If John sells his bicycle for Rs. $$1,274$$, he will suffer a loss of $$9$$%. For how much should it be sold, if he desires a profit of $$5$$% ?
Correct option is A. Rs$$1,470$$
$$\Rightarrow$$ Selling price of bicycle is Rs.$$1,274$$.
$$\Rightarrow$$ John loose $$9\%$$ on bicycle.
$$\Rightarrow$$ $$C.P.=\dfrac{100}{100-Loss\%}\times S.P.$$
$$\Rightarrow$$ Cost price of bicycle = $$\dfrac{100}{100-9}\times 1274=$$Rs.$$1,400$$
$$\Rightarrow$$ Cost price of bicycle to get $$5\%$$ profit = $$\dfrac{5}{100}\times 1400+1400=70+1400=$$Rs.$$1470$$