Question

Raju sells a watch at 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.

Answer 1

Let C.P. of the watch = Rs. 100
When profit =5%; S.P. = Rs. (100+5)
= Rs. 105
and when profit = 11%;
S.P. = Rs. (100+11)
=Rs.111
Difference of two selling prices
= Rs. 111-Rs.105 = Rs.6
When watch sold for Rs. 6 more; then C.P. of the watch = Rs. $\frac{100}{6}$
When watch sold for Rs. 24 more; then C.P. of the watch = Rs. $\frac{100}{6}\times 24$
= Rs. $\frac{100\times 24}{6}=Rs.400$