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A shopkeeper mixes 12 kgs of rice at ₹ 8 per kg with 6 kgs of rice at 10 per kg . Find the cost per kg of the mixture .
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- ₹ 8.67
- ₹ 8.50
- ₹ 7.67
- ₹ 7.50
Correct Option: A
Total quantity of the mixture
= 12 + 6 = 18 kgs .
Cost of 12 kgs of rice at ₹ 8 per kg = ₹ (12 × 8) = ₹ 96
Cost of 6 kgs of rice at ₹ 10 per kg
= ₹ (6 × 10) = ₹ 60
∴ Total cost of 18 kgs of the mixture
= ₹ (96 + 60) = ₹ 156
∴ Cost per kg of the mixture
| = | ; ₹ 8.67 per kg | |
| 18 kgs |
[Because cost of the mixture lies somewhere in the middle of ₹ 8 and ₹ 10, so this type of problem is known as ‘Alligation medial’].
