ABC26GN2482 · Percentage

Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:

A reduction of 21\% in the price of wheat enables a person to buy 10.5 kg more for ₹ 100. What is the reduced price per kg?
(a)₹ 2
(b)₹ 2.25
(c)₹ 2.30
(d)₹ 2.50
Answer
Answer (as printed): A
Explanation
Let original price $=₹ x$ per kg. Reduced price $=₹\left(\frac{79 x}{100}\right)$ per kg. $$\begin{aligned} & \therefore \quad \frac{100}{\frac{79 x}{1000}}-\frac{100}{x}=10.5 \Leftrightarrow \frac{10000}{79 x}-\frac{100}{x}=10.5 \\ & \Leftrightarrow \quad 10000-7900=10.5 \times 79 x \Leftrightarrow x=\frac{2100}{10.5 \times 79} . \\ & \begin{aligned} \therefore \text { Reduced price } & =₹\left(\frac{79}{100} \times \frac{2100}{10.5 \times 79}\right) \text { per kg } \\ & =₹ 2 \text { per kg. } \end{aligned} \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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