Question Details

Each of A, B, C and D has ₹ 100. A pays ₹ 20 to B, who pays ₹ 10 to C, who gets ₹ 30 from D. In this context, which one of the following statements is not correct?

Options

A

C is the richest.

B

D is the poorest.

C

C has more than what A and D have together,

D

B is richer than D.

Show Answer

Correct Answer :

Option C

C has more than what A and D have together,

Solution :

The correct option is: "C has more than what A and D have together,"

To determine which statement is not correct, let us calculate the final amount of money each person has by tracking the transactions step-by-step.

1. Initial Amounts:
Initially, each of the four individuals (A, B, C, and D) has ₹ 100.
A = ₹ 100
B = ₹ 100
C = ₹ 100
D = ₹ 100

2. Transaction 1: A pays ₹ 20 to B
A's balance decreases by ₹ 20, and B's balance increases by ₹ 20.

A's new balance = 100-20=80

B's new balance = 100+20=120

3. Transaction 2: B pays ₹ 10 to C
B's balance decreases by ₹ 10, and C's balance increases by ₹ 10.

B's final balance = 120-10=110

C's new balance = 100+10=110

4. Transaction 3: C gets ₹ 30 from D
C's balance increases by ₹ 30, and D's balance decreases by ₹ 30.

C's final balance = 110+30=140

D's final balance = 100-30=70

Summary of Final Balances:
A = ₹ 80
B = ₹ 110
C = ₹ 140
D = ₹ 70

Now, let us evaluate each statement in the options:

1. "C is the richest."
Comparing the balances: C (₹ 140) > B (₹ 110) > A (₹ 80) > D (₹ 70). Since C has the highest amount, this statement is correct.

2. "D is the poorest."
Since D has the lowest amount (₹ 70), this statement is correct.

3. "B is richer than D."
B has ₹ 110 and D has ₹ 70. Since 110 > 70, this statement is correct.

4. "C has more than what A and D have together,"
Let us find the total amount A and D have together:

A + D = 80+70=150

C has ₹ 140. Comparing C's balance with the combined balance of A and D:

140<150

Since ₹ 140 is less than ₹ 150, C does not have more than what A and D have together. Therefore, this statement is not correct.

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