Question

If a man earns rs. 805 per week, in how many days he will earn rs. 1840?

Answer 1

$\sf\underline{Step-by-step \: explanation}$

$\bold{Using \: Proportion \: method,}$

● Let the number of days be x.

● 1 week - 7 days

● Wage : Wage : : Days : Days

● 805... : .1840 : : 7...... : ....x

● Product of extremes = Product of means

● 805x = 1840 × 7

● $\tt\dfrac{1840\times\:7}{805}$

● x = 16

Hence, the days taken to earn Rs. 1840 is 16 days.

$\bold{Using \:another\:method,}$

● Money earned in 1 day = $\tt\dfrac{805}{7}$ (Rs. 115)

● Days needed to earn Rs. 1840 = $\tt\dfrac{805}{7}$ ÷ 1840

● $\tt\dfrac{805}{7}$ × $\tt\dfrac{1}{1840}$

{Reciprocal is taken out of the second number when a fraction is to be divided}

Hence, the days taken is,

16 Days