Rs. 9,500 is divided among three friends A, B and C such that B gets 75% of the amount that A gets and the ratio between A and C's shares is 8:5. The amount (in Rs.) that B gets is:
- A4,000
- B3,000
- C6,000
- D2,500
Solution & Step-by-step Explanation
Step 1: Establish the ratios between the shares.
Given that B gets 75% of A:
A
B
=75%=
4
3
⟹B:A=3:4
We can rewrite this as A:B=4:3.
Given that the ratio between A and C is 8:5:
A:C=8:5
Step 2: Combine the ratios by making the value of A common.
Multiply A:B=4:3 by 2:
A:B=8:6
Now we can combine them into a single continuous ratio:
A:B:C=8:6:5
Step 3: Calculate B's share from the total amount of Rs. 9,500.
Sum of ratio parts=8+6+5=19
B’s share=
19
6
×9500=6×500=Rs. 3000
Given that B gets 75% of A:
A
B
=75%=
4
3
⟹B:A=3:4
We can rewrite this as A:B=4:3.
Given that the ratio between A and C is 8:5:
A:C=8:5
Step 2: Combine the ratios by making the value of A common.
Multiply A:B=4:3 by 2:
A:B=8:6
Now we can combine them into a single continuous ratio:
A:B:C=8:6:5
Step 3: Calculate B's share from the total amount of Rs. 9,500.
Sum of ratio parts=8+6+5=19
B’s share=
19
6
×9500=6×500=Rs. 3000