Question

Raju sold a bicycle to amit at 8 % profit. Amit repaired it spending ₹ 54 . Then he sold the bicycle to nikhil for ₹ 1134 with no loss and no profit . Find the cost price of the bicycle for which raju purchased it

Answer 1

Answer:

1000 Rs

Step-by-step explanation:

It is given that Amit repaired the bike for 54 Rs then sold it with no loss and no profit at a price of 1134.

Therefore, Amit purchased the bike from Raju for 1134-54 = 1080 Rs.

It is also given that Raju sells the bike to Amit at 8% profit.

Therefore, Raju purchased the bike for:

$\frac{1080}{1.08}=1000\:Rs$

Answer 2

Answer: Cost price of bicycle 1000 Rs

Solution:

Let the cost price of bicycle is x when Raju purchased it.

S.P. of bicycle =

$x + \frac{8x}{100} \\ \\ = \frac{108x}{100} \\ \\ S.P. = \frac{54x}{50} = \frac{27x}{25}$

C.P.of bicycle to Amit = 27x/25

S.P. of bicycle after repair =
$\frac{27x}{25} + 54 \\ \\ = \frac{1350 + 27x}{25}$
Since he sold with no profit no loss to Nikhil at 1134

So

$\frac{1350 + 27x}{25} = 1134 \\ \\ 1350 + 27x = 28350 \\ \\ 27x = 27000 \\ \\ x = 1000 \: Rs$

Hope it helps you.