Question

An amount of money is to be divided among P, Q and R in the ratio of 3 : 5 : 7 respectively. If the amount received by R is Rs. 4000 more than the amount received by Q. What will be the total amount received by P and Q together?

(A) Rs. 8000
(B) Rs. 12000
(C) Rs. 16000
(D) Cannot be determined

Answer 1

Answer:

C

Step-by-step explanation: Let all the ratios be x, given that, R gets 4000 more than Q

therefore 7x - 5x = 4000

so x = 2000

therefore the sum is 3(2000) + 5(2000)

= 16000

Answer 2

Answer:

Let the ratio of the money among P : Q : R be 3x : 5x : 7x such that :

P got 3 x amount of money .

Q got 5 x amount of money .

R got 7 x amount of money .

Given that R received Rs 4000 more than Q which means that R got Rs 4000 amount of money more than Q .

Q got 5 x while R got 7 x . So the difference between 7 x and 5 x = Rs 4000 .

⇒ 7 x - 5 x = Rs 4000

⇒ 2 x = Rs 4000

⇒ x = Rs 4000/2

⇒ x = Rs 2000

The amount of money received by P and Q together is 3 x + 5 x ⇒ 8 x .

Hence the amount of money = Rs 2000 × 8

⇒ Rs 16,000 .

OPTION (C) is the correct answer .