Finding Cost Price
Finding Cost Price
To Find Cost Price when Profit/Loss percent is given: The procedure to find the cost price when profit/loss % is given is as follows:
Step I: We will assume the Cost Price to be x.
Step II: Then we find the Profit/Loss on the cost price
Strep III: We will equate the equation with the given Selling Price.
Step IV: We will solve for x.
Selling Price = Cost Price + Profit
Selling Price = Cost Price- Loss
Illustration 1: Mrs Rohana sold a dress for Rs 495 thus making a profit of 10%. Find the cost price of the dress and the profit ?
Solution: Let the Cost Price of the dress = x Rs.
Profit % = 10%
Profit = 10 % of x
Selling Price = Cost Price + Profit
4950 = 11x
x = Rs. 450
Hence, Cost price = Rs 450
Now, as we know that
Profit = Selling Price - Cost Price
Profit = 495 - 450
= Rs 45
Illustration 2: A man purchases two fans for Rs 2160. By selling one fan at a profit of 15 % and the other at a loss of 9 % he neither gains nor loses in the whole transaction. Find the cost price of each fan.
Solution: Let the C.P. of the first fant be Rs x. Then,
C.P. of the second fan = Rs(2160 - x)
As it is given that in the whole transaction, the man neither gains nor loses.
Gain on the sale of first fan = Loss in the sale of second fan
Dividing both sides by 3
So, C.P. of first fan = Rs 810
C.P. of second fan = Rs(2160 - x) = Rs (2160 - 810)
= Rs 1350
_____________ is the price at which the article is purchased. | |||
| Right Option : B | |||
| View Explanation | |||
A second hand car was sold for Rs 190000, at a loss of Rs 85. Find the CP of the car. | |||
| Right Option : C | |||
| View Explanation | |||
A bicycle is sold at a gain of 12% had it been sold for Rs 100 more , the gain would have been 20% then C.P of the bicycle is? | |||
| Right Option : A | |||
| View Explanation | |||
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