Question
Three warehouses store goods in the ratio 7:5:6. When 10
more units are added to each, the ratio becomes 9:7:8. What was the original total quantity of goods stored?Solution
ATQ,
Let the initial quantity in the three warehouses be 7x, 5x, and 6x. According to the question: (7x + 10):(5x + 10) = 9:7 ⇒ 7(7x + 10) = 9(5x + 10) ⇒ 49x + 70 = 45x + 90 ⇒ 4x = 20 ⇒ x = 5 Total initial quantity = 7x + 5x + 6x = 18x = 90
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