in buying a readymade shirt, two fifth of my pocket money is spent. if rupees 540 is still left with me , find ;
(1) the money I have before buying the shirt.
(2) the cost of the shirt
please answer step by step
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Answer:
1.) The total money is Rs. 1350.
2.) The cost of the shirt is Rs. 810.
Step-by-step explanation:
1.) The money left is 2/5 th of the total money.
So, money spent on the shirt = Total - 2/5
=> 1 - 2/5 => 5/5 - 2/5 => 3/5 th of money was spent on shirt.
Now, the money left is Rs. 540 and it is given that Rs. 540 is 2/5 th of the total money.
Let total money be x.
So, (2/5)x = 540
∴ x = 540 ÷ 2/5 (Signs change to their inverse while switching sides in an equation)
=> 540(5/2) (Dividing by a number is the same as multiplying by its reciprocal)
=> (540/2)*5 => 270*5 => Rs. 1350 is total money.
2.) As the money left is Rs. 540 and the total money is Rs. 1350, the cost of the shirt = 1350 - 540 => Rs. 810.
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