watch sold for? 448 gives a profit of only 12%. Find the profit % if t

1.	watch sold for? 448 gives a profit of only 12%. Find the profit % if the selling price had been512.
Answer» 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 + (x12)/100 = 448 Taking L.C.M. of the denominators and then solving it. ⇒ (100x + 12x)/100 = 448 ⇒ 112x = 448100 ⇒ 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 % = (Profit100)/Cost Price ⇒ (112100)/400 ⇒ 11200/400 ⇒ 28 % So, if the selling price of the watch is Rs. 512, then the profit is 28 %

watch sold for? 448 gives a profit of only 12%. Find the profit % if the selling price had been512.

Answer»

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 %