If the cost of 5 whole 1 by 2 kg of sugar is rupees 206 whole 1 by 4 then find the cost of 8 whole 1 by 4 kg of sugar
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If the cost of 5 1/2 kg of sugar is rupees 206 1/4 then find the cost of 8 1/4 kg of sugar
This is just a simple conversion problem, converting kg to rupees.
8 1/4 kg * (206 1/4)rupees / (5 1/2)kg
= (8 1/4)(206 1/4) / (5 1/2) = 309 3/8 rupees
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To find the cost of 8 and 1/4 kg of sugar, we can first calculate the cost of 1/2 kg of sugar.
Given that the cost of 5 and 1/2 kg of sugar is 206 and 1/4 rupees, we can divide the total cost by the quantity to find the cost per kg.
To find the cost of 1/2 kg of sugar, we divide 206 and 1/4 by 5:
206 and 1/4 ÷ 5 = (206 + 1/4) ÷ 5 = 206 ÷ 5 + 1/4 ÷ 5 = 41 and 1/4
So, the cost of 1/2 kg of sugar is 41 and 1/4 rupees.
Next, we can calculate the cost of 8 and 1/4 kg of sugar by multiplying the cost of 1/2 kg by 16 (since 8 and 1/4 kg is 16 times larger than 1/2 kg):
41 and 1/4 × 16 = (41 × 16) + (1/4 × 16) = 656 + 4 = 660
Therefore, the cost of 8 and 1/4 kg of sugar is 660 rupees.