Question
The sum of selling price and cost price of the two
articles 'P' and 'Q' is Rs. 14,000 and Rs. 11,400, respectively. 'Q' and 'P' are sold at a profit of 25% and 20% respectively. Find the selling price of 'P'.Solution
Let the cost price of 'Q' and 'P' be Rs. '4m' and Rs. '5n' respectively
Selling price of 'Q' = 1.25 X 4m = Rs. '5m'
Selling price of 'P' = 1.2 X 5n = Rs. '6n'
Now, 4m + 5n = 11400 --------(I)
And, 5m + 6n = 14000 -------(II)
On solving 5 X equation I - 4 X equation II,
We get, 5 X (4m + 5n) - 4 X (5m + 6n) = 5 X 11400 - 4 X 14000
Or, 20m + 25n - 20m - 24n = 57000 - 56000
Or, 'n' = 1000
Therefore, selling price of 'P' = 6 X 1000 = Rs. 6,000
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