Question

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 14,490for the scooter find:
1. The s.p. and c.p. of the Rahim
2. The s.p. and c.p. of the scooter for Rajesh.

Answer 1

Answer:

Step-by-step explanation:

Rajesh sold scooter to Rahim at 8% loss

Rahim sold scooter to Prem at 5% profit.

CP of Prem = 14490.

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CP of Prem will be SP of Rahim that is 14490.

So, CP of Rahim = 100/(100+gain%) * SP

= 100/(100+5) * 14490

= 100/105 * 14490

= 13800

Now CP of Rahim will be SP of Rajesh that is 13800.

So, CP of Rajesh = 100/(100-8) * 13800

= 100/92 * 13800

= 15000

So, we get,

(1) The S.P. and the C.P. of the scooter for Rahim is :

SP of Rahim = 14490

CP of Rahim = 13800

(2) The S.P. and the C.P. of the scooter for Rajesh is :

SP of Rajesh = 13800.

CP of Rajesh = 15000

Answer 2

Step-by-step explanation:

let price of scooter is x .

price for Rahim = 92x/100

price for Prem = (5/100)(92x/100) + 92x/100 = 14490

(92x/100){105/100} = 14490

x = (14490×10000)/(92×105) = 15000 ₹

1. purchase price for Rahim = 92×15000/100 = 13800 ₹

selling price for Rahim = 13800 + 5×13800/100 = 14490 ₹

2. purchase price for Rajesh = 15000 ₹

selling price for Rajesh = 13800 ₹