Question

10. An item is sold for 25500 at a profit of 50%. Find the cost price of the item​

Answer 1

Answer:

12750 is the cost price of the item

Answer 2

$\huge\boxed{\fcolorbox{cyan}{pink}{Answer}}$

Question:-

★An item is sold for 25500 at a profit of 50%. Find the cost price of the item.

Given:-

★Selling of the item is ₹25,500 and the profit gained by selling it is 50%

To find :-

★Cost price of the item

Solution:-

The selling price of the item = ₹25,500

By selling it he gains the profit = 50%

To find the cost price of the item apply the formula mentioned below

Cost price = $\frac{Selling Price × 100}{100+Profit\:Percentage}$

So,

Cost Price of the item = $\frac{Selling Price × 100}{100+Profit\:Percentage}$

= $\frac{25500 × 100}{100+50}$

= $\frac{2550000}{100+50}$

= $\frac{2550000}{150}$

= ₹ 17,000

$\huge\boxed{\fcolorbox{cyan}{pink}{Extra Formulas}}$

☙Gain % = $\frac{Gain×100}{CP}$

☙Loss % = $\frac{Loss×100}{CP}$

☙SP = $\frac{100 + Gain\: Percentage×CP}{100}$

☙SP = $\frac{100 – Loss\: Percentage×CP}{100}$

☙CP = $\frac{100×SP}{100 + Gain\: Percentage}$

☙CP = $\frac{100×SP}{100 – Loss\: Percentage}$

$\huge\boxed{\fcolorbox{cyan}{pink}{Extra Information}}$

☙Selling Price :- The amount taken by the owner of the item after selling that item to another person is known as selling price.

☙Cost Price :- The amount given by the buyer to the owner to purchase that item is known as cost price.

☙Profit/Gain :- The benefit earned by selling the item is known as profit/gain.

☙Loss :- The amount losed by selling an item at low cost is known as loss.

━─━─━─━─━──━─━─━─━─━─━─━━─━─━─━─━──