Question

A vendor bought oranges at 20 for 56 and sold them at 35 per dozen. Find his
gain or loss per cent.​

Answer 1

Step-by-step explanation:

Let the number of oranges bought = LCM of 20 and 12=60.

C.P. of 20 oranges = Rs.56

∴ C.P. of 1 orange = Rs.

20

56

Hence the C.P. of 60 oranges = Rs.(

20

56

×60)= Rs. 168

S.P. of 12 oranges = Rs. 35

∴ S.P. of 1 orange = Rs.

12

35

Hence, the S.P. of 60 oranges = (

12

35

×60)=Rs.175

Thus C.P. = Rs.168 and S.P. = Rs. 175

Since (S.P.) > (C.P.) the vendor has made a gain

Gain =(175−168)= Rs. 7

∴ Gain % = (

C.P.

Gain

×100)%=(

168

7

×100)%=

6

25

%

We can see that, p=25 and q=6

Thus, p−q=25−6=19