A paddy-processing unit purchases 10,000 kg of paddy. After subjecting it to milking operations, the husk and rice are separated. The husk forms 5% of the total paddy weight. The rice so extracted from the paddy contains 6% of broken or defective material in it. Cost of purchase of paddy is Rs. 3.50/kg and the selling price of rice is Rs.8.00/kg. The broken material is sold at Rs. 2.00/kg. The husk is sold at Rs0.50/kg. Q1. What is the amount of paddy to be processed, such that the sale of the rice extracted from it excluding broken and husk fetches an amount Rs.14,288? Q2. Assuming that all the rice produced by processing 10,000 kg of paddy is sold, what would be the decrease in profits if the broken in the operations increased to 8% Q3. Due to the evaporation of moisture, there is a 5% loss of weight before the processing of the paddy began. As a result the decrease in the weight of rice obtained (in kg ) is Q4. What is the amount realized on the sale of by products i.e broken and husk on processing 5,000 kg of paddy. |
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Q1. What is the amount of paddy to be processed, such that the sale of the rice extracted from it excluding broken and husk fetches an amount Rs.14,288?
a. 2000 kg b. 1786 kg c. 2500 kg d. 1886 kg
Sol. quantity of husk = 5% of 10000 Kg = 500 kg
the remaining quantity of paddy = 9500 kg
the quantity of broken or defective rice = 6% of 9500 kg = 570 kg
the quantity of rice = 8930 kg
price of rice = 8930x8 = Rs. 71440
10000kg / Rs. 71440 = x kg / Rs. 14288
x = 2000kg
Q2. Assuming that all the rice produced by processing 10,000 kg of paddy is sold, what would be the decrease in profits if the broken in the operations increased to 8%
a. Rs. 1,000 b. Rs.1,100 c. Rs. 1,140 d. Rs. 1,2000
Sol.
2% of 9500 kg = 190 kg
price of rice = 190x8 = Rs.1520
price of broken rice = 190x2 = Rs. 380
decrease profit = Rs. 1140
Q3. Due to the evaporation of moisture, there is a 5% loss of weight before the processing of the paddy began. As a result the decrease in the weight of rice obtained (in kg ) is
a. 450 kg b. 500 kg c. 447 kg d. 475 kg
Sol.
the new weight of rice = 0.95x0.95x0.94x10,000 kg = 8483.5 kg
decrease weight = 8930 - 8483.5 = 446.5 kg
Q4. What is the amount realized on the sale of by products i.e broken and husk on processing 5,000 kg of paddy.
a. Rs. 200 b. Rs. 180 c. Rs. 695 d. Rs. 190
Sol.
price of husk = 0.05x5000x0.50 = Rs. 125
price of broken rice = 0.06x0.95x5000x2 = Rs. 570
total amount = Rs. 695
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