Question

13. After spending 65% of the amount he had Anand has Rs 1400 left with him
Find the amount he had in the beginning with him.​

Answer 1

➤ Given :-

Percent of amount spent :- 65%

Amount left after spending :- ₹1400

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➤ To Find :-

Amount he had at beginning

$\:$

★ How to do :-

Here, we are given with the percentage of amount spent and the amount left after spending some of his money. We should find the amount he had at the beginning. So, first we should find the percent of amount spent by subtracting 65 from 100, because percentage means out of 100. And then we can find the amount he had at beginning by taking a variable and then find the value of that by doing the transportation method. Let's do it!

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➤ Solution :-

Percent of amount left :-

${\tt \leadsto 100 - 65}$

${\tt \leadsto 35 \bf\%}$

$\:$

Now,

Amount he had at beginning :-

${\tt \leadsto 35 \bf\% \: \tt \: of \: \: (x) = 1400}$

${\tt \leadsto \dfrac{35}{100} \times (x) = 1400}$

${\tt \leadsto (x) = \dfrac{1400 \times 100}{35}}$

${\tt \leadsto \dfrac{\cancel{1400} \times 100}{\cancel{35}} = \dfrac{40 \times 100}{1}}$

${\tt \leadsto \cancel \dfrac{4000}{1} = \boxed{\tt Rs \: \: 4000}}$

$\Huge\therefore$ The amount he had at beginning was ₹4000.

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The formula used to calculate the percentage is

${\to \boxed{\tt \dfrac{Obtained \: value}{Total \: value} \times 100}}$

• The percentage can also be converted to fractions, decimals and ratio form.
• To convert fraction to percentage form, we should multiply the given fraction with 100.
• To convert decimal to percentage, first we should convert it to fractional form and then multiply it by 100.
• To convert ratio to percentage, first we should convert it to fractional form and then multiply it by 100.

Answer 2

Your answer is in given attachment.. Refer it.. ☺️