P buys an article for Rs. 50 and sold it to Q at a profit of 10%, then Q sold it to R at aprofit of 25%.What does R paid for it?
Question
P buys an article for Rs. 50 and sold it to Q at a profit of 10%, then Q sold it to R at a profit of 25%. What does R paid for it?
Solution
Step 1: Calculate the selling price for P to Q
P bought the article for Rs. 50 and sold it to Q at a profit of 10%.
So, the selling price for P to Q = Cost price + Profit = Rs. 50 + 10% of Rs. 50 = Rs. 50 + Rs. 5 = Rs. 55
Step 2: Calculate the selling price for Q to R
Q sold the article to R at a profit of 25%. Here, the cost price for Q is the selling price of P which is Rs. 55.
So, the selling price for Q to R = Cost price + Profit = Rs. 55 + 25% of Rs. 55 = Rs. 55 + Rs. 13.75 = Rs. 68.75
Therefore, R paid Rs. 68.75 for the article.
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