Qstnid -C-7- 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. - 08: Profit, Loss And Discount Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 4

Qstn# C-7 Prvs-Qstn Next-Qstn

#7
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.
Ans : C.P. of the rice = Rs. 4500
Profit desired on the whole = 12%
∴ S.P. of the whole rice = (100 + gain%)/100 × C.P.
= (100 + 12)/100 × Rs. 4500
= Rs. 112/100 × 4500
= 112 × 45
= Rs. 5040
C.P. of 1/3 of rice = 1/3 × Rs. 4500
= Rs. 1500
Since, gain on 1/3 of rice = 10%
∴ S.P. on it = (100 + gain%)/100 × C.P.
= (100 + 10)/100 × Rs. 1500
= Rs. 110/100 × 1500
= 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 = 390/3000 × 100
= (390 × 100)/3000
= 13% (i) ∴ S.P. of the rest of the Price = Rs. 3390 (ii) % Profit on the rest of the rice = 13%

#7-i
the selling price of the rest of the rice ;
Ans : ∴ S.P. of the rest of the Price = Rs. 3390

#7-ii
the percentage profit on the rest of the rice.
Ans : % Profit on the rest of the rice = 13%