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A trader sells Dal mixture of two types A and B. The ratio of type A to type B dal in 60kg Dal mixture is 7 : 5. If some kg type A dal and 2 kg of type B dal are added to the mixture then the ratio of type A to type B dal becomes 5 : 3. What quantity of a newly formed mixture of dal?

A trader sells Dal mixture of two types A and B. The ratio of type A to type B dal in 60kg Dal mixture is 7 : 5. If some kg type A dal and 2 kg of type B dal are added to the mixture then the ratio of type A to type B dal becomes 5 : 3. What quantity of a newly formed mixture of dal? Correct Answer 72 kg

Type A dal in 60kg dal mixture = 60 × 7/12 = 35kg

Type B dal in 60kg dal mixture = 60 × 5/12 = 25kg

Let type A dal added into the mixture be A kg.

Then,

⇒ (35 + A) : (25 + 2) = 5 : 3

⇒ 105 + 3A = 135

⇒ A = 10

∴ New quantity of mixer formed = (35 + 10) + (25 + 2) = 72kg

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