Let the gross value of the moped is ₹ x.
Commission on the moped = 5%
The price of moped after deducting the commission = ₹ (x – 5% of x)
= ₹ (x – [(5/100) × (x)])
= ₹ (x – (5x/100))
= ₹ (100x – 5x)/100
= ₹ (95x/100)
Cost of moped after deducting the commission = ₹ 15200
Then,
= (95x/100) = 15200
= x = (15200 × 100)/ 95
= x = (160 × 100)
= x = 16000
∴the gross value of the moped is ₹ 16000
