Rajan sold an article to Shyam at a profit of 20 Shyam sold it to Mohan at a loss of 10 while Mohan ...........

Quantitative Aptitude (MTS) Profit and loss

Rajan sold an article to Shyam at a profit of 20%, Shyam sold it to Mohan at a loss of 10%, while Mohan sold it to Ratan at a

profit of 12.5%. If Ratan purchased the article for Rs1,215, then at what price did Rajan purchase it?

This questions was previously asked in

SSC MTS 6th July 2022 Shift-2

Rs2,000

Rs950

Rs1,000

Rs900

- Ratan bought the article for Rs1,215. This is the final price with all previous profits and losses included.

- Mohan sold it to Ratan at a 12.5% profit. Let's find the price Mohan sold at.

- If Rs1,215 is 112.5% (100% + 12.5%) of Mohan's cost, his cost is calculated as: $$ \text{Mohan's cost} = \frac{1215 \times 100}{112.5} = Rs1,080 $$

- Shyam sold it to Mohan at a 10% loss.

- If Rs1,080 is 90% of Shyam's cost, Shyam's cost is: $$ \text{Shyam's cost} = \frac{1080 \times 100}{90} = Rs1,200 $$

- Rajan sold it to Shyam at a 20% profit.

- Rs1,200 is 120% of Rajan's purchase cost. Rajan's purchase cost is: $$ \text{Rajan's cost} = \frac{1200 \times 100}{120} = Rs1,000 $$

- Evaluating the options, option 3, Rs1,000 is correct.

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