Question

1. An amount of rupees 4500 is to be distributed
among Shrinath, Ramnath and Raghunath in
the ratio of 3: 7: 5 respectively. If 500 is
added to each of the share, the new ratio will
become?
A. 7: 10 : 13
B. 9: 16 : 13
C. 2:4:3
D. 4 : 5:2​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

★ How to do :-

Here, we are given with the total money that should be distributed with Shrinath, Ramnath and Raghunath in the ratio of 3:7:5. We are asked to find the new ratio if some money i.e, ₹500 will be added to each of them, then the new ratio is to be found. So, first we should find the money they will get at first statement in 4500, then, we'll add 500 in each of their money to get the new ratio. So, let's solve!!

$\:$

➤ Solution :-

${\tt \leadsto 3:7:5 = 4500}$

${\tt \leadsto 3x + 7x + 5x = 4500}$

${\tt \leadsto 15x = 4500}$

${\tt \leadsto x = \dfrac{4500}{15}}$

${\tt \leadsto x = 300}$

$\:$

Now, multiply the value of 'x' by each of the children's part of thier ratio.

Shares of Shrinath :-

${\tt \leadsto 3x = 3 \times 300}$

${\tt \leadsto Rs \: \: 900}$

Shares of Ramnath :-

${\tt \leadsto 7x = 7 \times 300}$

${\tt \leadsto Rs \: \: 2100}$

Shares of Raghunath :-

${\tt \leadsto 5x = 5 \times 300}$

${\tt \leadsto Rs \: \: 1500}$

$\:$

Now, add 500 to each of their money to get the value of thier new ratio.

New price of Shrinath :-

${\tt \leadsto 900 + 500}$

${\tt \leadsto Rs \: \: 1400}$

New price of Ramnath :-

${\tt \leadsto 2100 + 500}$

${\tt \leadsto Rs \: \: 2600}$

New price of Raghunath :-

${\tt \leadsto 1500 + 500}$

${\tt \leadsto Rs \: \: 2000}$

$\:$

Now, write all thier money in the form of ratio.

${\tt \leadsto 1400:2000:2600}$

${\tt \leadsto 14 \cancel{00}:20 \cancel{00}:26 \cancel{00}}$

${\tt \leadsto 14:20:26}$

${\tt \leadsto \cancel{14}: \cancel{20}: \cancel{26}}$

${\tt \leadsto \orange {\underline{\boxed{ \tt 7:10:13}}}}$

Hence solved !!