Question:
A tricycle is sold at a gain of 16%. Had it been sold for Rs 100 more, the gain would have been 20%. Find the C.P. of the tricycle.
Solution:
Let the S. P of the tricycle be Rs. $x$ and C.P be Rs. $y$
Gain $\%=16 \%$
$S \cdot P=C \cdot P\left(\frac{100+\text { gain } \%}{100}\right)$
Then we have,
$x=y+\left(\frac{y \times 16}{100}\right)$
$x=y+0.16 y$
$x=1.16 y$
When S.P increases by Rs. 100 , we get
$\Rightarrow x+100=y+\left(\frac{y \times 20}{100}\right)$
Put ting $x=1.6 y$, we get
$\Rightarrow 1.16 y+100=y+0.2 y$
1. $16 y+100=1.2 y$
$0.04 y=100$
$y=\frac{100}{0.04}$
$=2500$
Thus, C.P of the tricycle $i s$ Rs. 2500 .