An amount of money is to be distributed among P, Q and R in the ratio of 7:4:5 respectively. If the total share of P and R is 4 times the share of Q, what is definitely Q’s share
Question
An amount of money is to be distributed among P, Q and R in the ratio of 7:4:5 respectively. If the total share of P and R is 4 times the share of Q, what is definitely Q’s share
Solution
To solve this problem, we need to follow these steps:
-
First, we need to understand the ratio given. The ratio of P:Q:R is 7:4:5. This means for every 7 parts that P gets, Q gets 4 parts and R gets 5 parts.
-
The problem states that the total share of P and R is 4 times the share of Q. We can express this in equation form as 7x + 5x = 4 * 4x, where x is the common ratio. Simplifying this equation gives 12x = 16x.
-
Solving for x, we find that x = 12/16 = 0.75.
-
Now that we know the value of x, we can find Q's share by multiplying the ratio of Q (which is 4) by x. So, Q's share is 4 * 0.75 = 3.
Therefore, Q's share is definitely 3.
Similar Questions
A sum of money is to be divided among P, Q and R in the ratio of 2 : 3 : 5. If the total share of P and R together is Rs 400 more than that of Q, what is R’s share in it?
A sum of money is to be distributed among A,B,C and D in the proportion 5 : 2 : 4 : 3. If C gets Rs.1000 more than D, then what is B’s share?Options :Rs.500Rs.1000Rs.2000None of these
A sum of money is divided among A, B, C and D in the ratio 3 : 5 : 7 : 11 respectively. If the share of C is Rs. 1668 more than the share of A, then what is the total amount of money of B and D together ?
Ratio of profits of P, Q and R are 5 : 8 : 9 respectively.What is their investment ratio if their investment time period ratio is 2 : 5 : 8 respectively?110 : 74 : 647 : 13 : 17100 : 64 : 4510 : 40 : 72
P, Q, R subscribe Rs.50,000 for a business.P subscribes Rs.4000 more than Q and Q Rs.5000 more than R.Out of a total profit of Rs. 25,000 and what will be P's share?Rs.8,400Rs.10,500Rs.13,600Rs.14,70
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.