When a store sells a commodity, the purchase price is reduced by 5%, but the price remains unchanged, which increases the profit rate from M% to (M+6)%. Find the value of m ..

A: If the original purchase price is X yuan, the price is (1+M%)x yuan, and the subsequent purchase price is 95% X.

The profit is (1+m%) x-95% x = (5+m)% x.

The profit rate is (5+m)% x ÷ 95% x * 100% = (m+6)%.

That is, (5+M)÷95=(M+6)÷ 100.

5M=70

M= 14