Question

Of the total amount received by krian, 20% was spent on purchases and 5% of the remaining on transportation. If he is left with rs.1520, the initial amount was

Answer 1

Question :-

Of the total amount received by krian, 20% was spent on purchases and 5% of the remaining on transportation. If he is left with rs.1520, the initial amount was...?

Answer:-

→ Initial amount is ₹2000.

Step - by - step explanation:-

Let the initial amount (selling price ) is "x",

According to the question,

$\: cost \: price = 20\% \: of \: x \: \\ \\ \: = > \: 20 \times x \times \frac{1}{100} \\ \\ \: \: \red{cost \: price \: = > 0.2x}$

Remaining = 100% - 20% = 80% = 0.8

=> 0.8× 0.5 = 0.04

Hence,

$\implies \: \bf{x - 0.2x - 0.04x = 1520 }\\ \\ \implies \bf{ x - 0.24x = 1520} \\ \\ \implies \: \bf{ 0.76x = 1520} \\ \\ \implies \: \bf{x = \frac{1520}{0.76} } \\ \\ \implies \: \boxed{ \bf{ x = 2000}}$

Therefore ,initial amount is ₹2000.