explanation(250/750) × 100 = 33⅓%. -
Q11 Easy
880 g weight for 1 kg. Gain% is closest to:
Explanation(120/880) × 100 ≈ 13.6%. -
Q12 Medium
Dealer uses 960 g, claims no profit. Still gains:
Explanation(40/960) × 100 ≈ 4.17%. -
Q13 Hard
840 g for 1 kg plus 10% profit. Net gain% approx:
ExplanationWeight gain 19%. Net ≈ 1.19 × 1.10 − 1 ≈ 31%. -
Q14 Hard
Using 500 g weight for 1 kg, gain% is:
Explanation(500/500) × 100 = 100% — charges double material.
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DS1 Easy
What is the gain% from false weight alone?
Statement I900 g is used instead of 1 kg.
Statement IIGoods are sold at cost price.
ExplanationStatement I alone gives gain% = 11.11%. -
DS2 Medium
What is the total gain%?
Statement IFalse weight gives 10% extra gain.
Statement IIA further 5% profit on CP is charged.
ExplanationTotal multiplier = 1.10 × 1.05. Both needed.
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DS3 Medium
Is gain from weight more than 20%?
Statement I800 g is used for 1 kg.
Statement IIDealer also adds 10% profit.
ExplanationWeight gain alone is 25%, which exceeds 20%. -
DS4 Hard
What weight is actually delivered per kg charged?
Statement IGain from false weight is 5%.
Statement IIStandard weight is 1 kg.
ExplanationIf gain 5%, 50/950 → about 952 g; with standard 1 kg charged, delivered ≈ 952 g.