The profit of a commodity at its current price is 26% of the cost. If the cost is reduced by 10%, what percentage of the cost is the profit at the current price

The profit of a commodity at its current price is 26% of the cost. If the cost is reduced by 10%, what percentage of the cost is the profit at the current price

forty-six

For a commodity, the profit is 26% of the cost at the current price. If the cost is reduced by 10%, the profit is 26% of the cost at the current price______ %．

26% △ 1 × (1-10%), = 26% △ 90%, ≈ 28.9%; so the answer is: 28.9%

If the cost of a commodity is reduced by 8% and the retail price remains unchanged, the profit will increase from the current M% to (M + 10)%
It is necessary to solve the equation of one degree with one variable

Suppose the original cost is a yuan, then the current cost is a (1-8%) yuan
a(1+m%)=a(1-8%)[1+（m+10)%]
The solution is m = 15
A: the value of M is 15
For this kind of problem, it is better to set an auxiliary unknown