Question

Suri gave 25% of her monthly salary to
her mother. From the remaining salary,
she paid 15% towards rent and 25%, she
kept aside for her monthly expenses.
The remaining amount she kept in bank
account. The sum of the amount she
kept in bank and that she gaye to her
mother was 42000. What was her
monthly salary?
[SBI PO (Pre) 2016]
(a) * 50000 (b) * 60000
(c) * 65000 (d) 7 64000
(e) * 72000


please solve with easy steps​

Answer 1

$\huge\underline{\underline{\texttt{{Question:}}}}$

Suri gave 25% of her monthly salary to her mother. From the remaining salary,she paid 15% towards rent and 25%, she kept aside for her monthly expenses.The remaining amount she kept in bank account. The sum of the amount she kept in bank and that she gaye to her mother was 42000. What was her monthly salary?

• a) 50000
• b) 60000
• c) 65000
• d) 764000
• e) 72000

$\huge\underline{\underline{\texttt{{Solution:}}}}$

• Option b)60000

$\huge\underline{\underline{\texttt{{Given:}}}}$

• Suri gave 25% of her monthly salary to her mother.
• she paid 15% towards rent and 25%, she kept aside for her monthly expenses.

$\huge\underline{\underline{\texttt{{To\:Find:}}}}$

• Suri's monthly salary

$\huge\underline{\underline{\texttt{{Method:}}}}$

$\small\bold{let \: say \: suri \: monthly \: salary \: = 100s \: Rs}$

$\small\bold{suri \: gave \: 25\% \: of \: her \: monthly \: salary \: to \: her \: mother}$

$\small\bold{ = amount \: given \: to \: her \: mother = \frac{25}{100} \times 100 = 25s \: Rs }$

$\small\bold\blue{remaining \: amount = 100s \: - \: 25s} \\ \small\bold\blue{ = 75s \: Rs}$

$\small\bold{from \: the \: remaining \: salary \: she \: paid \: 15\% \: towards \: rent \: and \: 25\% \: she \: kept \: aside \: for \: her \: montly \: expenses}$

$\small\bold{ = 15 + 25 = 40\%}$

$\small\bold{40\% \: of \: 75s = \frac{40}{100} \times 75s = 30s \: Rs }$

$\small\bold\blue{remaining \: amount = 75s - 30s = 45s \: Rs}$

$\small\bold{amount \: kept \: in \: bank = 45s}$

$\small\bold{45s + 25s = 70s = 42000}$

$\implies\small\bold{s = 600}$

$\implies\small\bold{100s = 60000}$

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