A shopkeeper marks his goods at such a price that after allowing a discount of 12.5 % on the marked price, he still earns a profit of 10%. The marked price of an article which costs him Rs. 4900 is -
A shopkeeper marks his goods at such a price that after allowing a discount of 12.5 % on the marked price, he still earns a profit of 10%. The marked price of an article which costs him Rs. 4900 is -
ARs. 5390
BRs. 5490
CRs. 6160
DRs. 6260
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Correct answer is: Rs. 6160
Explanation:
\(\eqalign{ & {\text{C}}{\text{.P}}{\text{. = Rs}}{\text{. 4900}}{\text{.}} \cr & {\text{S}}{\text{.P}}{\text{. = 110}}\% {\text{ of Rs}}{\text{.4900}} \cr & {\text{ = Rs}}{\text{.}}\left( {\frac{{110}}{{100}} \times 4900} \right) \cr & = {\text{Rs}}{\text{. 5390}}{\text{.}} \cr & {\text{Let marked price be Rs}}{\text{.}}x \cr & {\text{Then,}} \cr & {\text{ = 87}}\frac{1}{2}\% {\text{ of }}x{\text{ = 5390}} \cr & \Rightarrow \left( {\frac{{175}}{2} \times \frac{1}{{100}} \times x} \right) = 5390 \cr & \Rightarrow x = \left( {\frac{{5390 \times 8}}{7}} \right) = 6160 \cr & \therefore {\text{Marked price}} = {\text{Rs}}{\text{.6160}} \cr}\)
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