Question

a women worker carns R 18000 in 15 months How much does she earn in 7 months In how many months will she earns Rs 30,000.​

Answer 1

Answer:

A woman worker earns Rs 18000 in 15 months.in how many months will she earn Rs 30,000. therefore, she will earn 30,000 in 25 months.

Step-by-step explanation:

A worker earns Rs.18,000 in 15 months.

(a) How much will the worker earn in 7 months?

(b) In how many months will he earn Rs.3,600?



Answer

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Hint: We solve this problem by first acknowledging that the number of months the worker has worked is proportional to the amount he earns. Then we use the property of proportionality, if x and y are proportional, then 

xy=constantxy=constant

. Then we use it to find the relation between the number of months and the amount the worker earned. Then we use this relation and substitute the given values and solve them to find the required values in each subpart.

Complete step-by-step solution

We are given that a worker earns Rs.18,000 in 15 months.

As we see if the worker works for more months then the amount he earns increases, that is if the number of months increases then the earning of the worker increases.

So, we can say that Number of months is proportional to the amount earned by the worker.

Now, let us consider the property of proportionality, if x and y are proportional, then

xy=constantxy=constant

So, using this, we get that,

⇒Number of monthsAmount earned by the worker=constant⇒Number of monthsAmount earned by the worker=constant

(a) How much will the worker earn in 7 months?

From above we have the formula,

⇒Number of monthsAmount earned by the worker=constant⇒Number of monthsAmount earned by the worker=constant

Now, as we are given that the worker earns Rs.18,000 in 15 months, we can write it as,

⇒Number of monthsAmount earned by the worker=1518000

Number of months3600=1518000⇒Number of months=1518000×3600⇒Number of months=5400018000⇒Number of months=3

Answer 2

GIVEN,

          TOTAL MONEY EARNED IN 15 MONTHS = ₹18000

          TOTAL MONEY EARNED IN 1 MONTHS = ₹18000/15

ATQ,

       TOTAL MONEY EARNED IN 7 MONTHS = ₹18000/15 x 7

                                                                             = ₹8400

WE KNOW THAT,

                       MONEY EARNED IN 1 MONTHS = ₹18000/15

                                                                                = ₹1200

ATQ,

       ₹30000 CAN BE EARNED IN 30000/1200 MONTHS

                                                      i.e 12 MONTHS