Question

A man spends 1/7th part of his income on food 1/2th part of remaining on clothes and 1/3rd part of remaining on entertainment. If he is left with Rs. 600, find his total income​

Answer 1

Step-by-step explanation:

Let man's salary be Rs. N

Money spend on food =N/7

Money spends on clothing = (N - N/7) x 1/2 = (6N/7) x (1/2) =3N/7

Money spend on entertainment = (N - N/7 - 3N/7)/3 = (7N - 4N)/7 = N/7

Now, money left =600

⇒ N - N/7 - 3N/7 - N/7 = 600

⇒ 7N - 5N/7 = 600

⇒ N = 600 x 7/2 = Rs. 2100

∴ Money spend on entertainment = 1/7 x 2100 = Rs. 300

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