Question

Two shopkeepers sell a radio of similar brand and type at the same list price of Rs. $1000$. The first allows two successive discounts of $20\%$ and $10\%$ and the second allows two successive discounts $15\%$ and $15\%$. Find the difference in the discounts offered by the two shopkeepers

• A. Rs. $3.50$
• B. Rs. $2.50$
• C. Rs. $1.50$
• D. Rs. $1.75$

Answer 1

Answer: (B)

Rs. $2.50$

S.P. of the $1^{st}$ shopkeeper
$=$ $80\%$ of $90\%$ of Rs. $1000$
$=\frac{80}{100}\times \frac{90}{100}\times$ Rs. $1000$
$=$ Rs. $720$
S.P. of the $2nd$ shopkeeper
$=$ $85\%$ of $85\%$ of Rs. $1000$
$=\frac{85}{100}\times \frac{85}{100}\times$ Rs. $1000$
$=$ Rs. $722.50$
$\therefore$ Difference in discount $=$ Rs. $722.50-$ Rs. $720$
$=$ Rs. $2.50$