Question

After decuting a commission of 5%, a moped costs Rs 15200. What is its gross value?

Answer 1

Suppose that the gross value of the moped is Rs x.
Commission on the moped = 5%
Price of moped after deducting the commission = Rs ( x − 5% of x)
= Rs $\left(x-\frac{5x}{100}\right)$ = Rs $\left(\frac{100x-5x}{100}\right)$ = Rs $\left(\frac{95x}{100}\right)$
Now, price of the moped after deducting the commission = Rs 15200
Then, Rs $\left(\frac{95x}{100}\right)$= Rs 15200
∴ x = Rs $\left(\frac{15200\times 100}{95}\right)$ = Rs (160 $\times$ 100) = Rs 16000
Hence, the gross value of the moped is Rs 16000.