a reduction of 21℅ in the price of rice makes aman to get 10.5kg more for rupees 100. find the reduction price per kg?
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Answer:
The reduction price per kg is Rs. 2.
Step-by-step explanation:
Let the original price of the rice be Rs. x / kg
After 21% of reduction, the new price of the rice is Rs. (79/100)x / kg
Now, from the question we can write,
{Price / (new price per kg)} - {Price / (original price per kg)} = 10.5
{100/(79/100)x} – {100/x} = 10.5
Or, (10000/79x) – (100/x) = 10.5
Or, (10000 – 7900) / 79x = 10.5
Or, 2100 / 79x = 10.5
Or, x = 2100 / (79 * 10.5)
Or, x = Rs. 2.532/kg
∴ New price=79 x / 100 = (79 * 2.532) / 100 = Rs. 2/kg
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