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A man sold his watch at a loss of 5%. Had he sold It for Rs.56.25 more, hewould havegained 10%. What Is the cost price of the watch (In Rs.)

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A man sold his watch at a loss of 5%. Had he sold It for Rs.56.25 more, hewould havegained 10%. What Is the cost price of the watch (In Rs.)
1). 370
2). 365
3). 375
4). 390

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2 answers

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Answered by on | Votes 0 |
Right Answer for this question is 365

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C.P of watch = x Rs.,(let) $\therefore$ S.P. of watch =$\frac{x\times 95}{100}=$ $\frac{19x}{20} Rs.$ Case II, S.P.=$ (\frac{19x}{20}+56.25)$ Profit percent = 10 % $\therefore \frac{x\times 110}{100}=\frac{19x}{20}+56.25$ $\Rightarrow \frac{11x}{10}-\frac{19x}{20}=56.25$ $\Rightarrow \frac{22x-19x}{20}=56.25$ $\Rightarrow \frac{3x}{20}=56.25$ $\Rightarrow 3x=56.25\times 20$ $\Rightarrow x=\frac{56.25\times 20}{3}=375 Rs.$




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