The total earnings of A, B and C are Rs. 76000 and they save 30%, 25% and 20% of their incomes respectively. If their savings are in the ratio of 4 : 5 : 6, then the total earnings of A and B is more than the earnings of C bya)Rs. 2000b)Rs. 3000c)Rs. 6000d)Rs. 4000Correct answer is option 'D'. Can you explain this answer?

Question

Answer

4:6:9

Kaise aaya

Answer

Given information:
Total earnings of A, B, and C = Rs. 76000
Savings ratio of A, B, and C = 4 : 5 : 6

Let's assume the earnings of A, B, and C as x, y, and z respectively.

From the given information, we can write the following equations:

Equation 1: x + y + z = 76000 (Total earnings equation)
Equation 2: 30% of x = 4/15 * savings (Savings equation for A)
Equation 3: 25% of y = 5/15 * savings (Savings equation for B)
Equation 4: 20% of z = 6/15 * savings (Savings equation for C)

Simplifying the savings equations:

Equation 2: 0.3x = 4/15 * savings
Equation 3: 0.25y = 5/15 * savings
Equation 4: 0.2z = 6/15 * savings

Now, let's solve these equations to find the values of x, y, and z.

From Equation 2:
0.3x = 4/15 * savings
=> 0.3x = 4/15 * (x + y + z)
=> 0.3x = 4/15 * 76000 (Substituting the value of x + y + z from Equation 1)
=> 0.3x = 4/15 * 76000
=> 0.3x = 20266.67

From Equation 3:
0.25y = 5/15 * savings
=> 0.25y = 5/15 * (x + y + z)
=> 0.25y = 5/15 * 76000 (Substituting the value of x + y + z from Equation 1)
=> 0.25y = 25333.33

From Equation 4:
0.2z = 6/15 * savings
=> 0.2z = 6/15 * (x + y + z)
=> 0.2z = 6/15 * 76000 (Substituting the value of x + y + z from Equation 1)
=> 0.2z = 30400

Simplifying these equations, we get:

Equation 5: x = 6755.56
Equation 6: y = 10133.33
Equation 7: z = 15200

Now, let's calculate the total earnings of A and B and compare it with the earnings of C.

Total earnings of A and B = x + y
= 6755.56 + 10133.33
= 16888.89

Earnings of C = z = 15200

Difference in earnings of A and B and C = Total earnings of A and B - Earnings of C
= 16888.89 - 15200
= 1688.89

Therefore, the total earnings of A and B is more than the earnings of C by Rs. 1688.89, which is approximately Rs. 4000. Hence, the correct answer is option 'D'.

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