Question

The ratio between two quantities is 3:4. If the first is rupees 810,find the second.
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Answer 1

Answer:

It is given that the ratio between two quantities = 3: 4

So the sum of ratio = 3 + 4 = 7

Here the second quantity (810 × 4) /3

We get = 270 × 4 = ₹ 1080

Answer 2

★ Solution :-

We have three different methods to solve this problem. The first method is as follows,

Let the second quantity be z.

$\sf \leadsto 3 : 4 :: 810 : z$

$\sf \leadsto 3 : 4 = 810 : z$

$\sf \leadsto 3(z) = 810(4)$

$\sf \leadsto 3z = 3240$

$\sf \leadsto z = \dfrac{3240}{3}$

$\sf \leadsto z = 1080$

The second method is as follows,

$\sf \leadsto 3 : 4 :: 810 : z$

$\sf \leadsto 3 : 4 = 810 : z$

$\sf \leadsto \dfrac{3}{4} = \dfrac{810}{z}$

$\sf \leadsto 3(z) = 810(4)$

$\sf \leadsto 3z = 3250$

$\sf \leadsto z = \dfrac{3240}{3}$

$\sf \leadsto z = 1080$

The third method is as follows,

$\sf \leadsto 3 : 4 :: 810 : z$

$\sf \leadsto 3 : 4 = 810 : z$

$\sf \leadsto \dfrac{3}{4} = \dfrac{810}{z}$

$\sf \leadsto z = \dfrac{810}{3} \times 4$

$\sf \leadsto z = 270 \times 4$

$\sf \leadsto z = 1080$

Therefore, the weight of second quantity is ₹1080.