Multiple Choice Questions

An article was subject to three successive discounts where by a customer had to pay Rs2 366 8 less t...........

Quantitative Aptitude (MTS) Profit and loss

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

3.6

2.5

- 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:

$10, 340 \times (1 - \frac{X}{100}) = 10, 133.2$

$1 - \frac{X}{100} = \frac{10, 133.2}{10, 340}$

$X = (1 - \frac{10, 133.2}{10, 340}) \times 100$

- Calculating: Simplifying gives X = 2%, which matches Option 2.

- Correct Answer:

- Option 2: 2%

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