By selling a bicycle for 819 rupees, vinay loses 9%. at what price should he sell it to make a profit of 5%?
Answers
Answer:
Selling price of a bicycle (s.p) = Rs 819
Lose (l) = 9%
Let the cost price ( c.p) =Rs c
\boxed {c.p= \frac{s.p\times 100}{100-l}}
c.p=
100−l
s.p×100
\implies c.p = \frac{819\times 100}{100-9}⟹c.p=
100−9
819×100
\implies c.p = \frac{819\times 100}{91}⟹c.p=
91
819×100
\implies c.p = 9\times 100⟹c.p=9×100
\implies c.p = Rs900⟹c.p=Rs900
---(1)
ii) If Vinay wants sell it to make a profit 5%
Now ,
cost price (c.p) = Rs 900
gain (g) = 5%
selling price = s
\boxed {s.p =c.p\left(\frac{100+g}{100}\right)}
s.p=c.p(
100
100+g
)
\implies s = 900\times \frac{100+5}{100}⟹s=900×
100
100+5
\implies s = 9\times 105⟹s=9×105
\implies s = Rs\:945⟹s=Rs945
Therefore,
Vinay has to sell the bicycle at Rs 945 to make a profit of 5%
he have to sell for Rs 4095 for profit