# Raj sold his scooter to rahim at 8% loss and rahim in turn sold the same scooter to prem at 5% gain. If prem paid ?14490 for the scooter; find: (a)the s.p and c.p of the scooter for rahim .(b) the s.p and c.p of the scooter for raj

CP of Rahim

$\frac{100}{100 + gain}\times SP \\ \Rightarrow\frac{100}{100 +5}\times14490 \\ \Rightarrow \frac{100}{105}\times14490\\ \Rightarrow 13800$

Now, CP of Rahim will be SP of Raj  = $13800$

Now CP of Raj

$\frac{100}{100 - 8} \times13800\\ \Rightarrow \frac{100}{92} \times 13800\\ \Rightarrow 1500\\$

(a) The SP and CP of the Scooter for Rahim $= 14490, 13800\\$

(b) The SP and CP of the scooter for Raj = $= 13800, 15000\\$

Hence, answers (a)   $14490, 13800\\$

(b)  $13800, 15000\\$

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