A retailer purchased some goods for ₹1,280 and he sold one-third at a loss of 15%. At what gain percentage should the remaining be sold, so as to gain 15% on the whole transaction?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 30 Percent.
Let's assume he bought 1280 things for Rs 1280.
He sold one-third at a loss of 15%.
1/3 of 1280 = 426.6
426.6 Selling price of goods = Purchase price × (100 – Loss %)/100
= 426.6 × 85/100 = 362.6
Remaining goods = 1280 – 426.6 = 853.4
For 15% profit, selling price of goods = cost price × (100 + profit %)/100
= 1280 × 115/100 = 1472
So, selling price of remaining salmon = 1472 – 362.6 = 1109.4
Required percentage = (1109.4 – 853.4)/853.4 × 100 = 30%