Divide rs.2430 among there persons a, b, c so that if their shares be diminished by rs.5,rs.10,rs.15, respectively, the remainder shall be in the ratio of 3:4:5
Answers
Answer:
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Step-by-step explanation:
us first find the remainder by subtracting the diminished share from the total amount as shown below:
Remainder=2430-(5+10+15)=2430-30==2430−(5+10+15)=2430−30= Rs.24002400
Now it is given that the remainder is in the ratio 3:4:53:4:5, therefore, the shares of A,BA,B and CC are as follows:
A's Share=\left( 2400\times \dfrac { 3 }{ 12 } \right) +5=(200\times 3)+5=600+5=605=(2400×
12
3
)+5=(200×3)+5=600+5=605
B's Share=\left( 2400\times \dfrac {4 }{ 12 } \right) +10=(200\times 4)+10=800+10=810=(2400×
12
4
)+10=(200×4)+10=800+10=810
C's Share=\left( 2400\times \dfrac { 5 }{ 12 } \right) +15=(200\times 5)+15=1000+15=1015=(2400×
12
5
)+15=(200×5)+15=1000+15=1015
Hence, the shares of A,BA,B and CC
Answer:
Step-by-step explanation:
Let share of A,B and C be Rs.(3x+5),(4x+10) and (5x+15)
Then Total amount=3x+5+4x+10+5x+15⇒12x+30
According to the question
⇒12x+30=2430
⇒12x=2400
⇒x=200
B'share=4x+10⇒4×200+10=810Rs.