Question

The ratio of income of saving of a family is 11:2. Find the expenditive of the savings is rupees 1520.

Answer 1

Answer : Rs. 7600

$\rule{100}2$

Given :

• Ratio of income to savings = 11 : 2
• Saving = ₹ 1520

To Find :

• The expenditure

SolUtion :

Let common factor in their ratios be ' x '

So,

Income will be = 11x

Savings = 2x

There's nothing complicated, as savings are already given!

According to question

$\sf 2x = 1520$

$\sf x=\dfrac{1520}{2}$

$\sf\therefore x = 760$

Now,

Substitute the value of x in " 11x "

We get,

$\sf = 11 \times 760$

$\sf = 8360$

Expenditure :

$\tt Expenditure = \:Income-Savings$

$\sf Expenditure = 8360 - 760$

$\sf\therefore Expenditure = 7600$

$\rule{200}2$

Answer 2

$\huge{\bigstar{\underline{\underline{\mathfrak{\red{Solution}}}}}}$

$\text{\large{Let\: common\: factor\:in\: their\:ratios\:be\:'x'}}$

$\text{\large{So,}}$

$\sf{\large{\red{Income\:will\:be=11x}}}$

$\sf{\large{\red{Savings=2x}}}$

$\text{\large{\blue{There's\: nothing\: Complicated,\: as\: savings\:are\: already\: given.}}}$

$\sf{\blue{\large{According\: to\: the\: Question}}}$

$\tt{\large{\green{2x=1520}}}$

$\tt{\large{\green{x=\frac{1520}{2} }}}$

$\tt{\large{\green{x= 760}}}$

$\text{\large{Now,}}$

$\tt{\large{Substitute\: the\: value\:of\:x\:in\:"11"}}$

$\text{\large{We\:get}}$

$\bf{\large{11 \times 760}}$

$\bf{\large{8360}}$

$\text{\large{\orange{\underline{\underline{Expenditure}}}}}$

$\bf{8360-760}$

$\bf{7600}$

$\huge{\fbox{\fbox{\pink{\bold{Therefore\:7600}}}}}$

$<marquee>$

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