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How many kgs of Basmati rice costing Rs. 42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs. 24 per kg so that he makes a profit of 25% on selling the mixture at Rs. 40/kg?

Question

How many kgs of Basmati rice costing Rs. 42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs. 24 per kg so that he makes a profit of 25% on selling the mixture at Rs. 40/kg?

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Solution

Sure, let's solve this step by step.

Step 1: Let's assume that the shopkeeper mixes 'x' kgs of Basmati rice with 25 kgs of ordinary rice.

Step 2: The cost price of the rice mixture for the shopkeeper would be (42x + 2425) Rs.

Step 3: If the shopkeeper sells the mixture at Rs. 40/kg, the total selling price for the (x+25) kgs of rice mixture would be 40*(x+25) Rs.

Step 4: The shopkeeper wants to make a profit of 25%. So, the selling price should be 125% of the cost price. We can set up the equation as follows:

125/100 * (42x + 2425) = 40(x+25)

Step 5: Simplify the equation to find the value of 'x'.

Solving the equation:

125*(42x + 600) = 10040x + 10040*25 5250x + 75000 = 4000x + 100000 5250x - 4000x = 100000 - 75000 1250x = 25000 x = 25000 / 1250 x = 20

So, the shopkeeper should mix 20 kgs of Basmati rice with 25 kgs of ordinary rice to make a profit of 25% on selling the mixture at Rs. 40/kg.

This problem has been solved

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