Q.2 - A chair and a table together cost Rs 1800. If by selling the tableat a profit of 15% and the chair at a loss of 10% a total profit of 6% ismade, then what is the cost price of the chair?PLEASE GIVE STEP BY STEP EXPLANATIONNO SPAMMING!!!
Answers
The cost price of the chair = 648
Step-by-step explanation:
We have given that,
Cost of table and chair together = 1800
profit made on table = 15%
Loss on selling of chair = 10%
And total gain = 6%
First we have to calculate the ratio of cost of these two items through Allegation method
Gain on table. loss on chair
. 15 -10
total gain
6
. 16 : 9
cost of tabel. cost of chair
So the ratio of the cost = 16 : 9
Total cost ratio will be = cost of tabel+cost of chair
=> 16+9=25
Cost of chair = Total cost × Ratio of chair / Total cost ratio
=> 1800×9/25 = 648
=> 1800×9/25 = 648The cost of chair will be = 648.
given that,
Cost of table and chair together = 1800
profit made on table = 15%
Loss on selling of chair = 10%
And total gain = 6%
First we have to calculate the ratio of cost of these two items through Allegation method::
Gain on table. loss on chair
. 15 -10
total gain
6
. 16 : 9
cost of tabel. cost of chair
So the ratio of the cost = 16 : 9
Total cost ratio will be = cost of tabel+cost of chair
=> 16+9=25
Cost of chair = Total cost × Ratio of chair / Total cost ratio
=> 1800×9/25 = 648
=> 1800×9/25 = 648The cost of chair will be = 648.
Hope this may help you