Question

Jatin bought a refrigerator with $20\%$ discount on the labelled price. If he woud have bought it with $25\%$ discount, he could have saved Rs. $500$. At what price did he buy the refrigerator?

• A. Rs. $5,000$
• B. Rs. $10,000$
• C. Rs. $12,500$
• D. Rs. $15,000$

Answer 1

Answer: (B)

Rs. $10,000$

$\Rightarrow$ Let actual price of refrigerator is $Rs.x$

$\Rightarrow$ The cost of refrigerator to jatin after 20% discount $=\frac{80}{100}\times x=\frac{4x}{5}$

$\Rightarrow$ Cost of refrigerator to jatin after 25% discount $=\frac{75}{100}\times x=\frac{3x}{4}$

$\Rightarrow$ Then according to the question,

$\Rightarrow$ $\frac{4x}{5}-\frac{3x}{4}=500$

$\Rightarrow$ $\frac{16x-15x}{20}=500$

$\therefore$ $x=20\times 500=10000$