Question

Due to 20% decrease in price of the wheat, a man able to purchase 4 kg more wheat for Rs. 80. Find the original price per kg.
0 4
05
0 6.5
o 8​

Answer 1

Answer:

Step-by-step explanation:

A reduction of 20 percent in the price of wheat enables

A reduction of 20% in the price of Wheat enables a person to buy 3.5 kg more Wheat for Rs. 770.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Due to 20% decrease in price of the wheat, a man able to purchase 4 kg more wheat for Rs. 80. Find the original price per kg.

• 4

• 5

• 6.5

• 8

EVALUATION

Let the original price of wheat per kg = Rs 100x

Now it is given that due to 20% decrease in price of the wheat, a man able to purchase 4 kg more wheat for Rs. 80

So after decrease in price of the wheat price of wheat per kg = Rs 80x

So by the given condition

$\displaystyle \sf{ \: \frac{80}{80x} - \frac{80}{100x} = 4 }$

$\displaystyle \sf{ \implies \: \frac{1}{x} - \frac{4}{5x} = 4 }$

$\displaystyle \sf{ \implies \: \frac{5 - 4}{5x} = 4 }$

$\displaystyle \sf{ \implies \: \frac{1}{5x} = 4 }$

$\displaystyle \sf{ \implies \: 20x = 1 }$

$\displaystyle \sf{ \implies \: 100x = 5}$

∴ The original price of wheat per kg = Rs 5

FINAL ANSWER

Hence the correct option is 5

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