A number is first increased by 162/3 % and then decreased by 15% to get 288. What is 37.5% of that number?

A number is first increased by 162/3 % and then decreased…

A number is first increased by ${16}{\dfrac{2}{3}}$ % and then decreased by 15% to get 288. What is 37.5% of that number?

Show answer & explanation

Correct answer: D

Explanation

Correct Answer is option 4 i.e. 90

Understanding	Application	Calculation
Number is first increased by ${16}{\dfrac{2}{3}}$ %	Suppose the number = x So, Increased number = 7x/6	16(2/3)% = 50/3% So, x + 50x/300 = 7x/6
Then the number is decreased by 15% to get 238.	7x/6 × 0.85 = 238 ⇒ x = 240	7x/6 × 0.85 = 238 ⇒ 5.95x = 1428 ⇒ x = 240
	Now, 37.5 % of x = 90	⇒ 0.375 × 240 ⇒ 3/8 × 240 ⇒ 90