A watch is offered for sale at rs. 115 and if that price is reduced by 5 % the dealer who is selling it will make 9. 1/4% profit how much did the watch cost him
Answers
Answer:
Rs119.36
offered price = 115
price reduced by 5%
new price is
115 - 115×5%
115- 5.75
cost price = rs 109.25
profit = 9.25%
selling price = [(100+ profit%)/100 ×CP]
(100+ 9.25)/100 × 109.25
rs 119.36
The dealer bought the watch at ₹109.25 and sold it at ₹119.36 to get a profit of 9.25%.
Given:
The cost price of a watch on sale is ₹115. If the price is reduced by 5%, the dealer who is selling it will make a 9.25% profit.
To Find:
At what price did the dealer buy that watch from the sale.
Solution:
Things that are given;
The offered price of the watch is ₹115
Price reduction is by 5%
Therefore,
The new price of the watch becomes,
₹(115 - (115×5)%)
= ₹(115- 5.75)
= ₹109.25
Thus the new cost price becomes,
C.P = ₹109.25
Now, the dealer made a profit of 9.25%.
Thus the profit that the dealer get from the watch is,
p = ₹(109.25×9.25%)
=₹10.1056
≈₹10.11
Therefore, the selling price,
S.P = [C.P + p]
= ₹[109.25 + 10.11]
= ₹119.36
The dealer bought the watch at ₹109.25 and sold it at ₹119.36 to get a profit of 9.25%.
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