Question

A shop-keeper bought rice worth Rs.4,500. He sold one-third of it at 10% profit.
If he desires a profit of 12% on the whole; find :
(i) the selling price of the rest of the rice ;
(ii) the percentage profit on the rest of the rice.

Answer 1

C.P. of the rice = Rs.4500

Profit desired on the whole = 12%

∴ S.P. of the whole rice =`((100+"gain"%))/100xx"C.P."`

`=((100+12))/100xx"Rs."4500`

= Rs. `112/100xx4500`

= 112 × 45 = Rs.5040

C.P. of `1/3` of rice =`1/3xx"Rs. "4500`

= Rs. 1500

Since gain on `1/3` of rice = 10%

∴ S.P. on it =`((100+"gain"%)/100)xx"C.P."`

`=(100+10)/100xx"Rs."1500`

= Rs.`110/100xx1500`

= 11 × 150 = Rs.1650

Remaining C.P. of the rice

= Rs.4500 − Rs.1500 = Rs,.3000

Remaining S.P. of the rice

= Rs.5040 − Rs.1650 = Rs.3390

Profit on the remaining rice

= Rs.3390 − Rs.3000 = Rs.390

Gain % on the remaining rice =`390/3000xx100`

`=(390xx100)/3000=13%`

∴ (i) S.P. of the rest of the price = Rs.3390

(ii) % profit on the rest of the rice = 13%