Question

a shopkeeper bouth 16 shirts the cost of each being $175 he sold fiveof them at the rate of $160 per shirts. at what price per shirt should he sell the remaining shirts to make a profit of $90??


please help me!!​

Answer 1

Answer: $190

Given that a shopkeeper bought 16 shirts at the rate of $ 175. So, Let's find the total cost which is:

⇒ Cost = Number of shirts × C.P

⇒ Cost = 16 × 175

⇒ Cost = $ 2800

It is given that he sold five of them at the rate of $ 160 so let's find the money he earned while doing so,

⇒ Money earned = No. of shirts × S.P

⇒ Money earned = 5 × 160

⇒ Money earned = $ 800

The questions requests us to find the selling price of the remaining shirts such that the shopkeeper earns a profit of $ 90.

We know,

⇒ Profit = Price at which shirts should be sold - Price at which shirts were bought

⇒ $ 90 = Price at which shirts were sold - $2800

⇒ Price at which shirts should be sold = $2800 + $90

⇒ Price at which shirts should be sold = $2890

Hence, To make a profit of $90, The shopkeeper must sell those 16 shirts at a cost of $2890.

But 5 of the shirts are already sold at a different price which amounts to $800.

So, The cost of the remaining 11 shirts should be

⇒ S.P of remaining shirts = 2890 - 800

⇒ S.P of remaining shirts = $2090

But we have to find the S.P of one shirt only, So

⇒ S.P = S.P of remaining shirts / No. of shirts left

⇒ S.P = 2090 / 11

⇒ S.P = $ 190

Hence, The remaining shirts should be sold at a cost of $190.

Answer 2

Answer:

Given :-

$\leadsto$ A shopkeeper bought 16 shirts at the cost of each being $ 175 he sold five of them at the cost of 160 per shirt.

To Find :-

$\leadsto$ At what price per shirt should he sell then the remaining shirt to make a profit of $90.

Solution :-

At, first we have to find the total cost :

Given :

• Cost Price = $175
• No of shirt = 16 shirts

Then,

$\implies \sf Total\: Cost =\: \ \: 175 \times 16$

$\implies \sf\bold{\pink{Total\: Cost =\: \ \: 2800}}$

Now, we have to find the total money earned by the shopkeeper :

Given :

• Sold Price = $ 160
• No of shirt = 5 shirts

Then,

$\implies \sf Total\: money\: earned =\: \ \: 160 \times 5$

$\implies \sf\bold{\purple{Total\: money\: earned =\: \ \: 800}}$

Now, we have to find the price after making profit :

Given :

• Profit = $ 90
• Total cost = $ 2800

$\implies \sf Price\: after\: making\: profit =\: \ (2800 + 90)$

$\implies \sf Price\: after\: making\: profit\: =\: \ \: 2800 +\: \ \: 90$

$\implies \sf\bold{\green{Price\: after\: making\: profit =\: \ \: 2890}}$

Now, we have to find the money left to be gained :

Given :

• Price after making profit = $ 2890
• Total cost = $ 800

Then,

$\implies \sf Money\: left\: to\: be\: gained =\: \ (2890 - 800)$

$\implies \sf Money\: left\: to\: be\: gained =\: \ \: 2890 -\: \ \: 800$

$\implies \sf\bold{\orange{Money\: left\: to\: be \: gained =\: \ \: 2090}}$

Now, we have to find the total shirt left :

$\implies \sf Total\: shirt\: left\: =\: 16 - 5$

$\implies \sf\bold{\blue{Total\: shirt\: left =\: 11}}$

Finally, we have to find the sold price of remaining shirt :

Given :

• Money left to be gained = $ 2090
• Total shirt left = 11

According to the question :

$\dashrightarrow \sf S.P\: of\: remaining\: shirt =\: \dfrac{Money\: left\: to\: be\: gained}{Total\: shirt\: left}$

$\dashrightarrow \sf S.P\: of\: remaining\: shirt =\: \dfrac{\cancel{2090}}{\cancel{11}}$

$\dashrightarrow \sf\bold{\red{S.P\: of\: remaining\: shirt =\: \ \: 190}}$

$\therefore$ At $ 190 per shirt should he sell then the remaining shirt to make a profit of $ 90.