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Question
A manufacture makes a profit of 30% by selling a colour T.V. for Rs.15730. If the cost of manufacturing increases by 30% and the selling price is increased by 20%, find the profit percent made by the manufacture.
Solution
S.P. of the T.V. = Rs.15730
Profit = 30%
`"S.P."/"C.P." = 1 + "Profit"/(100)`
⇒ `(15730)/"C.P." = 1 + (30)/(100)`
⇒ `(15730)/"C.P." = (100 + 30)/(100)`
⇒ C.P. = `(100)/(130) xx 15730`
= Rs.12100.
C.P. of the T.V. = Rs.12100
Increase in C.P. = 30%
New C.P.
= Rs.12100 + 30% of Rs.12100
= Rs.12100 + Rs3630
= Rs.15730
S.P. of the T.V. = Rs.15730
Increase in S.P. = 20%
New S.P.
= Rs.15730 + 20% of Rs.15730
= Rs.15730 + Rs.3630
= Rs.18876
Profit
= S.P. - C.P.
= Rs.(18876 - 15730)
= Rs.3146
Profit %
= `"Profit"/"C.P." xx 100`
= `(3146)/(15730) xx 100`
= 20%.
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