Question Details

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?

Options

A

Neither loss nor gain

B

Loss 1%

C

Gain 1%

D

Gain 0.5%

Show Answer

Correct Answer :

Option C

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
SP for Gopal=100+(10% of 100)=100+10=Rs 110

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
Loss for Ram=10% of 110=10100×110=Rs 11

New Price paid by Gopal=110-11=Rs 99

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 = 110-99=Rs 1

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:
Gain %=1100×100=1%

Thus, Gopal will be in a position of Gain 1%.

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