Question

The price of a teaset is increased by 5%. If the increased price is Rs 441, what is its original price?

Answer 1

Let us assume that the original price of the tea set is Rs. x
Increase in it = 5%
So, value increased on the tea set = 5% of Rs. x
= Rs. $\left(\frac{5}{100}\times x\right)$ = Rs. $\left(\frac{x}{20}\right)$
Then, increased price of the tea set = Rs. $\left(x+\frac{x}{20}\right)$
= Rs. $\left(\frac{20x+x}{20}\right)$ = Rs. $\left(\frac{21x}{20}\right)$
However, increased price = Rs. 441
Then, Rs. $\left(\frac{21x}{20}\right)$ = Rs. 441
∴ x = $\left(\frac{441\times 20}{21}\right)$ = 420
Hence, the original price of the tea set is Rs 420