Question

An article was sold for Tsh 120000 after a loss of 20% of the cost price. What was the cost price?

Answer 1

hope it helps u.......

Answer 2

Given :-

• Selling Price of Article = Rs 120000
• Loss % = 20%

To Find :-

• Cost Price of Article

Formula :-

${\underline{\boxed{\mathcal{\pmb{\quad C.P \: = \: \dfrac{S.P \: \times \: 100}{100 \: - \: Loss\%} \quad}}}}}$

Solution :-

$\qquad \quad {:} \longrightarrow \sf{\sf C.P \: = \: \dfrac{S.P \: \times \: 100}{100 \: - \: Loss\%} } \\ \\ \qquad \quad {:} \longrightarrow \sf{\sf C.P \: = \: \dfrac{120000 \: \times \: 100}{100 \: - \: 20} } \\ \\ \qquad \quad {:} \longrightarrow \sf{\sf C.P \: = \: \dfrac{12000000}{80} } \\ \\ \qquad \quad {:} \longrightarrow \sf{\sf C.P \: = \: \dfrac{1200000 \cancel0}{8 \cancel0} } \\ \\ \qquad \quad {:} \longrightarrow \sf{\sf C.P \: = \: \cancel\dfrac{1200000}{8} } \\ \\ \qquad \quad {:} \longrightarrow \sf \boxed{\sf C.P \: = \: 150000 } \: \red \bigstar$

$\qquad{\underline{\underline{\green {\pmb{\quad Thus \: Cost \: Price \: of \: Article \: is \: \: \blue{Rs \: 150000} \quad}}}}}$

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★ Additional Info :

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