Question

A cloth merchant sells cloth at a mark-up of 10% for
every metre of cloth. What will be his profit in summer
if the metre scale expands 10%?​

Answer 1

Answer:

HERE'S YOUR ANSWER IN THE PHOTO

Answer 2

Given:

• The cloth merchant sells cloth at $10$% for every metre of cloth.
• The metre scale expands $10$%.

To find:

• The profit of cloth merchant in summer.

Step-by-step explanation:

• We know that the cloth merchant sells a cloth at $10$% for every metre of cloth.
• Let us assume that the cloth merchant sells $150$ metre of cloth.
• The amount to rupees he could make is $10$% in $150$ metre.
• Now let us calculate what is $10$% in $150$ metre.
• $10$% in $150$ can be calculated by,

        $(150)(\frac{10}{100})$

• By solving the above equation we get how much the cloth merchant will earn if he sell $150$ metre of clothe,
• The cloth merchant will get $15rs$.
• If the metre scale is expands by $10$%, then instead of measuring $150$ metre he will measure,

       $150+10$%$(150)$

• So the cloth merchant will measure $165$ metre instead of $150$ metre and will get only $15rs$ which is only $9$% for every metre of cloth.
• Thus the cloth merchant profit is decreased by $1$%.

Final answer:

• The cloth merchant profit will decrease by $1$% in summer if the metre scale expands $10$%