Question

A man bought three different items at a total price of Rs. 2400. If he sold 2 of them at a profit of 20%, and by selling the third item at Rs. 1000, he made an overall profit of 25%. Find the cost price of the third item.​

Answer 1

Answer:952.380952681

Step-by-step explanation:

cp of 3 item=rs.2400

sp of 2 item=20% profit

sp of 3rd item=rs.1000,5% profit

cp=(100/100+gain%)*sp

cp=(100/100+5)*1000=952.380952381

Answer 2

$CP_3\approx Rs.\ 733.33$ is the selling prize of the third item.

Step-by-step explanation:

• The cost price of 3 items, $CP=Rs.\ 2400$

• Profit on selling of 2 items, $P_2=20\%$

• Let the cost price of the 2 items be, $x$

• Selling price of the 3rd item, $SP_3=Rs.\ 1000$

• Overall profit, $P=25\%$

Now the total selling price:

$SP=SP_3+120\%\ of\ x$

$SP=(1000+1.2\times x)$

Therefore total profit:

$P=SP-CP$

$25\%\ of\ 2400=1000+1.2\times x-2400$

$x\approx Rs.\ 1666.67$

Therefore the cost price of the third item:

$CP_3=CP-x$

$CP_3=2400-1666.67$

$CP_3\approx Rs.\ 733.33$

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TOPIC: profit loss

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