Question

By selling 60 kg of sugar for Rs. 690 the cost price of 9 kg of sugar is gained. Find the gain percent and cp of of the sugar per kg​

Answer 1

Answer:

C.P =  ₹ 600

Profit = ₹ 90

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Step-by-step explanation:

Let C.P of 60 kg Sugar = x

∴ C.P of 1 kg sugar = $\frac{x}{60}$

S.P of 60 kg Sugar = 690

Profit = C.P of 9 kg of Sugar

⇒ $\frac{x*9}{60}$

Profit = S.P - C.P

⇒ 690 - x

Equating Both :-

690 - x = $\frac{x*9}{60}$

⇒ 60 × (690 - x) = 9x

⇒  41400 - 60x = 9x

⇒ 41400 = 69x

⇒ x = 41400/69

⇒ x = 600

∴ C.P  of 60kg sugar= ₹ 600

C.P of 1 kg sugar = 600/60 = 10

Profit = C.P of 9kg of sugar = 9 × 10 = ₹ 90

Answer 2

$\color{red}{\huge{\underline{\underline{GIVEN\dag}}}}$

• 60kg sugar is sold at Rs.690
• Profit gained is equal to cost price of 9kg

$\color{red}{\huge{\underline{\underline{SOLUTION \dag}}}}$

Let,

Cost price of 60Kg sugar be "x"

We know that,

$\color{blue}{{\boxed{profit=S.P-C.P}}}$-------(1)

where,

• S.P is selling price
• S.P is selling price C.P is cost price

Cost price of 9Kg(profit);

$=\frac{x}{9}$

Substituting in (1);

$\frac{x}{9}=690-x$

$\frac{x}{9}+x=690$

$\frac{10x}{9}=690$

$10x=690×9$

$x=621$

Therefore,cost price of 60Kg is Rs.621

Hence,for $\color{orange}{1Kg=\frac{621}{60}=Rs.10.35}$

And,$\color{orange}{Profit=690-621=69}$

We know that;

$\color{blue}{{\boxed{Gain\:Percentage=\frac{Profit}{S.P}×100}}}$

$G.P=\frac{69}{690}×100$

$\color{orange}{G.P=10\%}$

HOPE THAT HELPS!!