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Three types of pulses are mixed together. Their volumes are in proportion to 5, 4 and 3 respectively and the weights of equal volumes are in proportion to 6, 5 and 4 respectively. What is the weight of the pulse of first type if the weight of mixture is 248 kg?

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Three types of pulses are mixed together. Their volumes are in proportion to 5, 4 and 3 respectively and the weights of equal volumes are in proportion to 6, 5 and 4 respectively. What is the weight of the pulse of first type if the weight of mixture is 248 kg?
1). 120 kg
2). 119 kg
3). 110 kg
4). 118 kg


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Answered by on | Votes 0 |

Volume of three types of pulse are in proportion 5, 4 and 3

Weight of equal volume are in proportion 6, 5 and 4

⇒ Ratio of weights of three types of pulse = (5 × 6) : (4 × 5) : (3 × 4)

⇒ 30 : 20 : 12 = 15 : 10 : 6

Let the weight of first type be 15x, second type be 10x and third type be 6x

⇒ 15x + 10x + 6x = 31x

⇒ x = 248/31 = 8

∴ weight of first type = 15x = 15 × 8 = 120

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