Question

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

Answer 1

Solution :-

Selling price of the watch = Rs. 448

Profit earned = 12 %

Cost price = ?

Let the cost price of the watch be Rs. 'x'

Then according to the question.

⇒ x/1 + (x*12)/100 = 448

Taking L.C.M. of the denominators and then solving it.

⇒ (100x + 12x)/100 = 448

⇒ 112x = 448*100

⇒ x = 44800/112

⇒ x = Rs. 400 

So, the cost price of the watch is Rs. 400

Now, we have to find the profit % if the selling price is Rs. 512

Selling price - Cost price = Profit

Profit = 512 - 400

Profit = Rs. 112

Profit % = (Profit*100)/Cost Price

⇒ (112*100)/400

⇒ 11200/400

⇒ 28 %

So, if the selling price of the watch is Rs. 512, then the profit is 28 %

Answer. 

Answer 2

c. p. of watch=448

profit=12%

c. p. = (100/112) ×448

=400

s. p. 512-400=112

profit%= (112/400) ×100

= 28%