The marked price of an electric heater is Rs. 600. The shopkeeper allows a discount of 15% and gains 20%. If no discount is allowed, his gain per cent would be |
A) \[42\frac{4}{5}\]%
B) \[25\frac{1}{12}\]%
C) \[39\frac{2}{15}\]%
D) \[41\frac{3}{17}\]%
Correct Answer: D
Solution :
\[MP=600,\] discount \[(d)=15\]% |
\[\text{SP}=85%\] of \[600=\frac{85}{100}\times 600=\text{Rs}\text{. 510}\] |
\[\text{SP}=\text{Rs}.\,\,510\] and \[\text{gain}%=20\]% |
\[\text{CP}=\frac{100}{120}\times 510=\text{Rs}\text{. 425}\] |
\[\text{CP}=425,\]\[\text{MP}=600\] |
Gain% = \[\frac{175}{425}\,\times \,100\,=\,\frac{700}{17}\]% = \[41\frac{3}{17}\]% |
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