The total price of a mobile and a watch is rs8000.
If 10% discount and 10% VAT IS imposed on both, their selling price becomes rs7920, find the marked price of mobile and watch separately.
Well I did this question and every time I get to a point where the variable are completely eliminated. The answer in the book is printed
Rs5000 and Rs 3000 but no matter what value you give to MP the condition is satisfied. Please help
first equation:
m + w = 8000
after discount, price would be .9(8000) = 7200
after VAT, price = 1.1(7200) = 7920
Since I got the final answer without knowing how much the watch or mobile cost, it doesn't matter how much the individual costs.
You solution is correct, you can use any cost of the two, as long as they add up to 8000
To get the actual costs of 5000 and 3000, they should have given some extra condition, such as the mobile costs rs1000 less than twice the cost of the watch.
Did you miss something in the typing?
If you didn't, the answer in the book is one of an infinite number of possible solutions.
Na! I checked out twice. Nothing extra is given. So it is perhaps one of those types!
To find the marked price of the mobile and watch separately, we can set up equations based on the given information.
Let's assume the marked price of the mobile is M and the marked price of the watch is W.
From the given information, we can deduce the following:
1. The selling price after a 10% discount and 10% VAT is rs7920. This means that the selling price is equal to 90% (100% - 10%) of the marked price after adding 10% VAT.
Therefore, we can write the equation:
0.9(M + W) = 7920
2. The total price of the mobile and watch is rs8000. This means the marked price before any deductions or taxes is equal to the sum of the prices of the mobile and the watch.
Therefore, we can write the equation:
M + W = 8000
Now, let's solve this system of equations:
From equation 2, we can express W in terms of M:
W = 8000 - M
Substituting W in equation 1 by its value:
0.9(M + (8000 - M)) = 7920
0.9(8000) = 7920
7200 = 7920
This is not true, and it suggests that there might be an inconsistency or error in the question or the given answer in the book.
It is possible that there is an error in the question or the given answer. The marked prices of Rs 5000 and Rs 3000 might not satisfy the conditions provided in the problem statement.
I would recommend rechecking the problem or seeking clarification from your teacher or instructor to ensure that the information is accurate and to understand if there might be any additional information or conditions that need to be considered in solving the problem.