ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 3
Qstn# A-14 Prvs-QstnNext-Qstn
  • #14
    A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find : (i) its cc price; (ii) the loss percent. (ii) the loss percent. (ii) the loss percent.
    Ans : (i) Let C.P. of the bicycle = Rs. x
    ∴ Loss = Rs. x/10
    S.P. = C.P. - Loss
    = x - x/10
    But, we are given S.P. = Rs. 405
    ∴ x - x/10 = 405
    ⇒ (10x - x)/10 = 405
    ⇒ 9x/10 = 405⇒ x = 405 × 10/9
    ⇒ x = 4050/9⇒ x = 450
    ∴ C.P. = Rs. 450 (ii) Loss = x/10
    = 450/10 ...(Substituting the value of x)
    = Rs. 45
    Loss % = Loss/C.P. × 100
    = 45/450 × 100
    = 4500/450 = 10 % (ii) Loss = x/10
    = 450/10 ...(Substituting the value of x)
    = Rs. 45
    Loss % = Loss/C.P. × 100
    = 45/450 × 100
    = 4500/450 = 10 % (ii) Loss = x/10
    = 450/10 ...(Substituting the value of x)
    = Rs. 45
    Loss % = Loss/C.P. × 100
    = 45/450 × 100
    = 4500/450 = 10 %
  • #14-i
    its cc price; (ii) the loss percent. (ii) the loss percent.
    Ans : Let C.P. of the bicycle = Rs. x
    ∴ Loss = Rs. x/10
    S.P. = C.P. - Loss
    = x - x/10
    But, we are given S.P. = Rs. 405
    ∴ x - x/10 = 405
    ⇒ (10x - x)/10 = 405
    ⇒ 9x/10 = 405⇒ x = 405 × 10/9
    ⇒ x = 4050/9⇒ x = 450
    ∴ C.P. = Rs. 450 (ii) Loss = x/10
    = 450/10 ...(Substituting the value of x)
    = Rs. 45
    Loss % = Loss/C.P. × 100
    = 45/450 × 100
    = 4500/450 = 10 % (ii) Loss = x/10
    = 450/10 ...(Substituting the value of x)
    = Rs. 45
    Loss % = Loss/C.P. × 100
    = 45/450 × 100
    = 4500/450 = 10 %
  • #14-ii
    the loss percent.
    Ans : Loss = x/10
    = 450/10 ...(Substituting the value of x)
    = Rs. 45
    Loss % = Loss/C.P. × 100
    = 45/450 × 100
    = 4500/450 = 10 %