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P sold a mobile phone to Q at 25% profit...

P sold a mobile phone to Q at 25% profit. However,Q sold it to R at a loss of 10% If paid Rs. 3240 for the mobile phone, what was the price (in R) paid by P for it ?

A

3000

B

2880

C

3600

D

2580

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to determine the price paid by P for the mobile phone. ### Step 1: Understand the Selling Price from Q to R Q sold the mobile phone to R at a loss of 10%. This means that if we denote the price at which Q bought the phone from P as \( SP_Q \), then the selling price from Q to R can be expressed as: \[ SP_R = SP_Q \times (1 - 0.10) = SP_Q \times 0.90 \] Given that \( SP_R = 3240 \) (the price paid by R), we can set up the equation: \[ 3240 = SP_Q \times 0.90 \] ### Step 2: Calculate the Selling Price from Q to P To find \( SP_Q \), we rearrange the equation: \[ SP_Q = \frac{3240}{0.90} \] Calculating this gives: \[ SP_Q = 3600 \] ### Step 3: Understand the Cost Price for P P sold the mobile phone to Q at a profit of 25%. This means that if we denote the cost price for P as \( CP_P \), then the selling price from P to Q can be expressed as: \[ SP_Q = CP_P \times (1 + 0.25) = CP_P \times 1.25 \] We already found \( SP_Q = 3600 \), so we can set up the equation: \[ 3600 = CP_P \times 1.25 \] ### Step 4: Calculate the Cost Price for P To find \( CP_P \), we rearrange the equation: \[ CP_P = \frac{3600}{1.25} \] Calculating this gives: \[ CP_P = 2880 \] ### Conclusion The price paid by P for the mobile phone was Rs. 2880.
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