# 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 - Mathematics and Statistics

Sum

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.

Concept: Profit and Loss
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