Subject
Quantitative Aptitude
Topic
Profit & Loss
A man buys bananas at Rs. 6 a dozen and an equal number at Rs. 9 a dozen. If he sells all the bananas at Rs. 4.50 a dozen and suffers a loss of Rs. 25, how many bananas did he buy?
A man buys bananas at Rs. 6 a dozen and an equal number at Rs. 9 a dozen. If he sells all the bananas at Rs. 4.50 a dozen and suffers a loss of Rs. 25, how many bananas did he buy?
ক)
60খ)
50গ)
100ঘ)
80ঙ)
25Explanation
Let’s assume that the man bought x dozens of bananas at Rs. 6 a dozen and another x dozen of bananas at Rs. 9 a dozen. ∴ total quantity of bananas bought = 2x dozen ∴ cost price of bananas @ Rs. 6 a dozen = 6x ∴ cost price of bananas @ Rs. 9 a dozen = 9x ∴ total cost price of all bananas = 6x + 9x = 15x Now, the bananas were sold at Rs. 4.50 a dozen ∴ Selling price of all bananas = 2x × 4.50 = 9x Loss suffered is Rs. 25 ∴ Loss = Cost price – Selling price ⇒ 25 = 15x – 9x = 6x ⇒ x = 25/6 Total number of bananas bought = 2x dozens = 2x × 12 = 2 × (25/6) × 12 = 100 ∴ Number of bananas bought is 100Related questions
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