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Manish purchased 25 kg of rice @ Rs. 32 per kg and 15 kg of rice @ Rs. 36 per kg. He mixed the two varieties of rice and sold it @ Rs. 40.20 per kg. What is the percent profit earned ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\text{C}}{\text{.P}}{\text{. of 40 kg rice}} \cr
& = {\text{Rs}}.\left( {25 \times 32 + 15 \times 36} \right) \cr
& = {\text{Rs}}.\left( {800 + 540} \right) \cr
& = {\text{Rs}}.1340. \cr
& {\text{S}}{\text{.P}}{\text{. of 40 kg rice}} \cr
& = {\text{Rs}}.\left( {40 \times 40.20} \right) \cr
& = {\text{Rs}}{\text{. }}1608. \cr
& {\text{Profit}} = {\text{Rs}}.\left( {1608 - 1340} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}268. \cr
& \therefore {\text{Profit }}\% = \left( {\frac{{268}}{{1340}} \times 100} \right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 20\% \cr} $$
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