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Find the selling price of goods if two salesmen claim to make 25% profit each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs. 100 and selling price being the same in both the cases?

a) Rs. 1200
b) Rs. 1600
c) Rs. 2400
d) Rs. 2500

Answer: a
Explanation: Let CP’s be Rs. 1000 each, their respective SP will be,
1000 == 25%↑ ⇒ 1250 [person calculating profit on the CP]
1000 == 33.33%↑ ⇒ 1333.33 [The person calculating his profit on SP: 25% of SP = 33.33% of CP]
The difference turned out to be = 83.33. This has occured when we have assumed the CP as 1000. But, we are given difference of Rs. 100
On comparing,
83.33 = 1000
1 = $$\frac{{1000}}{{83.33}}$$
100 = $$\frac{{1000}}{{83.33}} \times 100$$   = Rs. 1200

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