An amount was divided among two persons. 3/4 of the total amount received by first person is Rs.4 more than 4/5 of the total amount received by the second person. Find the total amount divided among two person
Answers
Answer:
Ratio of amount of money = 4 : 5 : 7
Step-by-step explanation:
Amount of A and B = Rs. 1000 more than C
Calculation:
Let the amount received by A and B and C be 4x and 5x and 7x respectively
⇒ (4x + 5x) = 1000 + 7x
⇒ 9x = 1000 + 7x
⇒ 2x = 1000
⇒ x = 500
Required amount received by A and B together = (4 × 500 + 5 × 500)
⇒ (2000 + 2500)
⇒ Rs. 4500
∴ Total amount received by A and B = Rs. 4500
Solution :-
Let us assume that, the total amount recieved by first person is Rs.4x and total amount recived by second person is equal to Rs.5y .
A/q,
→ (3/4) of total amount received by first person = 4/5 of the total amount received by the second person + 4
→ (3/4) * 4x = (4/5) * 5y + 4
→ 3x = 4y + 4
→ 3x - 4y = 4
given data is insufficient to solve the problem .
and if we take total amount as Rs. x and say first person recieved (3/4) of x .
then,
→ (3x/4) = (4x/5) + 4
→ (3x/4) - (4x/5) = 4
→ (15x - 16x)/20 = 4
→ (-x/20) = 4
here ,
→ x = (-80) . since value is in negative . Not possible .
_______
If it is given that Total amount is an integer.) Let total amount divided is Rs. x and amount recived by first person is Rs. y .
so,
→ (3y/4) = 4(x - y)/5 + 4
→ 3y/4 - 4(x - y)/5 = 4
→ 15y - 16x + 16y/20 = 4
→ 31y - 16x = 80
→ (31y - 80)/16 = x .
x = 57, y = 32
______
Complete Question :- An amount was divided among two persons. 3/4 of the total amount received by first person is Rs.4 less than 4/5 of the total amount received by the second person. Find the total amount divided among two persons
1) Rs.60
2) Rs.40
3) Rs.80
4) Rs.70
Solution :-
Let total amount divided is Rs. x .
so,
→ (3/4) of x + 4 = (4/5) of x
→ (4x/5) - (3x/4) = 4
→ (16x - 15x)/20 = 4
→ x/20 = 4
→ x = Rs.80 (Option 3) (Ans.)
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