The cost price of an article is Rs214 After allowing three successive discounts of 15 20 and 10 on i...........

Quantitative Aptitude (MTS) Profit and loss

The cost price of an article is Rs214. After allowing three successive discounts of 15%, 20% and 10% on its list price, it is sold

for Rs153. If it is sold at the list price, then the profit (in Rs) will be:

This questions was previously asked in

SSC MTS 27th October 2021 Shift-2

- The cost price of the article is Rs214.

- The article is sold for Rs153 after three successive discounts of 15%, 20%, and 10% on its list price.

- Let's assume the list price is Rs \( x \).

- After the first discount of 15%, the price becomes \( 0.85x \).

- After the second discount of 20%, the price becomes \( 0.80 \times 0.85x = 0.68x \).

- After the third discount of 10%, the price becomes \( 0.90 \times 0.68x = 0.612x \).

- 0.612x = 153 (since this is the selling price after discounts).

- Solving \( x = \frac{153}{0.612} = 250 \). The list price is Rs250.

- If sold at the list price of Rs250, the profit would be Rs250 - Rs214 = Rs36.

- Option: 2 (36) is the correct answer .

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