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:

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Answer 2

Step-by-step explanation:

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,

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

Thus, We have

Gain% = 25 and CP = Rs. 600

Now,

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

Thus, We have

SP = Rs. 750 and Discount % = 20

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

Hence, Marked price of the instrument is Rs. 937.50