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
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