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Answers
Answer:
G I V E N :
Abha bought 2 calculators at Rs 900. She sold one at profit of 20% and other at a loss of 20%. If the SP of both calculator was same, then find the CP of each calculator.
S O L U T I O N :
Let us assume the Cost Price of the Calculator be a
As the cost of both the calculators is ₹900
Thereby, Cost of the other calculator be 900 - a
Here, we will assume 100% as a point like zero
Now, as the first calculator suffered a loss of 20%
So, it should be 100% - 20% = 80%
\begin{gathered} \sf Selling \: Price \: of \: the \: calculator = \frak{a \times 80\%} \\ \\ \sf Selling \: Price = \frak{a \times \frac{80}{100} } \implies {\frak{ \frac{80}{100}a}} \implies \frak{ \green{ \frac{8}{10}a }}\end{gathered}
SellingPriceofthecalculator=a×80%
SellingPrice=a×
100
80
⟹
100
80
a⟹
10
8
a
Now, for the another calculator
It gained a profit of 20%
\begin{gathered} \sf Selling \: Price \: of \: another \: calculator = \frak{a \times 120\%} \\ \\ \sf Selling \: Price = \frak{a \times \frac{120}{100} } \implies {\frak{ \frac{120}{100}a}} \implies \frak{ \purple{\frac{12}{10}(900 - a)}}\end{gathered}
SellingPriceofanothercalculator=a×120%
SellingPrice=a×
100
120
⟹
100
120
a⟹
10
12
(900−a)
Now, a clue is provided that Selling Price of both the calculator are same
\begin{gathered} \sf Selling \: Price \: of \: first \: calculator = Selling \: Price \: of \: the \: other \: one \\ \\ \rightharpoonup\frak{ \frac{8}{10}a = \frac{12}{10}(900 - a)} \\ \\ \rightharpoonup \frak{ \frac{8}{10}a \times \frac{10}{12} = 900 - a } \\ \\ \rightharpoonup \frak{ \frac{8}{12}a = 900 - a } \\ \\ \rightharpoonup \frak{ \frac{2}{3}a = 900 - a } \\ \\ \rightharpoonup\frak{2a = 3(900 - a)} \\ \\ \rightharpoonup\frak{2a = 2700 - 3a} \\ \\ \rightharpoonup\frak{5a = 2700} \\ \\ \rightharpoonup\frak{a = \frac{2700}{5} } \\ \\ \rightharpoonup\frak{a = \cancel\frac{2700}{5} } \\ \\ \star \quad \underline{ \boxed{ \frak{a = 540}}}\end{gathered}
SellingPriceoffirstcalculator=SellingPriceoftheotherone
⇀
10
8
a=
10
12
(900−a)
Explanation:
G00GLE KRLO
Answer:
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