An article was subject to three successive discounts, where by a customer had to pay Rs2,366.8 less than the marked price of
Rs12,500. If the rates of the first two discounts were, respectively, 12% and 6%, then what was the rate percentage of the third
discount?
This questions was previously asked in
SSC MTS 12th October 2021 Shift-2
Explanation:
- Marked Price: The original price of the article is Rs 12,500.
- Discounted Price: After all discounts, the customer pays Rs 12,500 - Rs 2,366.8 = Rs 10,133.2.
- First Discount (12%): The first discount is 12% of Rs 12,500, which reduces the price to Rs 12,500 - (0.12 × 12,500) = Rs 11,000.
- Second Discount (6%): The second is 6% of Rs 11,000, reducing it to Rs 11,000 - (0.06 × 11,000) = Rs 10,340.
- Third Discount: Let the third discount rate be X%. Apply this final discount to Rs 10,340 to achieve the discounted price Rs 10,133.2.
- Equation Setup: Rs 10,340 × (1 - X/100) = Rs 10,133.2
- Solving:
\[ 10,340 \times \left(1 - \frac{X}{100}\right) = 10,133.2 \]
\[ 1 - \frac{X}{100} = \frac{10,133.2}{10,340} \]
\[ X = \left(1 - \frac{10,133.2}{10,340}\right) \times 100 \]
- Calculating: Simplifying gives X = 2%, which matches Option 2.
- Correct Answer:
- Option 2: 2%
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By: santosh