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.

Answer 1

Let the C.P of tricycle = Rs. 100
In first case, gain $=16\%$
$\therefore$ S.P = Rs. 100 + 16 = Rs. 116
In second case, gain $=20\%$
$\therefore$ S.P = Rs. 100 + 20 = Rs. 120
Difference in S.P's = Rs. 120 - Rs. 116
= Rs. 4
If difference is Rs. 4, then C.P of the tricycle = Rs. 100
and if difference is Re. 1, then C.P
$=Rs.\frac{100}{4}$
and if difference is Rs. 100, then C.P
$=Rs.\frac{100\times 100}{4}=Rs.2500$