Question

what is the CP of the mixture of rice? statement:-
1)Karen mixed rice a and rice B in the ratio 3:2 and marks a profit of 8.33%
2) Karen mix 3 kg of rice a and the resultant mixtures is 4 times more than of quality of the rice b.
which option is correct?
1) each statement alone is sufficient to answer the question
2) both statements one and two together are sufficient to answer the questions asked but neither statements alone is sufficient
3) statement 1 and 2 together are not sufficient to answer the question asks and additional data to the problems is needed.
4) only one of the statement alone is sufficient to answer the question but other statement is not.​

My box with a stick is not running
I will throw it out of my window
:l​

Answer 1

Given:

Cost price of rice - A = Rs. 60

Cost price of rice - B = rs. 65

Cost price of rice - C = Rs. 75

Profit % = 10%

Selling price = Rs. 77

Formula Used:

Cost price = Selling price × 100/(100 + profit%)

Calculation:

Cost Price of the mixture = 77 × (100/110) = Rs. 70

Now, check using options

Option 1: Cost price of the mixture = (60 × 3 + 65 × 1 + 75 × 1) / (3 + 1 + 1) = Rs. 64 (not true)

Option 2: Cost price of the mixture = (60 × 1 + 65 × 3 + 75 × 1) / (1 + 3 + 1) = Rs. 66 (not true)

Option 3: Cost price of the mixture = (60 × 2 + 65 × 2 + 75 × 3) / (2 + 2 + 3) ≈ Rs. 68 (not true)

Option 4: Cost price of the mixture = (60 × 1 + 65 × 1 + 75 × 3) / (1 + 1 + 3) = Rs. 70 (true)

∴ Required ratio is 1 : 1 : 3.

Hope it helps

Answer 2

The correct answer is option 3: statement 1 and 2 together are not sufficient to answer the question asked, and additional data to the problem is needed.

To find the CP of the mixture of rice, we need to know the CP of each type of rice and their proportions in the mixture.

Let's examine each statement to see if it provides us with enough information to answer the question:

Statement 1: Karen mixed rice a and rice b in the ratio 3:2 and marks a profit of 8.33%.

This statement tells us the ratio in which rice a and rice b were mixed, but it does not provide us with any information about the CP of either rice or the total quantity of rice.

Therefore, statement 1 alone is not sufficient to answer the question.

Statement 2: Karen mix 3 kg of rice a, and the resultant mixture is 4 times more than of quality of the rice b.

This statement gives us the quantity of rice a used in the mixture and the ratio of the quantity of rice b to the resultant mixture.

However, it does not tell us the CP of either rice, so we cannot calculate the CP of the mixture.

Therefore, statement 2 alone is not sufficient to answer the question.

Since neither statement alone is sufficient, we need to consider both statements together.

Statements 1 and 2:

Together, we know that Karen mixed rice a and rice b in the ratio 3:2, and the quantity of rice a used in the mixture is 3 kg.

We also know that the resultant mixture is four times the quantity of rice b. However, we still do not know the CP of either rice, which is necessary to calculate the CP of the mixture.

Therefore, statements 1 and 2 together are not sufficient to answer the question.

Thus, the correct answer is option 3: statement 1 and 2 together are not sufficient to answer the question asked, and additional data to the problem is needed.

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