The cost price and the marked price of an item are ₹720 and ₹900 respectively. When it is sold at a discount of x%, the profit is $\frac{5 x}{3}$%, what is the value of x ? |
$5 \frac{5}{7}$ $5 \frac{4}{7}$ $7 \frac{4}{7}$ $8 \frac{4}{7}$ |
$8 \frac{4}{7}$ |
CP = Rs. 720 MP = Rs. 900 According to the question, 900 × \(\frac{(100 - m) }{100}\) = 720 × \(\frac{(300 + 5m) }{300}\) ⇒ 900 × (100 - m) = 720 × \(\frac{(300 + 5m) }{3}\) ⇒ 90000 – 900m = 240 × (300 + 5m) ⇒ 90000 – 900m = 72000 + 1200m ⇒ 2100m = 18000 ⇒ m = \(\frac{18000}{2100}\) ⇒ m = \(\frac{60}{7}\) ⇒ m = $8 \frac{4}{7}$ |