हिंदी

A Milkman Purchases Milk at the Rate of Rs. 14 per Litre and Then Mixes 40% Water to It. Find the Profit per Cent, If He Sells the Mixture at Rs. 6 per Litre. - Mathematics

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प्रश्न

A milkman purchases milk at the rate of rs. 14 per litre and then mixes 40% water to it. Find the profit per cent, if he sells the mixture at Rs. 6 per litre.

योग
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उत्तर

Let the quantity of milk purchased be x litres.
C.P. of 1 litre = Rs.14
∴ C.P. of x litre = Rs.14x
Quantity of water mixed
= 40% of x = `(40)/(100)x`
= `(2)/(5)x  "litres"`
∴ Quantity of milk now becomes 
= `x + (2)/(5)x`
= `(7)/(5) x  "litres"`
S.P. of 1 litre mixture = Rs.16
∴ S.P. of `(7)/(5)x` litres mixture
= `16.(7)/(5)x`

= Rs.`(112)/(5)x`
Profit = S.P. - C.P.
= `(112)/(5)x - 14x`

= `(112x - 70x)/(5)`

= `(42)/(5)x`
Profit %
= `"Profit"/"C.P." xx 100`

= `((42x)/(5))/(14x) xx 100`
= 60%.

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अध्याय 2: Profit , Loss and Discount - Exercise 2.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 2 Profit , Loss and Discount
Exercise 2.2 | Q 21

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