A multi-store outlet sold 1375 items in a week earning 25% gain. The total gain is also equal to the selling price of 'Q' number of items. What is the value of Q?
- A275
- B225
- C325
- D250
Solution & Step-by-step Explanation
Let the Cost Price of one item be CP and the Selling Price of one item be SP.
Given that the gain is 25%:
SP=CP+25% of CP=1.25⋅CP
CP
SP
=
1
1.25
=
4
5
From this ratio, we get:
Gain on one item=SP−CP=5−4=1 unit
Selling Price of one item=5 units
The total gain on selling 1375 items is:
Total Gain=1375×(Gain on one item)=1375×1=1375 units
According to the question, this total gain is equal to the selling price of Q items:
Total Gain=Q×SP
1375=Q×5
Q=
5
1375
=275
Therefore, the value of Q is 275.
Given that the gain is 25%:
SP=CP+25% of CP=1.25⋅CP
CP
SP
=
1
1.25
=
4
5
From this ratio, we get:
Gain on one item=SP−CP=5−4=1 unit
Selling Price of one item=5 units
The total gain on selling 1375 items is:
Total Gain=1375×(Gain on one item)=1375×1=1375 units
According to the question, this total gain is equal to the selling price of Q items:
Total Gain=Q×SP
1375=Q×5
Q=
5
1375
=275
Therefore, the value of Q is 275.