One third of goods are sold at a 15% profit, 25% of the goods are sold at a 20% profit and the rest of the goods are sold at 10% loss. If a profit of Rs. 350 is earned in the entire transaction then the value of the goods (in ₹) is:
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 6000
Let's assume the total number of goods = 120
one-third of goods are sold on the profit of 15% = 120 × (1/3) × (15/100) = 6
Profit = 6
One-fourth of goods are sold on the profit of 20% = 120 × (1/4) × (20/100) = 6
Profit = 6
Remaining goods are sold on the loss of 10% = 50 × 10/100 = 5
Loss = 5
Overall profit = 350 (given)
6 + 6 - 5 = 350
7 = 350
1 = 50
Total number of goods = 120 × 50 = 6000