Question

In what ratio must two kinds of sugar at rs. 1.15 and rs. 1.24 per kg be mixed so that by selling at rs. 1.50 per kg, 25% may be gained?

Answer 1

Answer:

actual costing of the mixed sugar=100/125×1.5

=Rs.1.2

X×1.15+Y×1.24=1.2×(X+Y)

.04Y=.05X

X/Y=4:5

The required ratio is 4:5

Answer 2

The required ratio would be 4:5.

Step-by-step explanation:

Since we  have given that

Cost price of first kind of sugar = Rs. 1.15 per kg

Cost price of second kind of sugar = Rs. 1.25 per kg

Selling at Rs. 1.50 per kg at 25% gain.

So, before gain it would be

$\dfrac{100}{100+25}\times 1.50\\\\=\dfrac{100}{125}\times 1.50\\\\=\dfrac{4}{5}\times 1.50\\\\=4\times 0.3\\\\=Rs.\ 1.20$

So, by mixture and allegations, we get that

First kind     Second kind

    1.15                 1.24

               1.20

----------------------------------

1.24-1.20   :      1.20-1.15

   0.04      :      0.05

       4       :        5

Hence, the required ratio would be 4:5.

# learn more:

N what proportion must a grocer mix two teas, one priced rs. 1.25/kg and the other rs. 1.50/kg so that .The mixture may be worth rs. 1.30/kg?

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