A shopkeeper bought a machine for Rs4600 and spent Rs500 on its repairs and transport. He marked the machine at 8% above the
over all cost price. If he sold the machine for Rs4681.80 after giving x% discount, then the value of x is:
This questions was previously asked in
SSC CGL 18th August 2021 Shift-3
Explanation:
Let’s break it down:
- The total cost to the shopkeeper is Rs4600 (machine) + Rs500 (repairs and transport) = Rs5100.
- He marks the price at 8% above this:
8% of 5100 is 408, so marked price = 5100 + 408 = Rs5508.
- He ends up selling it for Rs4681.80 after a discount.
Here’s the calculation for the discount:
- Discounted price = Marked Price × (1 - x/100)
- 4681.80 = 5508 × (1 - x/100)
- (1 - x/100) = 4681.80 / 5508 ˜ 0.8505
- x/100 = 1 - 0.8505 = 0.1495 ? x ˜ 15%
So, the correct answer is Option 1: 15
- Option 2 (20%), Option 3 (12%), and Option 4 (18%) don’t fit the math.
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