Question

A dealer of scientific instruments allows 20% discount on the Marked price of the instruments and still makes a profit of 25%. If his gain over the sale of an instrument is Rs 150,find the marked price of the instrument. ​

Answer 1

SoLuTiOn :

We have,

$\sf \bullet \: Gain\% = 25$

$\sf \bullet \: Gain =Rs \: 150$

$\large \boxed{ \purple{ \sf \: Gain\% = \frac{Gain}{C.P.} \times 100}}$

$\rightarrow \sf25 = \dfrac{150}{C.P} \times 100$

$\rightarrow \sf C.P.= ( \dfrac{150 \times 100}{25} )$

$\large\boxed{ \tt C.P.= Rs \: 600}$

Let's find the Selling Price now :

$\large \boxed{ \purple{ \sf \: S.P. = \dfrac{100 + Gain}{100} \times C.P }}$

$\rightarrow \sf (\dfrac{100 + 25}{100} \times 600)$

$\large \boxed{\tt \: S.P.= Rs \: 750}$

Let's find the Marked Price now :

$\large \boxed{ \purple{ \sf \: M. P. = \dfrac{100 \times S. P. }{100 - Discount} }}$

$\rightarrow \sf \dfrac{100 \times 750}{100 - 20}$

$\rightarrow \sf \cancel \dfrac{75000}{80}$

$\large \boxed{ \tt \: M. P. = Rs \: 937.5 }$

Answer 2

Answer : ₹ 937.50

$\rule{100}2$

Given :

• Discount on scientific instruments = 20%
• Profit = 25%
• Gain over the sale of an instrument = ₹ 150

To Find :

• Market price

Formulae used :

• Profit % = Profit/CP  × 100
• S.P = C.P + Profit
• MP = ( SP ×100 )/( 100-D% )

SolUtion :

By using the above formula of profit% ,

we get,

$\sf 25 = 150/CP \times 100$

$\sf CP = 150\times 100 \times 1/25$

$\sf CP = 6 \times 100$

$\sf CP = 600$

Now,

↬S.P = ₹ 600 + 150

    = ₹ 750

Finally,

Use the formula of MP ( written above )

we get,

$\sf MP = (750\times 100) ÷ ( 100 - 20)$

$\sf MP = 75000 ÷ 80$

$\sf MP = 937.50$

Hence, Marked price of the instrument is ₹ 937.50.

$\rule{200}2$