Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal’s position if he agreed?
Correct Answer :
Gain 1%
Solution :
The correct option is Gain 1%.
Let us break down the transactions step-by-step to understand Gopal's overall financial position.
Step 1: Initial Purchase by Gopal
Let the initial cost price (CP) of the cell phone for Gopal be Rs 100.
Step 2: Sale from Gopal to Ram
Gopal sells the cell phone to Ram at a profit of 10%.
Selling Price (SP) for Gopal = Cost Price + Profit
At this stage, Gopal has received Rs 110, so he has a gain of Rs 10.
Step 3: Sale back from Ram to Gopal
The cost price for Ram is Rs 110.
Ram sells it back to Gopal at a loss of 10%.
Selling Price for Ram (which is the new buying price for Gopal) = Cost Price for Ram - Loss
Step 4: Calculate Gopal's Overall Gain or Loss
Initially, Gopal had a phone worth Rs 100.
After the transactions, Gopal has the same phone back, but let's check his net cash flow:
Money received when selling to Ram = +Rs 110
Money spent when buying back from Ram = -Rs 99
Net money retained by Gopal =
Since Gopal bought back his original phone and kept an extra Rs 1 on his original outlay of Rs 100, his net percentage gain is:
Thus, Gopal will be in a position of Gain 1%.
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