Question

A fruit-seller bought some oranges at 4 for Rs. 3 and an equal number at 5 for Rs. 3, He mixed the two lots and sold these at 90 paise each. Find the gain or loss per cent.

Answer 1

C.P. of $1$ orange of $1$ st kind $=Rs\frac{3}{4}=Rs0.75$
And C.P. of $1$ orange of $2$ nd kind $=Rs\frac{3}{5}=Rs0.60$
On, mixing C.P. of $2$ oranges $=0.75+Rs0.60=Rs1.35$
And S.P. of $2$ oranges $=Rs2\times 0.9=Rs1.80$
Now, Since $S.P.>C.P.$ there is a gain
So, Profit % $=\frac{S.P-C.P.}{C.P.}\times 100=\frac{1.80-1.35}{1.35}\times 100=\frac{45}{135}\times 100=33\frac{1}{3}\%$