Sonika sells two jewellery boxes for 1400 each on one she earns a profit of 10% and on the other suffered a loss of 10% find her overall profit or loss percent
Answers
Find total selling Price:
one box = Rs 1400
two boxes = 1400 x 2 = Rs 2800
Find the cost price of the first box:
Profit = 10%
Selling Price = 100 + 10 = 110%
110% = Rs 1400
1% = 1400 ÷ 110 = 140/11
100% = 140/11 x 100 = Rs 14000/11
Find the cost price of the second box:
Loss = 10%
Selling Price = 100 - 10 = 90%
90% = Rs 1400
1% = 1400 ÷ 90
100% = 140/9 x 100 = Rs 14000/9
Find the total cost price:
Total cost price = Rs 14000/11 + Rs 14000/9 = Rs 2828.28
Find the profit:
Profit = 2828.28 - 2800 = Rs 28.28
Find the profit percentage:
Profit Percentage = 28.28/2800 x 100 = 1%
Answer: The profit of the 2 article is 1%
The price of one box is Rs 1400.
The cost of two boxes will be Rs 2800.
The cost price of first box is calculated below.
Profit = 10%
Selling Price = 100 + 10 = 110%
110% = Rs 1400
1% = 1400 ÷ 110 = 140/11
100% = 140/11 x 100 = Rs 14000/11
Find the cost price of the second box:
Loss = 10%
Selling Price = 100 - 10 = 90%
90% = Rs 1400
1% = 1400 ÷ 90
100% = 140/9 x 100 = Rs 14000/9
The total cost is Rs 2828.28
Profit = 2828.28 - 2800 = Rs 28.28
Profit Percentage = 28.28/2800 x 100 = 1%