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The cost of Basmati rice is Rs. 30 per kg and Ponni rice is Rs. 20 per kg. Both quantities are mixed in the ratio 2 ∶ 3. Then the price of 2 kg of the mixed variety of rice is?
- ARs. 24
- BRs. 25
- CRs. 48
- DRs. 20
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Basmati and Ponni rice are mixed in the ratio of 2 ? 3
⇒ Amount of Basmati in 1 kg of the mixture = 2/5 kg
⇒ Amount of Ponni rice in 1 kg of the mixture = 3/5 kg
⇒ Price of 2/5 kg of Basmati rice in Rs. = 2/5 × 30 = Rs. 12
⇒ Price of 3/5 kg of Ponni rice in Rs. = 3/5 × 20 = Rs. 12
⇒ Price of 1 kg of the mixed variety = Rs. (12 + 12) = Rs. 24
∴ Price of 2 kg of the mixed variety = Rs. (2 × 24) = Rs. 48
⇒ Amount of Basmati in 1 kg of the mixture = 2/5 kg
⇒ Amount of Ponni rice in 1 kg of the mixture = 3/5 kg
⇒ Price of 2/5 kg of Basmati rice in Rs. = 2/5 × 30 = Rs. 12
⇒ Price of 3/5 kg of Ponni rice in Rs. = 3/5 × 20 = Rs. 12
⇒ Price of 1 kg of the mixed variety = Rs. (12 + 12) = Rs. 24
∴ Price of 2 kg of the mixed variety = Rs. (2 × 24) = Rs. 48