Question

A, B and C divide an amount of Rs. 9,915 amongst themselves in the ratio of 3 : 5 : 7 respectively. What is the C’s share in the amount?​

Answer 1

Given :

• A, B and C divided an amount of Rs. 9,915 amongst themselves in the ratio 3 : 5 : 7 respectively.

To Find :

• We have to find out the value of C’s share in the amount.

Solution :

So, firstly let's assume the ratios as 3x, 5x and 7x respectively and then after we will add the ratios. We already know that sum of A, B and C’s share in the amount is Rs. 9915, we can easily calculate the C’s share in the amount by adding the ratios and then by performing necessary operations. Let's do..!!

$\implies \tt \: 3x + 5x + 7x = Rs. \: 9915 \\ \\ \implies \tt \: 10x = Rs. \: 9915 \\ \\ \implies \tt x = \cancel\dfrac{9915}{15} \\ \\ \implies \underline{ \boxed{ \tt{661}}}$

$\therefore$ We got the value of x as 661.

A/Q,

Given that the ratio of C’s share in the amount is 7. So therefore, we need multiply 7 with the value of x and calculate the amount of C’s share.

$\implies \tt C’s \: share = 7 \times 661 \\ \\ \implies \underline{ \boxed{\tt{ \green{C’s \: share = Rs. 4627}}}}$

$\therefore$ The amount of C’s share is Rs. 4627.

Answer 2

Answer:

Given :-

• A, B and C divides an amount of Rs 9915 amongst themselves in the ratio of 3 : 5 : 7 respectively.

To Find :-

• What is the C's share in the amount.

Solution :-

Let,

$\mapsto \rm{\bold{A's\: share\: =\: 3x}}$

$\mapsto \rm{\bold{B's\: share\: =\: 5x}}$

$\mapsto \rm{\bold{C's\: share =\: 7x}}$

According to the question,

$\implies \sf 3x + 5x + 7x =\: 9915$

$\implies \sf 8x + 7x =\: 9915$

$\implies \sf 15x =\: 9915$

$\implies \sf x =\: \dfrac{\cancel{9915}}{\cancel{15}}$

$\implies \sf x =\: \dfrac{661}{1}$

$\implies \sf\bold{\purple{x =\: Rs\: 661}}$

Hence, the required shares of A's , B's and C's are :

$\bigstar\: \sf\bold{\green{A's\: share\: :-}}$

$\longrightarrow \sf 3x$

$\longrightarrow \sf 3(Rs\: 661)$

$\longrightarrow \sf 3 \times Rs\: 661$

$\longrightarrow \sf\bold{\red{Rs\: 1983}}$

$\bigstar \: \sf\bold{\green{B's\: share\: :-}}$

$\longrightarrow \sf 5x$

$\longrightarrow \sf 5(Rs\: 661)$

$\longrightarrow \sf 5 \times Rs\: 661$

$\longrightarrow \sf\bold{\red{Rs\: 3305}}$

$\bigstar\: \sf\bold{\green{C's\: share\: :-}}$

$\longrightarrow \sf 7x$

$\longrightarrow \sf 7(Rs\: 661)$

$\longrightarrow \sf 7 \times Rs\: 661$

$\longrightarrow \sf\bold{\red{Rs\: 4627}}$

$\therefore$ The C's share in the amount is Rs 1983.

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VERIFICATION :-

$\leadsto \tt{3x + 5x + 7x =\: 9915}$

By putting x = 661 we get

$\leadsto \tt{3(661) + 5(661) + 7(661) =\: 9915}$

$\leadsto \tt{1983 + 3305 + 4627 =\: 9915}$

$\leadsto \tt{\bold{\pink{9915 =\: 9915}}}$

Hence, Verified.