Question : The cost of 3 kg of rice is INR 180. The cost of 8 kg of rice is equal to that of 5 kg of pulse. The cost of 15 kg of pulses is equal to that of 2 kg of tea. The cost of 3 kg of tea is equal to that of 6 kg of walnuts. What is the cost (in INR) of 10 kg of walnuts?
Option 1: 2400
Option 2: 3200
Option 3: 2800
Option 4: 3600
Correct Answer: 3600
Solution :
Given that the cost of 3 kg of rice is INR 180.
The cost of 8 kg of rice is equal to that of 5 kg of pulse.
The cost of 15 kg of pulses is equal to that of 2 kg of tea.
The cost of 3 kg of tea is equal to that of 6 kg of walnuts.
The cost of 1 kg rice = $\frac{180}{3}=60$
The cost of 5 kg pulse = cost of 8 kg of rice = 480
The cost of 2 kg tea = The cost of 15 kg pulse = 480 × 3 = 1440
The cost of 6 kg walnuts = The cost of 3 kg tea = $\frac{1440\times3}{2}=2160$
The cost of 10 kg walnuts = $\frac{2160\times 10}{6}=3600$
Hence, the correct answer is 3600.
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