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ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 4
Qstn# B-11 Prvs-QstnNext-Qstn
  • #11
    Rajesh sold his scooter to Rahim at 8% loss and Rahim, in turn, sold the same scooter to Prem at 5% gain. If Prem paid Rs. 14,490 for the scooter ; find : (i) the S.P. and the C.P. of the scooter for Rahim (ii) the S.P. and the C.P. of the scooter for Rajesh (i) the S.P. and the C.P. of the scooter for Rahim (ii) the S.P. and the C.P. of the scooter for Rajesh
    Ans : Let C.P. of the scooter for Rajesh = Rs 100x
    S.P. for Rajesh = (100x × 92)/100 = 92x
    This will be C.P. for Rahim = 92x, Gain = 5%
    ∴ S.P. for Rahim = (92x × 105)/100
    = (92x × 21)/20
    = (46x × 21)/10
    = 966x/10
    This will be C.P. for Prem = Rs. 14,490
    ∴ 966x/10 = 14,490
    ⇒ x = 14490/966 × 10
    = 14490/483 × 5
    = 30 × 5
    = 150 (i) C.P. of scooter for Rahim = 92x = 92 × 150
    = Rs. 13800
    S.P. of scooter for Rahim = 966x/10
    = 966/10 × 150
    = Rs. 966 × 15
    = Rs. 14490 (ii) ∴ C.P. of Scooter for Rajesh = 100x = 100 × 150
    = Rs. 15000
    S.P. of Scooter for Rajesh = 92x = Rs. 92 × 150
    = Rs. 13800 (i) C.P. of scooter for Rahim = 92x = 92 × 150
    = Rs. 13800
    S.P. of scooter for Rahim = 966x/10
    = 966/10 × 150
    = Rs. 966 × 15
    = Rs. 14490 (ii) ∴ C.P. of Scooter for Rajesh = 100x = 100 × 150
    = Rs. 15000
    S.P. of Scooter for Rajesh = 92x = Rs. 92 × 150
    = Rs. 13800
  • #11-i
    the S.P. and the C.P. of the scooter for Rahim
    Ans : C.P. of scooter for Rahim = 92x = 92 × 150
    = Rs. 13800
    S.P. of scooter for Rahim = 966x/10
    = 966/10 × 150
    = Rs. 966 × 15
    = Rs. 14490
  • #11-ii
    the S.P. and the C.P. of the scooter for Rajesh
    Ans : ∴ C.P. of Scooter for Rajesh = 100x = 100 × 150
    = Rs. 15000
    S.P. of Scooter for Rajesh = 92x = Rs. 92 × 150
    = Rs. 13800