Question 54

P sold an article to Q at a profit of 20%. Q sold the same article to R at a loss of 25%. R sold the same article to T at a profit of 50%. If P bought the article at ₹100, then at what price did T buy that article?

Solution

As given the CP for P =100.

Profit % = $$\frac{SP-CP}{CP}$$ $$\times{100}$$

Q bought the article from P at 20 % profit i.e. CP for Q =100+(20% of 100) = 100+20=120

R bought the article from Q at loss of 25 % i.e. CP for R = 120-(25% of 120) = 120-30 = 90

Finally,T bought the same article at the profit of 50 % from R i.e. 90+(50% of 90) = 90+45 = 135.

Hence option (D) will be correct.

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