Question

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Here, your question
Archana sold a watch to Shyam at a profit of 10%. Shyam sold the same watch at a profit of 5 % to Anjali for Rs. 2541.Find the CP and SP of the watch for Archana.

Given Answer in books
CP=Rs 2200,SP=Rs 2420

Answer 1

Let the CP of watch for Shyam be a

SP for Shyam = CP for Anjali

=> CP + Gain = 2541

=> a + 5 % of a = 2541

=> a + 5a/100 = 2541

=> 105a/100 = 2541

=> 21a/20 = 2541

=> a = 2541 × 20 /21

=> a = 121 × 20

=> a = 2420

Cost price for Shyam = Rs 2420

Selling price of watch for Archana = Cost price of watch for Shyam

= Rs 2420

Now,

Let the cost price of watch for Archana be b

Selling price for archana = 2420

=> b + 10 % of b = 2420

=> b + 10b/100 = 2420

=> 110b/100 = 2420

=> 11b/10 = 2420

=> b = 24200/11

=> b = 2200

Cost price of watch for Archana = Rs 2200

Answer 2

Let the CP of watch for Shyam be a

SP for Shyam = CP for Anjali

=> CP + Gain = 2541

=> a + 5 % of a = 2541

=> a + 5a/100 = 2541

=> 105a/100 = 2541

=> 21a/20 = 2541

=> a = 2541 × 20 /21

=> a = 121 × 20

=> a = 2420

Cost price for Shyam = Rs 2420

Selling price of watch for Archana = Cost price of watch for Shyam

= Rs 2420

Now,

Let the cost price of watch for Archana be b

Selling price for archana = 2420

=> b + 10 % of b = 2420

=> b + 10b/100 = 2420

=> 110b/100 = 2420

=> 11b/10 = 2420

=> b = 24200/11

=> b = 2200

Cost price of watch for Archana = Rs 2200