Question:
By selling 130 cassettes, a man gains an amount equal to the selling price of 5 cassettes. Find the gain per cent.
Solution:
It is given that,
Gain = SP of 5 cassettes .....(1)
Gain = SP of 130 cassettes − CP of 130 cassettes
⇒ SP of 5 cassettes = SP of 130 cassettes − CP of 130 cassettes [From (1)]
⇒ CP of 130 cassettes = SP of 125 cassettes .....(2)
Let the CP of 1 cassettte be ₹x.
∴ CP of 125 cassettes = ₹125x
CP of 130 cassettes = ₹130x
SP of 125 cassettes = CP of 130 cassettes [From (2)]
⇒ SP of 125 cassettes = ₹130x
Now, gain $\%=\frac{\mathrm{SP}-\mathrm{CP}}{\mathrm{CP}} \times 100 \%=\frac{(130 x-125 x)}{125 x} \times 100 \%=\frac{5 x}{125 x} \times 100 \%=4 \%$
Thus, the gain percent is 4%.