Question

A man spends 10% of his income in house rent 20% of the rest on his children's education 25% of the rest miscellaneous causes.If he now posses Rs.1944 then his income is?

Answer 1

Answer:

X * (90/100) * (80/100) * (75/100) = 1944

X * 0.9 * 0.8 * 0.75

X = 1944/0.54

X = 3600

Step-by-step explanation:

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Answer 2

Given :- A man spends 10% of his income in house rent 20% of the rest on his children's education 25% of the rest miscellaneous causes.

To Find :- If he now posses Rs.1944 then his income is ?

Solution :-

Let us assume that, the income of man is equal to Rs. 100x .

So,

→ Spends on house rent = 10% of 100x = (100x * 10)/100 = Rs. 10x

then,

→ Left income = 100x - 10x = Rs. 90x

now,

→ Spends on children's education = 20% of 90x = (20 * 90x)/100 = Rs. 18x

then,

→ Left income = 90x - 18x = Rs. 72x

now,

→ Spends on miscellaneous causes = 25% of 72x = (25 * 72x)/100 = Rs. 18x

then,

→ Left income = 72x - 18x = Rs. 54x

given that,

→ He posses = Rs. 1944

therefore,

→ 54x = 1944

→ x = (1944/54)

→ 100x = (1944/54) * 100 = Rs. 3600 (Ans.)

Hence, Income of man is equal to Rs. 3600 .

Shortcut :-

→ 10% spends on rent = Left 90% = (90/100) = (9/10)

→ 20% spends on children's education = Left 80% = (80/100) = (4/5)

→ 25% spends on miscellaneous causes = Left 75% (75/100) = (3/4)

→ Left amount = 1944

So,

→ Income = 1944 × (10/9) × (5/4) × (4/3)

→ Income = Rs. 3600 (Ans.)

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