Question

a dealer of scientific instruments allows 20% discount on the marked price of the instrument and still makes a profit of 25% if has gain over the sale of a instrument is ₹150 find the marked price of the instrument

Answer 1

profit is 25%=150
cost=150×100/25=600
discounted sales price=600+150=750937.5
marked price=750×100/80=

Answer 2

Answer:  Marked price of the instrument is Rs.937.50.

Step-by-step explanation:

Let the Cost price of instrument be 'x'.

Profit % = 25%

Discount % = 20%

Profit on sale of instrument = Rs. 150

According to question,

$Profit=\frac{Profit\%}{100}\times Cost\\\\150=\frac{25}{100}\times x\\\\x=\frac{150\times 100}{25}\\\\x=Rs.600$

As we know the formula :

$Marked=Cost\times \frac{100+Profit\%}{100-Discount\%}\\\\Marked=600\times \frac{100+25}{100-20}\\\\Marked=600\times \frac{125}{80}\\\\Marked=Rs.937.5$

Hence, Marked price of the instrument is Rs.937.50.