The value of a machine depreciates at the rate of $10 \%$ every year. It was purchased $3$ years ago. If its present value is $₹ 8748$,its purchase price was:

If the height of a triangle is decreased by $40 \%$ and its base is increased by $30 \%$,what will be the effect on the area?

$A$ man loses $20 \%$ of his money. After spending $25 \%$ of the remainder,he has $Rs. 480$ left. What is the amount of money he originally had?

One type of liquid contains $20 \%$ water and the second type of liquid contains $35 \%$ water. $A$ glass is filled with $10$ parts of the first liquid and $4$ parts of the second liquid. What is the percentage of water in the new mixture in the glass?

Ram scored $30 \%$ marks and failed by $15$ marks. Aditya scored $40 \%$ marks and obtained $35$ marks more than those required to pass. What is the pass percentage (in $\%$)?

In Convent Model School,$60 \%$ of the students are boys. In an aptitude test,$80 \%$ of the girls scored more than $40$ marks (out of a maximum possible $150$ marks). If $60 \%$ of the total students scored more than $40$ marks in the same test,find the fraction of the boys who scored $40$ marks or less?