CLOCK PROBLEM:

There are two clocks A and B. Clock A runs correctly whereas clock B gains one minute for every hour. If they both are set wit the time 12:00, find after how much minutes/hours/days they show the same time?

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Clocks

When You are asked to find the time taken by the hands of a clock within an hour you can use this method. For Example Lets Take a Question.

Question:
              At what time will the hands of a clock meet each other between 5 o clock to 6 o clock.


Solution:

              The Question is to find a time between 5 & 6.

So, the hours in the time is definitely 5. We just need to find the minutes alone.

To find the minutes just multiply the Hours with the constant 60/11

                  = 5 * 60 / 11

                                                = 300 / 11
                                                = 27 ³/₁₁

We found that the minutes taken is
                                            = 27 ³/₁₁

_{So, that the time during the meeting of the hands is}

                                                   = 5: 27 ³ / ₁₁

_{Note: You cannot use this When You are Asked to find the time when a particular angle is formed between hands. you can use it only when the hands meet each other}

 

 

Profit & Loss

Profit can be calculated either in amount or in quantity.

For Example, (i)If  a product is bought for Rs 100 and sold for Rs 120, The Profit is Rs.20.
                       (ii)If 10 Products Are brought for some amount and 8 are sold for the same amount means the profit is 2 products.

In the first case The Profit % is Profit divided by cost Price * 100

In Second Case The Profit % is Profit divided by Sold amount * 100

In our Examples:
(i) Profit % = (20 / 100) * 100 = 20 %

(ii) Profit % = (2 / 8) * 100 = 25%

Solution

Here is the solution for our Rice & Wheat Question

Rice and wheat
Given the ratio of their quantities is 7:4
And the ratio of their prices is 5:8
So clearly they are purchased in the ratio 35:32.(multiplication of quantity and Price Ratios)
 

So rice for 35x and wheat for 32x.
35x+32x=2010
67x=2010
implying x=30
Hence rice is got for 30*35
=Rs.1050

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Question Time

Rice and wheat are bought for a total of Rs.2010. The ratio of quantity of rice to that of wheat is 7:4 and the ratio of prices of equal quantities of rice to that of sugar is 5:8. Then rice is bought for how much rupees?