Question

1.40% of 90% of Rs. 900 is: (in Rs.)
(A) 300
(B) 350
(C) 324
(D) 325​

Answer 1

Answer :-

40% of 90% of Rs. 900 [in Rs.] is Rs. 324.

Step-by-step explanation:

To Find :-

• 40% of 90% of Rs. 900

Solution:

$\sf{\longrightarrow \: 40\% \: of \: 90\% \: of \: 900}$

$\sf{\longrightarrow \: 40\% \times 90\% \times 900}$

$\sf{\longrightarrow \: \dfrac{40}{100} \times \dfrac{90}{100} \times 900}$

$\sf{\longrightarrow \: \dfrac{40}{100} \times \dfrac{90}{1 \not{0} \not{0}} \times 9 \not{0} \not{0}}$

$\sf{\longrightarrow \: \dfrac{40}{100} \times \dfrac{90}{1} \times 9}$

$\sf{\longrightarrow \: \dfrac{4 \not{0}}{1 \not{0} \not{0}} \times \dfrac{9 \not{0}}{1} \times 9}$

$\sf{\longrightarrow \: 4 \times 9 \times 9}$

$\sf{\longrightarrow \: 4 \times 81}$

$\sf{\longrightarrow \: 324 \: \bigstar}$

Hence, 40% of 90% of Rs. 900 is Rs. 324.

V E R I F I C A T I O N :-

$\textsf{ \textbf{\dag}} \: \: \: \: \boxed{ \sf{40\% \: \: of \: \: 90\% \: \: of \: \: 900 = 324}}$

By simplifying, the L.H.S

$\sf{\longrightarrow \: 40\% \times 90\% \times 900}$

$\sf{\longrightarrow \: \dfrac{40}{100} \times \dfrac{90}{100} \times 900}$

$\sf{\longrightarrow \: \dfrac{40 \times 90 \times 90}{100 \times 100}}$

$\sf{\longrightarrow \: \dfrac{3240000}{10000}}$

$\sf{\longrightarrow \: \cancel{\dfrac{3240000}{10000}}}$

$\sf{\longrightarrow \: 324}$

Now, L.H.S = R.H.S = 324

Hence, Verified!