Question

An amount of rupees 7600 is divided among P, Q, R much that if then share is reduced by rupees 42,147 and 211 respectively the the remainder shall be in the ratio 3:4:5. What will be the R's share

Answer 1

Step-by-step explanation:

Total amount distributed among P, Q & R =Rs4830.

Total amount diminished =Rs(5+10+15)=Rs30.

So the rest of the amount =Rs(4830−30)=Rs4800.

To get The individual's share we divide Rs 4800 in the ratio

3:4:5.

So P's amount

=Rs

3+4+5

3

×4800=Rs

12

3

×4800=Rs1200.

∴ P's share before deduction of Rs 5

=Rs(1200+5)=Rs1205.

Answer 2

• R's share is equal to Rs.3211 .

Given :-

• Total amount divided among P, Q and R = Rs.7600 .
• Each share is reduced by rupees 42, 147 and 211 respectively .
• Ratio of remainder = 3 : 4 : 5

To Find :-

• What will be the R's share ?

Solution :-

We have given that, ratio of remaining share after amount is reduced is equal to 3 : 4 : 5 .

So, Let us assume that, the the remaining share of P, Q and R is equal to Rs. 3x , Rs. 4x and Rs. 5x respectively . { As 3x : 4x : 5x = 3 : 4 : 5 . }

then,

→ Reduced share of P = Rs. 3x

→ Reduced amount = Rs. 42

So,

→ Initial share of P = Reduced share + Reduced amount = Rs. (3x + 42)

similarly,

→ Reduced share of Q = Rs. 4x

→ Reduced amount = Rs. 147

So,

→ Initial share of Q = Reduced share + Reduced amount = Rs. (4x + 147)

and,

→ Reduced share of R = Rs. 5x

→ Reduced amount = Rs. 211

So,

→ Initial share of R = Reduced share + Reduced amount = Rs. (5x + 211)

now, we have given that, total amount divided among P, Q and R was Rs. 7600 .

therefore,

→ Initial share of P + Initial share of Q + Initial share of R = Rs. 7600

→ (3x + 42) + (4x + 147) + (5x + 211) = 7600

→ 3x + 4x + 5x + 42 + 147 + 211 = 7600

→ 12x + 400 = 7600

→ 12x = 7600 - 400

→ 12x = 7200

→ 12x = 12 × 600

dividing both sides by 12,

→ x = Rs. 600

hence,

→ Initial share of R = Rs. (5x + 211)

putting value of x now,

→ Initial share of R = 5 × 600 + 211

→ Initial share of R = 3000 + 211

→ Initial share of R = Rs. 3211 (Ans.)

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