: I purchased two items for ₹ 7,23,450 and sold 1st item for ₹ 723 and second item for ₹ 450. So I had
neither loss nor profit. Do you agree? If not, find profit or los
Answers
Step-by-step explanation:
Given:
A shopkeeper bought two items at 450 each
He sold one item at 10% loss
To find:
At what price should he sell the other as to gain 20% on the whole transaction?
Solution:
Let "x" represents the selling price of the other item.
The total cost price of the two items = Rs. 450 × 2 = Rs. 900
We will use the following formula:
\begin{gathered}\boxed{\bold{S.P. = \frac{100 - L\%}{100}\times C.P. }}\\\\\boxed{\bold{S.P. = \frac{100 + G\%}{100}\times C.P. }}\end{gathered}
S.P.=
100
100−L% ×C.P.
S.P.= 100
100+G% ×C.P.
Using the above formula, we get,
∴ The S.P. of the first item is,
= \frac{100 - 10}{100} \times 450
100
100−10
×450
= \frac{90}{100}\times 450
100
90
×450
= 0.9\times 4500.9×450
= Rs.\:405Rs.405
and
∴ The total S.P. of the two items is,
= \frac{100 + 20}{100} \times 900
100
100+20
×900
= \frac{120}{100}\times 900
100
120
×900
= 1.2\times 9001.2×900
= Rs.\:1080Rs.1080
Now,
The S.P. of the other item should be,
= [Total S.P. of the two items] - [S.P. of the first item]
= [Rs. 1080] - [Rs. 405]
= Rs. 675
Thus, the shopkeeper should sell the other at Rs. 675 so as to gain 29% on the whole transaction.
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