Question

O selling a moble for rupees 1600 a persn
looss 20% then the cost prce is
A. 32,400
B. $2,200
C. 2,000
D. 31,800​

Answer 1

Correct Question :-

• On selling a mobile for rupees 1600 a person losses 20 person then the course prices is ?

A N S W E R :

$\large{\rm{C.~2,000}}$ Option is Correct.

Given :-

• S.P = Rs. 1600
• Loss% = 20%

To find :-

• Find C.P = ?

★ We know that,

$\large\red\star$C.P = ${\sf{100}{100 \: - \: Loss%}} × S.P}}$$\large\red\star$

Solution :-

:$\implies$C.P = ${\sf{ \frac{100}{100 - 20}} × 1600}}$

$~~~~~$:$\implies$C.P = ${\sf{\frac{100}{80}} \times \: 1600}}$

$~~~~~~~~~~$:$\implies$C.P = 100 × 20

$~~~~~~~~~~~~~~~$:$\implies$$\large{\underline{\boxed{\pink{\frak{C.P~=~Rs.~2000}}}}}$

$\large\dag$ Hence,

• The cost price is $\large{\rm{Rs.~2000}}$$\large{\bf\green{✓}}$

_______________________________

${\large{\underline{\frak{\pmb{Additional \: Information}}}}}$

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

Answer 2

given :-

S. P = Rs 1600

Loss 10 = 20%

To calculate

C. P = ?

calculation

As we know that,

$c.p \: = \frac{100}{100 - loss\%} \times s.p \\ ⇒c.p= \frac{100}{100 - 20} \times 1600 \\ ⇒c.p \ \: = \frac{100}{80} \times 1600$

⇒C.P =100 ×20

Therefore the cost price is Rs 2000 and

option C is correct ✅