Question

. A store usually sells a certain 8item at a 40% profit. One week the store has a sale,

during which the item is sold for 10% less than the usual price. During the sale, what

is the percent profit that the store makes on each of these items ?
on​

Answer 1

SOLUTION

GIVEN

A store usually sells a certain item at a 40% profit. One week the store has a sale, during which the item is sold for 10% less than the usual price.

TO DETERMINE

During the sale, the percentage of profit that the store makes on each of these items

EVALUATION

Let the cost price of each item = ₹ 100

Now the store sells the item at a 40% profit

So usual selling price

= ₹ ( 100 + 40 )

= ₹ 140

Now One week the store has a sale, during which the item is sold for 10% less than the usual price.

So on the day of sale selling price

$\displaystyle \sf{ = 140 - \bigg(140 \times \frac{10}{100} \bigg) }$

$\displaystyle \sf{ = 140 -14 }$

$= 126$

New profit = ₹ ( 126 - 100 ) = ₹ 26

Hence the required profit percentage

$\displaystyle \sf{ = \frac{26}{100} \times 100 \: \% }$

$\displaystyle \sf{ =26 \: \% }$

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