a man sells a tv set for rs. 3450 and makes a profit of 15%. he sells another tv at a loss of 10%. if on the whole, he neither gains nor loses, find the selling price of the second tv set.
The selling price of the second TV set is Rs. 4050.
Step-by-step solution
Let’s break it down in a simple way.
- First TV set
- Selling price (SP₁) = Rs. 3450.
* Profit = 15%.
* Cost price (CP₁) = 34501.15=3000\frac{3450}{1.15}=30001.153450=3000.
* Profit on first TV = 3450 − 3000 = Rs. 450.
- Condition of no overall profit or loss
- This means total profit = total loss.
- So, loss on second TV must be Rs. 450.
- Second TV set
- Let cost price of second TV = xxx.
- Loss = 10% of xxx = Rs. 450.
* So, 0.10x=450⇒x=45000.10x=450\Rightarrow x=45000.10x=450⇒x=4500.
* Selling price (SP₂) = CP₂ − 10% of CP₂
= 4500−0.10×4500=4500×0.90=40504500-0.10\times 4500=4500\times 0.90=40504500−0.10×4500=4500×0.90=4050.
Final answer
So, the selling price of the second TV set = Rs. 4050.
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