Question

Find the ratio in which rice at Rs. 72 a kg be mixed with rice at Rs. 57 a kg to produce a mixture worth Rs. 63 a kg.
2:5
3:4
2:3
1:3


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Answer 1

AnswEr :

• Required ratio is 2 : 3 (Option 3).

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GivEn :

• Rice at Rs 72 per kg is mixed with rice at Rs 57 per kg to produce rice with worth Rs 63 per kg.

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ConcEpt UsEd :

$\dag \: \:{ \large{ \underline{ \underline{ \sf{ \red{RulE \: Of \: AlligaTion : - }}}}}}$

Rule of alligation is all about the difference in the quantities!!

It states that :

When two or more different quantities of different substances are mixed together to produce a mixture of a mean value, then their ratio of quantities is inversely proportional to the differences in their cost from the mean value, respectively!!

So let's solve the question using this concept...!!

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SoluTion :

By the rule of alligation,

• Cost of 1 kg rice of 1st kind : Rs 72

• Cost of 1 kg rice of 2nd kind : Rs 57

Mean Price :

➠ 72 + 57 / 2

➠ Rs 63 (approx)

Now,

➝ Required ratio = 6 : 9 (As it gives difference 3)

➝ Required ratio = 2 : 3

Therefore, the ratio is 2 : 3 (Option 3)!!

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Answer 2

Answer:

The answer is a option A

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