Question

A 10 percent gain is made by selling a mixture of two
types of rice at 280 per kg. If the type costing 350 per
kg was mixed with 120 kg of the other, how many
kilograms of the former was mixed?​

Answer 1

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Answer 2

Answer:

1.41 kg of rice which is costing Rs 350/kg was mixed per kg of another type rice that is costing Rs 120/kg.

Step-by-step explanation:

According to given problem,

• A 10 percent gain is made by selling a mixture of two types of rice at 280 per kg.

• Let A & B denote two types of rice. A is Rs 350 per kg and B is Rs 120 per kg.

• Let a amount of A type and b amount of B type  were mixed prior to the sale.

• Let C & S be the cost-price & the sell-price of the mixture of rice.

From the above mentioned data we can write the following relations,

S = (1 + 10/100)*C ….............................................. (1)

C = 350*a + 120*b …........................................... (2)

S = (a + b)*280 …................................................. (3)

From (1), (2) & (3) we get,

(a + b)×280 = (1 + 10/100)×(350×a + 120×b)

⇒ (1.1×350 - 280)×a = (280 - 1.1×120)×b

⇒ a/b = (280 - 1.1×120)/(1.1×350 - 280) = 148/105 = 1.41

⇒ b/a = 1/1.41 …....................................................... .(4)

• Therefore from (4) we can see that in the mixture of two types of rice,

• 1.41 kg of type A rice ( costing Rs 350/kg) was mixed per kg of type B rice ( costing Rs 120/kg).