Question

A loss of 20 percent was suffered by selling a watch for rs 560 if it was sold for rs 805 what was the profit percent​

Answer 1

To find the cost price of the watch

selling price = 560

20/100*560= 11200

11200/100

112

560 +112 = 672

cp = 672

sp= 805

so to find gain percent

gain = 805-672

gain =133

gain %=gain/cp*100

133/672 * 100

19.7916%

Answer 2

The profit percent is 15%

Given : A loss of 20 percent was suffered by selling a watch for Rs. 560.

To find : The profit percent, if the watch was sold for Rs. 805

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required profit percent)

First of all, we have calculate the cost price of the watch.

Let, the cost price of watch = Rs. x

20% loss on the cost price :

= x × 20%

= x × (20/100)

= Rs. x/5

Selling price at 20% loss :

= Cost price - 20% loss amount

= x - (x/5)

= (5x-x)/5

= Rs. 4x/5

According to the data mentioned in the question,

4x/5 = 560

x = 560 × 5/4

x = 700

Cost price of the watch = Rs. x = Rs. 700

New selling price = Rs. 805

Profit amount w.r.t new selling price :

= New selling price - Cost price

= 805 - 700

= Rs. 105

Profit percentage :

= 100 × (profit amount / selling price)

= 100 × (105/700)

= 15%

(This will be considered as the final result.)

Hence, the profit percent is 15%