Question

IS
1 In a certain month, the total income of A, B,
644000. In that month, Aspends 75% of his
income, B spends 80% of his income, C spends
62.5% of his income. The ratio of the amounts spent
by A, B, C in that month is 42 : 64 : 55. Find the
income of A in the month. detail explanation required​

Answer 1

Given :- In a certain month, the total income of A, B and C is Rs.644000. In that month, A spends 75% of his income, B spends 80% of his income, C spends 62.5% of his income. The ratio of the amounts spent by A, B, C in that month is 42 : 64 : 55. Find the income of A in the month. ?

Solution :-

Let us assume that,

• A spends = Rs.42x .
• B spends = Rs.64x .
• C spends = Rs.55x .

So,

→ 75% of A income = Rs.42x

then,

→ 100% of A income = (42x/75) * 100 = Rs.56x .

Similarly,

→ 80% of B income = Rs.64x

then,

→ 100% of B income = (64x/80) * 100 = Rs.80x .

and,

→ 62.5% of C income = Rs.55x

then,

→ 100% of C income = (55x/62.5) * 100 = Rs.88x .

therefore,

→ 56x + 80x + 88x = 644000

→ 224x = 644000

→ x = (644000/224)

→ 56x = (644000/224) * 56 = Rs.161,000

Hence, The Monthly income of A is Rs.161,000 .

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