Rachna purchased $2 \frac{1}{2}$ kg onions at $10$ per kg and $1 \frac{3}{8}$ kg potatoes at $116 \frac{8}{11}$ per kg. She gave a five hundred rupee note to the shopkeeper. Find the amount she got back from the shopkeeper.
First, let's calculate the cost of onions and potatoes separately:
Cost of onions:
$$ 2 \frac{1}{2} \times 10 = \frac{5}{2} \times 10 = 25 $$Cost of potatoes:
$$ 1 \frac{3}{8} \times 116 \frac{8}{11} = \frac{11}{8} \times \frac{1290}{11} = 161.25 $$Therefore, the total cost of onions and potatoes is:
$$ 25 + 161.25 = 186.25 $$Since Rachna gave the shopkeeper a five hundred rupee note, the amount she got back is:
Amount Rachna got back:
$$ 500 - 186.25 = 313.75 $$
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