One-third of goods are sold at a 15% profit. 25% of the goods are sold at a 20% profit and the rest at a 20% loss. If the total
profit of Rs138.50 is earned on the whole transaction, then the value(in Rs) of the goods is:
This questions was previously asked in
SSC CGL 4th March 2020 Shift-2
Explanation:
Let the total goods be 300
One third, means 100 goods are sold at 15? profit
25? means 75 goods are sold at 20? profit
The rest, means 125 goods are 20? loss
Let the price of each good be Re. 1
So, now calculating the profit and loss amounts:
For 100 goods, profit is 15? = Rs. 115
For 75 goods, profit is 20? = Rs. 90
For 125 goods, loss is 20? = Rs. 100
So, total amount of the selling price= Rs. 305
Total cost price = Rs.300
So, the profit = Selling price- cost price = Rs. 305-300 = Rs.5
Now equating it to the real values:
Rs. 5 is the profit when total amount of goods is Rs 300.
Rs. 138.50 is the profit when total amount of goods is= (300/5)*138.5 = Rs. 8310
The value of the goods is Rs. 8310.