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Veenu purchas...

Question

Veenu purchased two types of wheat, one costing Rs. $20$ per kg and the other Rs. $25$ per kg in quantities having ratio $5 : 4$ . He mixed the two and sold the mixture at Rs. $24$ per kg. In the transaction he got

2 %

loss

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2.5 %

gain

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8 %

gain

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8.5 %

loss

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Solution

The correct option is C $8 %$ gain
Let the quantities of the two types of wheat be $5 x$ kg and $4 x$ kg.
Then, C.P. of the two types of wheat
$= 5 x \times$ Rs. $20 + 4 x \times$ Rs. $25$
$=$ Rs. $100 x +$ Rs. $100 x =$ Rs. $200 x$
S.P. of the mixture $= (5 x + 4 x) \times$ Rs. $24$
$= 9 x \times$ Rs. $24 =$ Rs. $216 x$

S.P. $>$ C.P., then

Profit $= 216 x - 200 x =$ Rs. $16 x$
$∴$ Profit $%$ $= \frac{16 x}{200 x} \times 100 = 8 %$

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Veenu purchased two types of wheat, one costing Rs. 20 per kg and the other Rs. 25 per kg in quantities having ratio 5:4. He mixed the two and sold the mixture at Rs. 24 per kg. In the transaction he got

Veenu purchased two types of wheat, one costing Rs. $20$ per kg and the other Rs. $25$ per kg in quantities having ratio $5 : 4$ . He mixed the two and sold the mixture at Rs. $24$ per kg. In the transaction he got