by selling 125 cassettes, a man gains an amount equal to the selling price of 5 cassettes. find the gain per cent
Let 125 cassettes cost rs 1000
Then,1 cassette cost rs 8 (1000/125 =8)
Selling price of 5 cassettes will be 5x8=40
Thus,gain%=40/1000*100 answer:4
To find the gain percentage, we need to calculate the profit and then divide it by the cost price (CP) and multiply the result by 100.
Let's go through the necessary steps:
1. Determine the selling price (SP) of one cassette.
The problem states that the gain is equal to the selling price of 5 cassettes. Therefore, we can say that the difference between the selling price and the cost price of one cassette is the gain per cassette. So, let's assume the selling price of one cassette is SP.
2. Calculate the cost price (CP) of one cassette.
As per the problem, the gain is equal to the selling price of 5 cassettes. Thus, the cost price (CP) of one cassette is equal to the selling price of 5 cassettes minus the gain per cassette.
CP = SP - (SP/5)
3. Calculate the total cost price.
To find the total cost price (TCP) of all 125 cassettes, we multiply the cost price of one cassette by the total number of cassettes.
TCP = 125 * CP
4. Calculate the total selling price.
Since the gain is equal to the selling price of 5 cassettes, the total selling price (TSP) is equal to the gain multiplied by the number of cassettes.
TSP = 125 * SP
5. Calculate the profit (P).
Profit (P) is the difference between the selling price and the cost price.
P = TSP - TCP
6. Calculate the gain percentage.
The gain percentage is calculated by dividing the profit by the cost price and multiplying the result by 100.
Gain Percentage = (P / TCP) * 100
By following these steps, we can find the gain percentage.