Radha bought an article at 100 If she gave 25 discount she still manages to earn 12 5 of the profit ...........

Quantitative Aptitude(IBPS RRB CL) Profit and loss

Radha bought an article at ?100. If she gave 25% discount she still manages to earn 12.5% of the profit. Find the marked price of the article.

This questions was previously asked in

RRB Clerk Prelims (07 Aug, 2022 Shift 1)

Rs. 112.5

Rs. 120

Rs. 140

Rs. 150

Rs. 125

- Radha bought the article for Rs. 100.

- She gave a 25% discount off the marked price.

- Despite the discount, she earned a profit of 12.5%.

- Her cost price (CP) was Rs. 100, implying she aims for a selling price (SP) of 112.5% of CP due to the profit.

- Thus, SP = 100 + 12.5% of 100 = Rs. 112.5.

- After a 25% discount, SP = 75% of the marked price (MP).

- This means MP is higher than SP to accommodate the discount.

To find MP:

$$ SP = MP \times (1 - \text{Discount}) $$

$$ 112.5 = MP \times 0.75 $$

$$ MP = \frac{112.5}{0.75} = Rs. 150 $$

- Marked Price: Rs. 150

- Option 4: Rs. 150 is correct.

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