A man sells wheat at a profit of 5%. If he reduces the price by Rs 4 per kg he would make a loss of 15. Then the cost price of wheat is?
Answers
Answer:
Step-by-step explanation:
Let Say the cost price of wheat is = C Rs/Kg
Let say He sell Y kg
Cost Price = CY Rs
Sold at Profit of 5 % = (5/100) CY = 0.05CY Rs
Selling Price = Cost Price + Profit
Selling Price = CY + 0.05CY = 1.05CY Rs
Selling Price / kg = 1.05CY/Y = 1.05C Rs/kg
Price reduced by Rs 4 Kg
Then Reduced Price = 1.05C -4 Rs/Kg
New Selling Price = Y(1.05C -4) Rs
as now loss of Rs 15
Cost price - Selling Price = Rs 15
CY - Y(1.05C -4) = 15
=> CY - 1.05CY + 4Y = 15
=> Y( 4 - 0.05C) = 15
now cost price of wheat is dependent upon The wheat sold
Say Wheat sold = 10 kg
then
10(4 - 0.05C) = 15
=> 4 - 0.05C = 1.5
=> -0.05C = - 2.5
=> C = 2.5/0.05
=> C = 50
50 Rs Per kg and 10 kg sold
so Cost Price = Rs 50 * 100 = Rs 500
Similarly if we say 4kg Material Sold
Then 4(4 - 0.05C) = 15
=> 4 - 0.05C = 3.75
=> -0.05C = -0.25
=> C = 5
5rs/kg
cost price = 5 * 4 = Rs 20
Step-by-step explanation:
answer is given above .
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