Qstnid -A-15- A Man Sold A Radio-set For Rs.250 And Gained One-ninth Of Its Cost Price. Find ; (I) Its Cost Price; (Ii) The Profit Percent. (Ii) The Profit Percent. (I) Its Cost Price; (Ii) The Profit Percent. (Ii) The Profit Percent. - 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# A-15 Prvs-Qstn Next-Qstn

#15
A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find ; (i) its cost price; (ii) the profit percent. (ii) the profit percent. (i) its cost price; (ii) the profit percent. (ii) the profit percent.
Ans : (i) Let C.P. of the radio-set = Rs. x
Gain = Rs. x/9
S.P. = Rs. (x + x/9) = Rs.(9x + x)/9 = Rs. 10x/9
But, we are given S.P. of the radio-set = Rs. 250
∴ 10x/9 = 250
⇒ x = 250 × 9/10⇒ x = 25 × 9⇒ x = 225
∴ C.P. of the radio set = Rs.225 (ii) Profit = Rs. x/9
= Rs. 225/9 ...(Substituting the value of x)
= Rs. 25
Profit% = Profit/C.P. × 100
= 25/225 × 100
= (25 × 100)/225
= 100/9%
= 11 1/9% (ii) Profit = Rs. x/9
= Rs. 225/9 ...(Substituting the value of x)
= Rs. 25
Profit% = Profit/C.P. × 100
= 25/225 × 100
= (25 × 100)/225
= 100/9%
= 11 1/9% (i) Let C.P. of the radio-set = Rs. x
Gain = Rs. x/9
S.P. = Rs. (x + x/9) = Rs.(9x + x)/9 = Rs. 10x/9
But, we are given S.P. of the radio-set = Rs. 250
∴ 10x/9 = 250
⇒ x = 250 × 9/10⇒ x = 25 × 9⇒ x = 225
∴ C.P. of the radio set = Rs.225 (ii) Profit = Rs. x/9
= Rs. 225/9 ...(Substituting the value of x)
= Rs. 25
Profit% = Profit/C.P. × 100
= 25/225 × 100
= (25 × 100)/225
= 100/9%
= 11 1/9% (ii) Profit = Rs. x/9
= Rs. 225/9 ...(Substituting the value of x)
= Rs. 25
Profit% = Profit/C.P. × 100
= 25/225 × 100
= (25 × 100)/225
= 100/9%
= 11 1/9%

#15-i
its cost price; (ii) the profit percent.
Ans : Let C.P. of the radio-set = Rs. x
Gain = Rs. x/9
S.P. = Rs. (x + x/9) = Rs.(9x + x)/9 = Rs. 10x/9
But, we are given S.P. of the radio-set = Rs. 250
∴ 10x/9 = 250
⇒ x = 250 × 9/10⇒ x = 25 × 9⇒ x = 225
∴ C.P. of the radio set = Rs.225 (ii) Profit = Rs. x/9
= Rs. 225/9 ...(Substituting the value of x)
= Rs. 25
Profit% = Profit/C.P. × 100
= 25/225 × 100
= (25 × 100)/225
= 100/9%
= 11 1/9%

#15-ii
the profit percent.
Ans : Profit = Rs. x/9
= Rs. 225/9 ...(Substituting the value of x)
= Rs. 25
Profit% = Profit/C.P. × 100
= 25/225 × 100
= (25 × 100)/225
= 100/9%
= 11 1/9%