Question

Of the ₹ 2,400 Mr. Amar earned, he spent ⅜ on food, ⅓ on taxes and ⅙ on other expenses. Find out how much all this is in rupees. How much did he save?

Answer 1

Answer:

he saved Rs. 300

$spent \: on \: food \: = \frac{3}{8} \\ spent \: on \: taxes = \frac{1}{3} \\ other \: expenses \: = \frac{1}{6} \\ \\ lcm \: of \: 8 \: 3 \:and \: 6 = 24 \\ \frac{3}{8} \times \frac{3}{3} = \frac{9}{24} \\ \frac{1}{3} \times \frac{8}{8} = \frac{8}{24} \\ \frac{1}{6} \times \frac{4}{4} = \frac{4}{24} \\ \\ add \: all \: these \: \\ \frac{9 + 8 + 4}{24} = \frac{21}{24} = \div 3 = \frac{7}{8} \\ \\ 2400 \times \frac{7}{8} \\ = 300 \times 7 \\ = 2100 \\ money \: saved \: = rs.2400 - rs.2100 = rs.300$

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