Question

If a watch is sold for rs.120 there is a loss of 15% for a profit of 2% the watch is to be sold for

Answer 1

let cp of watch is 100%
15% loss means sp is 85% and 2% gain means sp is 102%
a/q
85%=120
1%=120/85
102%=120×102/85=144

Answer 2

Selling price of the watch for a profit of 2% is Rs. 163.2

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

• Selling price of watch is Rs. 120

• Loss = 15%.

Loss percent = $\frac{Loss}{Cost \ price}$ × 100

Loss = 0.15x

• Loss = Cost price - selling price

0.15x = x - 120

120 = 0.75x

x = 160

• Cost price of the watch is Rs. 160.

• Now we have to find the selling price such that the seller gains a profit of 2%.

• Profit = 2% of cost price = 0.02 × 160 = 3.2

• Now the selling price will be = Cost price + profit

Selling price = 160 + 3.2 = Rs. 163.2

• Selling price of th watch for a profit of 2% is Rs. 163.2.