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 ₹138.50 is earned on the whole transaction, then the value(in ₹) of the goods is:
Answer & explanation
Correct answer: option 4
Let the quantity = 120
one third sold at 15% profit means,
= \(\frac{120}{3}\) = 40
SP of 40 = \(\frac{40 x 115}{100}\) = 46
25% = \(\frac{120}{4}\) = 30
SP of 30 = \(\frac{30 x 120}{100}\) = 36
Remaining 50 is sold at 20% loss
SP of 50 = \(\frac{50 x 4}{5}\) = 40
Profit = Total selling price - Total cost price
( 46 + 36 + 40) - (120) = 2
2x = 138.50
120x = ₹8,310