An owner gains a profit of 5% when he sells a
Rs 65. Find the price at which he should sell the product to gain 10% on cost price?
Answers
Answer:
S.P = Rs. 65
Gain = 5%
\sf{ \therefore{C.P. = \dfrac{100}{100 + gain\%} \times S.P}}∴C.P.=
100+gain%
100
×S.P
\sf{C.P. = ( \dfrac{100}{100 + 5}) \times 65}C.P.=(
100+5
100
)×65
\sf{C.P. = \dfrac{100}{105} \times 65}C.P.=
105
100
×65
\sf{C.P = Rs. \: 61.90 }C.P=Rs.61.90
Now,
C.P. = Rs. 61.90
gain = 8%
We are required to find S.P.
\sf{S.P. = (\dfrac{100 + gain\%}{100}) \times C.P.}S.P.=(
100
100+gain%
)×C.P.
\sf{S.P. = ( \dfrac{100 + 10}{100} ) \times 61.90}S.P.=(
100
100+10
)×61.90
\sf{S.P. = \dfrac{110}{100} \times 61.90}S.P.=
100
110
×61.90
\sf{S.P. = Rs. \: 68.09}S.P.=Rs.68.09
Answer:
Let the cost price be x
SP of 5 articles =CP of 6 articles
SP of 1 articles =56x
Clearly, since SP>CP, therefore there is profit
Profit %=CPSP−CP×100
=x56x−x×100=51×100
=20%.