Question

A fruit-seller sells 4 oranges for Rs.3, gaining 50%. Find : (i) C.P. of 4 oranges. (ii) C.P. of one orange. (iii) S.P. of one orange (iv) profit made by selling one orange (v) number of oranges need to be bought and sold in order to gain Rs.24.

Answer 1

S.P. of 4 oranges = Rs. 3
$\therefore$ S.P. of 1 orange = Rs. $\frac{3}{4}$, Gain = 50%
S.P. = $\frac{C.P.\times 150}{100}$
$\therefore$ C.P. of 1 orange = $\frac{100\times S.P}{(100+50)}$
= $\frac{100\times \frac{3}{4}}{150}=\frac{75}{150}=Re\frac{1}{2}$
(i) C.P. of 4 oranges = 4 $\times \frac{1}{2}$ = Rs. 2
(ii) C.P. of 1 orange = Rs. $\frac{1}{2}$ = Rs. (0.50)
(iii) S.P. of 1 orange = Rs. $\frac{3}{4}$ = Rs. 0.75
(iv) Profit made by selling one orange
= Rs. $\frac{3}{4}-Rs.\frac{1}{2}$ = Rs. $\frac{1}{4}$ = Rs. 0.25
(v) If gain is Rs. $\frac{1}{4}$, number of oranges = 1