Two varities of rice costs Rs. 26 per kg and Rs. 10 per
kg are mixed to get 10% loss when sold out Rs. 25 per
ky. Find the quantities of rice taken for '70 kgs of
(a) 40.30 (b) 10.60 (0) 35.45 (d) 33.15
(e) 0.20
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Answer:
Correct Question is in the attachment –
Here I'm showing calculation for Mean cost at which its per kg being sold :
⇢ Original × (100 - 16⅔)% = 25
- Changing it into number
⇢ Original × (1 - 1/6) = 25
⇢ Original × 5/6 = 25
⇢ Original = 25 × 6/5
⇢ Original = 5 × 6
⇢ Original = Rs. 30 per kg
⠀⠀⠀⠀⠀───────────────
• By Mixture and Allegation method :
1st Variety (Rs/kg) 2nd Variety (Rs/kg)
26 40
Mean (Rs/kg)
30
10 : 4
- Dividing both by 2
5 : 2
So the mixture is in ratio 5 : 2 and total mixture is 70 kg. Now we have 70/(5 + 2) = 70/7 = 10
• 5 × 10 = 50 kg
• 2 × 10 = 20 kg
∴ Hence, Option (e) 50, 20 is correct.
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