P sold a mobile phone to Q at 25% profit. However, Q sold it to R at a loss of 10%. If R paid Rs3240 for the mobile phone, what
was the price (in Rs) paid by P for it?
This questions was previously asked in
SSC MTS 22nd October 2021 Shift-1
Explanation:
- Step 1: Understanding the problem
P sold a phone to Q at a profit of 25%. Q sold it to R at a loss of 10%. R paid Rs 3240.
- Step 2: Calculate Q's selling price to R
Since Q sold the phone at a loss of 10%, this means R bought it for 90% of Q's cost.
\[
Q's \text{ cost price} = 3240 / 0.9 = 3600
\]
- Step 3: Calculate P's original price
P sold the phone to Q at a 25% profit, which means Q bought it for 125% of P's cost.
\[
P's \text{ original price} = 3600 / 1.25 = 2880
\]
- Options Review
- Option 1: Rs 3,000
- Option 2: Rs 2,880
- Option 3: Rs 3,600
- Option 4: Rs 2,580
- Conclusion:
The price paid by P was Rs 2,880.
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By: santosh