A person bought some mangoes at the rate of 7 per rupee. He bought the same number of mangoes at the rate of 6 per rupee. He mixes both types and sells at 14 for rupees 6. In the business he earns a profit of Rs. 46. How many mangoes he bought in all.
Suppose he bought x mangoes of each quality. Then his total investment (cost price) = x/7+x/6=13x/42 rupees. The total number of mangoes bought is 2x (since he bought x mangoes at each rate). He sells them at the rate of 14 for 6 rupees. Therefore, the selling price per mango is 6/14=3/7 rupees The selling price for 2x mangoes =2x =2×3/7 =6x/7 rupees. ATQ- Profit =6x/7 -13x/42 6x/7 -13x/42 =46 36x-13x/42 =46 23x/42 =46 X =84. The total number of mangoes bought =2×84 =168.
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