An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at x% profit. What is the value of x?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e.52
| Understanding/Application |
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Let, Cost price of article = Rs 100 MRP = 100% above than CP [Given] So, MRP = CP + 100% of CP = 100 + (100/100)100 = 100 + 100 = Rs 200 Now, Two succsesssive discount on MRP = 5% + 20% So, net discount = 5 + 20 - (5 × 20)/100 = 25 - 1 = 24% Therefore, SP = MRP - 24% of MRP = 200 - 24% of 200 = 200 - (200/100)24 = 200 - 48 = Rs 152 So, profit amount = SP - CP = Rs(152 - 100) = Rs 52 Profit% = (profit amount/CP)100 = (52/100)100 = 52% Hence, x% = 52% or x = 52 |