When Sulekha sells an article for Rs870 she earns a profit in Rs which is equal to twice the loss in...........

Quantitative Aptitude (MTS) Profit and loss

When Sulekha sells an article for Rs870, she earns a profit (in Rs) which is equal to twice the loss (in Rs) she incurs on selling it

for Rs450. To earn a profit of 15%, she should sell the article for (in Rs):

This questions was previously asked in

SSC MTS 27th October 2021 Shift-2

667

690

676.50

678.50

Let's analyze the problem step-by-step to find the correct selling price for a 15% profit:

- When selling for Rs 870, Sulekha earns a profit equal to twice the loss when selling for Rs 450.

- Let the cost price be 'x'. Therefore:

870 - x = 2(x - 450)

- Solving, we get:

870 - x = 2x - 900 \implies 3x = 1770 \implies x = 590

- The cost price is Rs 590.

- To calculate a 15% profit:

\text{Selling price} = x + 0.15x = 590 + 88.50 = Rs 678.50

- Calculations:

- Option 2: Rs 690 (Price needed for over 15% profit)

- Option 3: Rs 676.50 (Slightly less than required 15% profit)

- Conclusion:

- Correct Answer: Option 4: Rs 678.50

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