Question

A's salary increased by 12% over last year
and has become 6720. If it increased by
20% over last year's salary, then the next
salary will be
(a) 8000
(b) 8064
(c) 7500
(d) 7200​

Answer 1

Answer:

• Increased Salary = 6720
• Increase percent = 12%
• Old Salary = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf New=Old \times (100+Increase)\%\\\\\\:\implies\sf 6720=Old \times (100+12)\%\\\\\\:\implies\sf 6720 = Old \times 112\%\\\\\\:\implies\sf 6720 = Old \times \dfrac{112}{100}\\\\\\:\implies\sf 6720 \times \dfrac{100}{112} = Old\\\\\\:\implies\sf 60 \times 100 = Old\\\\\\:\implies\sf Old = 6000$

$\rule{200}{1}$

• Old Salary = 6000
• Increase percent = 20%
• New Salary = ?

$\underline{\bigstar\:\textsf{According to the second part :}}$

$:\implies\sf New=Old \times (100+Increase)\%\\\\\\:\implies\sf New=6000 \times (100+20)\%\\\\\\:\implies\sf New =6000 \times 120\%\\\\\\:\implies\sf New = 6000 \times \dfrac{120}{100}\\\\\\:\implies\sf New=60 \times 120\\\\\\:\implies\sf New=7200$

⠀

$\therefore\:\underline{\textsf{Hence, Salary next year will be (d) \textbf{7200}}}.$