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Friday, November 30, 2018

A man sells his typewriter at 5% loss. If he sells it for Rs.80 more, he will gain 5%.

A man sells his typewriter at 5% loss. If he sells it for Rs.80 more, he will gain 5%. The cost price of the type writer is
ARs.1600
BRs.1200
CRs.1000
DRs.800

Answer: (1) Rs.1600

Explanation:-
L the cost price of a type writer is Rs.X
Loss = 5 %

Then, the selling price of typewriter = \(X \times \frac{95}{100}\)
= \(\frac{19 X}{20}\)

Gain = 5 %
Then the selling price = \(X \times \frac{105}{100}\)
= \(\frac{21 X }{ 20}\)

Then,

 \(\frac{21 X }{ 20} – \frac{19 X}{20} = 80\)
\(\frac{( 21 X –  20 X ) }{ 20} = 80\)
\(X = 80 \times 20\)
\(X = Rs.1600\)

Then, the cost price of a typewriter is Rs.1600

Hence, the answer is (1) Rs.1600.

Nithin K
answered Apr 7 '2018 at 12:45

All Comments

\(\frac{105x}{100}-\frac{95x}{100}\)=80

\(\frac{10x}{100}\)=80

\(X=80×\frac{100}{10}\)

X=800 correct answer

 

 

Gurjant Singh Balsaab
answered Jun 10 '2018 at 12:41

All Comments

CP=X

LOSS =5%

GAIN=5%

SP=CP(100-LOSS)/100

95×/100=19×/20

SP=CP (100 +PROFIT)/100= X(100+5)/100= 105X/100 = 21X/100 

21X/20-19X/20=80

X=80×20=1600

Aryan bahuguna
answered Jun 6 '2020 at 21:10

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