Question

What will come in place of the question mark (?) in the following questions?

116 x (2/3)% of 420 + 666 x (2/3)% of 186 = 457 x (1/7)% of 126 + 555 x (5/9)% of 198 + ?

A 73 Correct Answer Incorrect Answer
B 81 Correct Answer Incorrect Answer
C 93 Correct Answer Incorrect Answer
D 54 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Value of 100% = 1 116 x (2/3)% = 100% + 16 x (2/3)% = 1 + (1/6) = 7/6 666 x (2/3)% = 600% + 66 x (2/3)% = 6 + (2/3) = 20/3 457 x (1/7)% = 400% + 57 x (1/7)% = 4 + (4/7) = 32/7 555 x (5/9)% = 500% + 55 x (5/9)% = 5 + (5/9) = 50/9 Now,   116 x (2/3)% of 420 + 666 x (2/3)% of 186 = 457 x (1/7)% of 126 + 555 x  (5/9)% of 198 + ? (7/6) × 420 + (20/3) × 186 = (32/7) × 126 + (50/9 )× 198+ ? 490 + 1240 = 576 + 1100 + ? ? = 54

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