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★Given:-
- A boy spends 1/3 of his money in a shop.
- He goes to another shop and spends 1/2 of what was left.
- He is left with ₹15.
★To find:-
- Total money he had.
★Solution:-
Let the total money he has = x
Given that,he spends 1/3 of his money in a shop.Therefore,
Money he spent in the shop:-
➜1/3 (x) = x/3
Money left:-
➜Total money - money he spent in the shop
➜x - x/3
➜(3x - x) /3
➜2x/3
Given,he goes to another shop and spends 1/2 of money left.Therefore,
Money spent:-
➜1/2 (2x/3)
➜ 2x/6
Money left:-
➜2x/3 - 2x/6
➜( 4x - 2x )/6
➜2x/6
➜x/3
Therefore,the remaining money is x/3.
Given that Remaining money is Rs.15
Therefore,
➜x/3 = 15
➜x = 45
Hence,the total money he has is Rs.45.
Option(B) is correct.
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