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Question
Sunil sells his bike worth Rs. 25000 to Rohit at a profit of 20%. After 6 months Rohit sells the bike back to Sunil at a loss of 20%. Find the total profit percent of Sunil considering both the transactions.
Solution
Sunil sells his bike to Rohit at 20% profit.
So S.P. of the bike for Sunil
= `25000 + 20/100 xx 25000`
= 25000 + 5000
= 30000
∴ The cost price of a bike to Rohit = ₹ 30000
Rohit sells the bike back to Sunil at a 20% loss
∴ S.P. of the bike for Rohit
= `30000 - 20/100 xx 30000`
= 30000 − 6000
= 24000
∴ In the second transaction, Sunil pays 24000 to Rohit
In the first transaction, he had received 30000 from Rohit
∴ Sunil made a profit of ₹ (30000 – 24000)
= ₹ 6000
Sunil earned this profit on the bike which cost him ₹ 25000
∴ Total profit % that Sunil makes
= `6000/25000 xx 100`
= `600/25`
= 24
∴ Sunil makes a 24% profit considering both the transactions.
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