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

Answer:

rs. 3000

Explanation:

first understand that 150 is that 25% profit, 25% of selling (discounted) price. so selling price is 150÷25% = 600rs.

now selling price is 600, which is the instrument cost 600 AFTER 20% discount.

which means 600 is 20 pieces of that amount so divide 600 with 20 = 30.

now 30 ×100 = 3000rs.

(basically 600÷0.20=3000)

now let's reverse check everything.

selling price is 3000, 3000 - 20% = 2400 which means that 20% is 600rs. now 2400 include a total gain of 150rs which means cost price is 2400-150 = 2250.

and a profit of 150 on it means the instrument was finally sold at 2400, and the marked price (the price at which it was supposed to be sold without a discount; price tag) was rs. 3000.

(hope my answer was helpful to you, if so, please mark me the brainliest!!!)

Answer 2

Given:-

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 an instrument is Rs. 150

To Find:-

Marked price of the instrument.

Solution:-

As we know that

→ Gain = Gain% of CP

So,

$\begin{gathered} \clubs \rm Gain = Gain\% \: of \: CP \\ \longrightarrow \rm \: 150 = \frac{25}{100}\: of \: CP\\ \rm\longrightarrow \: CP = \frac{100 \times \cancel{150}}{ \cancel{25} }\\\longrightarrow \rm \: \color{aqua} CP = 600\end{gathered}$

Thus, We have

Gain% = 25 and CP = Rs. 600

Now,

$\begin{gathered} \rm \: SP = \frac{(100 + gain\%)}{100} \times CP \\ \leadsto \rm \: SP = \bigg( \frac{100 + 25}{100} \times 600 \bigg) \\ \rm \leadsto \: SP = \frac{125}{1 \cancel{00} } \times 6 \cancel{00} \\ \rm \color{navy}SP = 750\end{gathered} </p><p>$

Thus, We have

SP = Rs. 750 and Discount % = 20

$\begin{gathered} \therefore \rm MP = \frac{100 \times SP}{(100 - discount\%)} \\ \looparrowright \rm \: MP = \frac{100 \times 750}{100 - 20 } \\ \looparrowright \rm \: \bigg( \frac{75000}{80} \bigg) \\ \looparrowright \rm \: 937.50\end{gathered}$

Hence, Marked price of the instrument is Rs. 937.50