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ALOK KUMAR SINGH

· started a discussion

· 1 Months ago

x = 400 15x = Rs. 6000 Income = Rs. 6000 (Question:705204.0)



x = 400

15x = Rs. 6000 ( tell me something of this question hints because concepts not clear .. then How to came 6000

Income = Rs. 6000

Question:

A man spends \(\cfrac{1}{3}\) of his income on food, \(\cfrac{2}{5}\) of his income on house rent and \(\cfrac{1}{5}\) of his income on clothes. If he still has Rs. 400 left with him, his income is:

Options:
A)

Rs.4000

B)

Rs.5000

C)

Rs.6000

D)

Rs.7000

Solution:

Ans: (c)

Let total income is 15x (LCM of 3 and 5)

Spend on food =  \(\cfrac{1}{3}\) × 15x = 5x

Spend on rent =  \(\cfrac{2}{5}\)× 15x = 6x

Spend on clothes = \(\cfrac{1}{5}\)× 15x = 3x

Income left = 15x – (5 + 6 + 3)x

= 15x –14x = x

x = 400

15x = Rs. 6000

Income = Rs. 6000

Knowledge Expert

· commented

· 1 Months ago

Dear student,
It's quite clear from the question that
Income left = 15x – (5 + 6 + 3)x

= 15x –14x = x

x = 400

15x = Rs. 6000

Income = Rs. 6000
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