Profit and loss

Quantitative Aptitude (MTS)

Title

45:30

8 of 24 completed

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38 of 100 completed

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Indian Economy - Understanding the basics of Indian economic system

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:

\[ 10,340 \times \left(1 - \frac{X}{100}\right) = 10,133.2 \]

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

\[ X = \left(1 - \frac{10,133.2}{10,340}\right) \times 100 \]

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

- Correct Answer:

- Option 2: 2%