The price 4

The price of a commodity was increased in the ratio of 5:4. After one month, the same commodity was reduced in the ratio of 7:8 to attract more customers. Suppose the new price was 35. Calculate the price of the commodity before the increase.

Correct answer:

a =  32

Step-by-step explanation:

$$\begin{gathered} b=35 \\ {r}_1=5/4=\frac{5}{4}=1\frac{1}{4}=1.25 \\ {r}_2=7/8=\frac{7}{8}=0.875 \\ r=r_1\cdot r_2=1.25\cdot 0.875=\frac{35}{32}=1\frac{3}{32}\doteq 1.0938 \\ a\cdot r=b \\ a=b/r=35/1.0938=32 \end{gathered}$$

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