Question

A watch sold for ₹448 gives a profit of only 12%. find the profit % if the selling price had been ₹512.

Answer 1

Hii...
Here is your answer..

Solution:-
Let the Cp be x
Gain =12℅
SP= x + 12℅ of x
$= > x + 12\%of \: x = 448 \\ = > x + \frac{12}{100}x = 448 \\ = > \frac{100x + 12x}{100} = 448$
$= > \frac{112x}{100} = 448 \\ = > x = \frac{100 \times 448}{112} \\ = > x = 400$
Now,
Cost Price =400
Selling Price = 512

Since,CP<SP
It is a gain

So,
Gain=SP-CP
$= > 512 - 400 \\ = > 112$
And,
$gain\% = \frac{gain}{cp} \times 100 \\ = > \frac{112}{400} \times 100 \\ = > 28$
Hence,
The gain is 28℅

Hope it helps uh...✌️✌️✌️