Qstnid -B-8- By Selling A Sofa-set For Rs.2,500; The Shopkeeper Loses 20%. Find His Loss Percent Or Profit Percent; If He Sells The Same Sofa-set For Rs.3150. - 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 3

Qstn# B-8 Prvs-Qstn Next-Qstn

#8
By selling a sofa-set for Rs.2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs.3150.
Ans : In the first condition:
S.P. of a Sofa-set = Rs. 2500
Loss = 20%
∴ C.P. = 100/(100 - Loss%) × S.P.
= 100/(100 - 20) × Rs. 2500
= Rs. 100/80 × 2500
= Rs. (100 × 2500)/80
= (5 × 2500)/4
= 5 × 625
= Rs. 3125
In the second condition:
S.P. of the sofa-set = Rs. 3150
C.P. of the sofa-set = Rs. 3125
Gain = S.P. - C.P.
= Rs. 3150 - Rs. 3125
= Rs. 25
Gain% = Gain/C.P. × 100
= 25/3125 × 100
= (25 × 100)/3125
= 100/125
= 4/5%
= 0.8%