Question

A vendor bought some bananas at 4 per rupee and an equal number at 5 per rupee. when he sold the entire quantity at 9 for 2 rupees. What is his percentage profit or loss?
A) No profit, no loss
B) 8.88% profit
C) 6.66% loss
D) 1.23% loss

Answer 1

Answer:

The correct option is: D) 1.23% loss

Step-by-step explanation:

• Step-1: Suppose the vendor bought 'x' bananas at 4 per rupee.

       Price of 'x' bananas =Rs. $\frac{x}{4}$

       He should bought 'x' bananas at 5 per rupee.

        Price of 'x' bananas =Rs. $\frac{x}{5}$

        The vendor bought total 2x bananas wit Rs. $\frac{x}{4}$ + $\frac{x}{5}$ =Rs. $\frac{9x}{20}$  

• Step-2: He sold those 2x bananas at a rate of 9 bananas per 2 rupees. The selling price of 2x bananas =Rs. $\frac{4x}{9}$

                      The cost price of 2x bananas = Rs. $\frac{9x}{20}$  

                      The profit = selling price - cost price = $\frac{4x}{9}$ - $\frac{9x}{20}$ = - $\frac{x}{180}$

   Negative profit indicates loss. The loss amount = Rs.$\frac{x}{180}$

   Percentage of loss = $\frac{loss}{cost price} \times100$% = $\frac{\frac{x}{180} }{\frac{9x}{20} } \times$ 100% = 1.23%

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