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The ratio of iPhone users to Oneplus users is 4 ∶ 5 and the ratio of Oneplus user to Xiaomi users is 6 ∶ 7. If iPhone users increased 25%, Oneplus users increased in the ratio 3 ∶ 4 and the Xiaomi increased by 20%. What is the ratio of iPhone, Oneplus and Xiaomi users after increased?

The ratio of iPhone users to Oneplus users is 4 ∶ 5 and the ratio of Oneplus user to Xiaomi users is 6 ∶ 7. If iPhone users increased 25%, Oneplus users increased in the ratio 3 ∶ 4 and the Xiaomi increased by 20%. What is the ratio of iPhone, Oneplus and Xiaomi users after increased? Correct Answer 15 ∶ 20 ∶ 21

Given:

The ratio of iPhone users to Oneplus users = 4 ∶ 5

The ratio of Oneplus users to Xiaomi users = 6 ∶ 7

Calculations:

The ratio of iphone users to Oneplus users = 4 ∶ 5      ---(1)

The ratio of Oneplus users to Xiaomi users = 6 ∶ 7      ---(2)

Multiply by 6 in equation (1) and multiply by 5 in equation (2)

The ratio of iPhone, Oneplus and Xiaomi users = 24 ∶ 30 ∶ 35

Suppose the iPhone, Oneplus, and Xiaomi users be 24x, 30x, and 35x respectively 

According to the question

The new iPhone users = 24x × 125/100 = 30x 

The new Oneplus users = 30x × 4/3 = 40x 

The new Xiaomi users = 35x × 120/100 = 42x 

The new ratio between iPhone, Oneplus,and Xiaomi user = 30x ∶ 40x ∶ 42x = 15 ∶ 20 ∶ 21 

∴ The new ratio between iPhone, Oneplus and Xiaomi users is 15 ∶ 20 ∶ 21

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