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
All DiscussionsClick here to write answer
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.
All Comments
Post your answers here:
Post