Match List-I with List-II.
| List-I (Situation) | List-II (Gain %) | ||
|---|---|---|---|
| (A) | A dealer sells at cost price but gives 800 g for every 1 kg | (I) | 17% |
| (B) | Goods marked 40% above cost price are sold at a 25% discount | (II) | 25% |
| (C) | The selling price of 10 articles equals the cost price of 12 articles | (III) | 5% |
| (D) | Goods marked 30% above cost price are sold at a 10% discount | (IV) | 20% |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
Gain % is always found on the cost price; take the cost price as 100 (or as the cost of the goods actually given) and compare it with what is received.
(A) A dealer sells at cost price but gives 800 g for every 1 kg — this matches (II) 25%. He receives the price of 1000 g for goods costing him 800 g, so gain \(=\displaystyle\frac{200}{800}\times100=25\%\).
(B) Goods marked 40% above cost price are sold at a 25% discount — this matches (III) 5%. Take CP \(=100\): MP \(=140\), SP \(=140\times0.75=105\), so the gain is 5%.
(C) The selling price of 10 articles equals the cost price of 12 articles — this matches (IV) 20%. Take the CP of one article as Rs 1: SP of 10 articles \(=\) Rs 12, CP of 10 articles \(=\) Rs 10, so gain \(=\displaystyle\frac{2}{10}\times100=20\%\).
(D) Goods marked 30% above cost price are sold at a 10% discount — this matches (I) 17%. Take CP \(=100\): MP \(=130\), SP \(=130\times0.90=117\), so the gain is 17%.