Question

Bananas were purchased at the rate of RS.240 for hundred and sold at RS.40 per
dozen making a profit of RS.1120. How many bananas were sold?
(1) 1500
(2) 600
(3) 1200
4) 1120 ​

Answer 1

Answer:

I thik its answer should be (4)

Answer 2

The Number of bananas were sold = 1200.

Step-by-step explanation:

∵Purchasing price of 100 bananas = 240  Rs.

∴ Purchasing price of 1 banana = $\dfrac{240}{100}$  = $\dfrac{12}{5}$  Rs.

Now, Selling price of a dozen (12) banana = 40  Rs.

∴ selling price of 1 banana = $\dfrac{40}{12}$  =  $\dfrac{10}{3}$   Rs.

So,  profit on selling 1 banana = selling price of 1 banana - Purchasing price of 1 banana

∴   profit on selling 1 banana = $[\dfrac{10}{3}-\dfrac{12}{5}]$  =  $\dfrac{50-36}{15}$  = $\dfrac{14}{15}$  Rs.

Now,  $\dfrac{14}{15}$  Rs. profit on selling no. of banana = 1

    ∴ 1120 Rs. profit on selling no. of bananas = $\dfrac{1120\times15}{14}$  = 1200.