Soni sold a mobile phone to Raju at a profit of 10%, Raju sold it to Alok at a loss of 5% and Alok sold it to Sohan at a profit of 20%. If Sohan bought it for ₹ 6,270, what is the cost price (in ₹ ) of the mobile for Soni?
Show answer & explanation
Correct answer: A
Explanation
The correct asnwer is option 1 i.e. ₹5,000.
Selling price = Cost price × (100 + profit %)/100
Selling price = Cost price × (100 - loss %)/100
Let's assume Soni buys a mobile phone = 100x
Soni sold a mobile phone to Raju at a profit of 10%.
Raju buys a mobile phone = 100x × 110/100 = 110x
Raju sold it to Alok at a loss of 5%
Alok buys a mobile phone = 110x × 95/100 = 104.5x
Alok sold it to Sohan at a profit of 20%
Sohan buys a mobile phone = 104.5x × 120/100 = 125.4x
According to the question,
125.4x = 6270
x = 50
So, the cost price (in ₹ ) of the mobile for Soni = 100x = 100 × 50 = Rs 5000