Four friends jointly bought a plot worth Rs.5,60,000.For every 7 rupees Ajay paid, Bhanu paid 15 rupees and for every 5 rupees Bhanu paid, Chandu paid 12 rupees.The amount paid by Chandu and Deepak are in the ratio of 2:3.How much amount did Chandu spend on purchasing the plot?
Question
Four friends jointly bought a plot worth Rs.5,60,000.For every 7 rupees Ajay paid, Bhanu paid 15 rupees and for every 5 rupees Bhanu paid, Chandu paid 12 rupees.The amount paid by Chandu and Deepak are in the ratio of 2:3.How much amount did Chandu spend on purchasing the plot?
Solution
To solve this problem, we need to follow these steps:
Step 1: Let's assume the amount paid by Ajay, Bhanu, Chandu, and Deepak as A, B, C, and D respectively.
Step 2: From the problem, we know that for every 7 rupees Ajay paid, Bhanu paid 15 rupees. So, we can write this as B = 15/7 A.
Step 3: Similarly, for every 5 rupees Bhanu paid, Chandu paid 12 rupees. So, we can write this as C = 12/5 B.
Step 4: We also know that the amount paid by Chandu and Deepak are in the ratio of 2:3. So, we can write this as C/D = 2/3 or D = 3/2 C.
Step 5: The total amount paid by all four friends is Rs.5,60,000. So, we can write this as A + B + C + D = 5,60,000.
Step 6: Now, we can substitute the values of B, C, and D from steps 2, 3, and 4 into the equation from step 5. This gives us A + 15/7 A + 12/5 * 15/7 A + 3/2 * 12/5 * 15/7 A = 5,60,000.
Step 7: Solving this equation will give us the value of A, which is the amount paid by Ajay.
Step 8: Once we have the value of A, we can substitute it back into the equations from steps 2, 3, and 4 to find the values of B, C, and D, which are the amounts paid by Bhanu, Chandu, and Deepak respectively.
Step 9: The value of C will be the amount paid by Chandu, which is what the problem is asking for.
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