Question

Suresh bought two shirts for ₹500. One of them he sold at 12% lost and other he sold at 8% gain.Thus,Suresh has no gain no loss. Find the cost price of each shirt.​

Answer 1

Step-by-step explanation:

Please mark it as brainliest!!!

Answer 2

➤ Given :-

Selling price of each shirt :- ₹500

Loss of first shirt :- 12%

Gain of second shirt :- 8%

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➤ To Find :-

The cost price of each shirt.

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➤ Formula required :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 + Gain \bf\%)} \times SP}}}}$

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★ How to do :-

Here, we are given with the selling price and the gain percentage and the loss percentage obtained for two shirts when they were sold. The selling price of both shirts is same i.e, ₹500. The loss percentage obtained on first shirt is 12% and the gain per entage obtained on the second shirt is 8%. To find the cost price, the formula given above can be used. The obtained answer will be the cost price of that item. So, first we should solve the bracket given in the denominator because the BODMAS rue says they we should solve the brackets first. So, let's solve!!

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➤ Solution :-

Cost price of first shirt :-

${\tt \leadsto \dfrac{100}{100 - 12)} \times 500}$

${\tt \leadsto \dfrac{100}{88} \times 500}$

${\tt \dfrac{100}{\cancel{88}} \times \cancel{500} = \dfrac{100}{22} \times 125}$

${\tt \leadsto \dfrac{100 \times 125}{22} = \dfrac{12500}{22}}$

${\tt \leadsto \cancel \dfrac{12500}{22} = \boxed{\tt Rs \: \: 568.18}}$

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Cost price of second shirt :-

${\tt \leadsto \dfrac{100}{(100 + 8)} \times 500}$

${\tt \leadsto \dfrac{100}{108} \times 500}$

${\tt \leadsto \dfrac{100}{\cancel{108}}\times \cancel{500} = \dfrac{100}{27} \times 125}$

${\tt \leadsto \dfrac{100 \times 125}{27} = \dfrac{12500}{27}}$

${\tt \leadsto \cancel \dfrac{12500}{27} = \boxed{\tt Rs \: \: 462.96}}$

$\Huge\therefore$ The cost price of first shirt is ₹568.18 and for the second shirt is ₹462.96.

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$\dashrightarrow$ Some related formulas :-

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \end{array}}$