Question

A person spends 75% of his income if his income increases by 20% and expense increases by 15% his savings will increase by​

Answer 1

${\large{\mathfrak{\red{\underline{Given :}}}}}$

A person spends 75% of his income if his income increases by 20% and expense increases by 15%.

${\large{\mathfrak{\blue{\underline{To Find :}}}}}$

What will be his savings increased by.

${\large{\mathfrak{\orange{\underline{Solution :}}}}}$

${\maltese{\underline{\bf{Let \: us \: Assume \: that :}}}}$

${\sf{Previous \: income = Rs.100}}$

${\sf{Previous \: expenses = Rs.75}}$

${\sf{New \: income \: increased \: by \: 20 \: percent.}}$

Hence,

${\sf{New \: income = 100 + 20 = Rs.120}}$

${\sf{Expense \: increased \: by \: 15 \: percent= {\cancel\frac{75 \times 115}{100} }}}$

${\green{\mapsto{\red{\boxed{\bf{Rs.86.25}}}}}}$

Saving,

${\sf{New \: saving = 120 - 86.25 = 33.75}}$

${\sf{Earlier \: saving = 100 - 75 = 25}}$

${\sf{Increase \: in \: saving = {\cancel\frac{33.75 - 25}{25} \times 100 }}}</p><p>$

${\purple{\dashrightarrow{\red{\dag{\purple{\boxed{\pmb{\sf{35 percent.}}}}}}}}}$

${\maltese{\bf{\underline{So,}}}}$

The saving increase is 35%.

￣￣￣￣￣￣￣￣￣￣￣￣

Answer 2

Answer:                                                                                                                              % Increase in saving =12.525×100=50