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

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