11. The profit earned by selling a watch for Rs. 820 is as much as
the loss incurred when it is sold for Rs. 650. What is the cost price
of the watch?
1) Rs. 735
2) Rs.750 3) Rs. 800
4) Rs. 690
Answers
Step-by-step explanation:
Let the CP be y
Profit% = profit /cp ×100
profit %= 820 - y /y X 100.... (1)
Loss % = loss / cp X 100
loss% = y - 650 / y X 100.....(2)
by solving equation 1 and 2
2 y = 820 + 650 => y = 1470 / 2 = 735
Therefore cp = Rs 735
Given:
The profit earned by selling a watch for Rs 820 is the same as the loss that occurred by selling the same watch at a selling price of Rs 650.
To Find:
The cost price of the watch is?
To Find:
The given problem can be solved by using simple algebra.
1. Let the cost price of the watch be Rs x.
2. The Profit earned is calculated as,
=> Selling price = Cost price + profit,
=> 820 = x + profit,
=> Profit = 820 - x.
3. The loss earned is calculated as,
=> Selling price = Cost price - loss,
=> 650 = x - loss,
=> loss = x - 650.
4. As profit is equal to loss, the two equations can be equated as,
=> 820 - x = x - 650,
=> 820 + 650 - x = x,
=> 1470 = x + x,
=> 1470 = 2x,
=> 1470/2 = x,
=> x = 735.
5. Cost Price of the watch is Rs 735.
Therefore, the cost price of the watch is Rs 735.