# The price of a commodity has increased by 15% so that one can buy 3 more commodities for Rs 1700. What was the original price of the commodity?

Oct 9, 2017

The original price of the commodity is: ${C}_{o} = R s 492.75$

#### Explanation:

Three commodities now cost $R s 1700$

One commodity now cost $\frac{R s 1700}{3} = R s 566.6 \overline{6}$

The cost now is: C_n=C_o +15%C_o

$R s 566.6 \overline{6} = {C}_{0} + \frac{15}{100} {C}_{o}$

$R s 5666 \overline{6} = 100 {C}_{0} + 15 {C}_{o}$

$\frac{R s 5666 \overline{6}}{115} = {C}_{o}$

$\frac{R s 5666 \overline{6}}{115} = {C}_{o}$

$R s 492.75 = {C}_{o}$