Percentage - Study Mode
[#426] Solve this : 85% of 485.5 = 50% of ?
Correct Answer
(C) 825.35
Explanation
Solution: Lets 85% of 485.5 = 50% of x Then, $$eqalign{
& Rightarrow left( {frac{{85}}{{100}} imes 485.5}
ight) = frac{{50x}}{{100}} cr
& Rightarrow frac{x}{2} = 412.675 cr
& Rightarrow x = 825.35 cr} $$
[#427] Vinay decided to donate 5% of his salary. On the day of donation he changed his mind and donated Rs. 1687.50, which was 75% of what he had decided earlier. How much is Vinay's salary ?
Correct Answer
(C) Rs. 45000
Explanation
Solution: Let Vinay's salary be Rs. $$x$$ Then, 75% of 5% of $$x$$ = 1687.50 ⇒ $$frac{75}{100}$$ × $$frac{5}{100}$$ × $$x$$ = 1687.50 ⇒ $$x$$ = $$left( {frac{{1687.50 imes 100 imes 100}}{{75 imes 5}}}
ight)$$ ⇒ $$x$$ = 45000
[#428] 64% of a number is 2592. What is 88% of that number ?
Correct Answer
(C) 3564
Explanation
Solution: Let the number be x Then, 64% of x = 2592 ⇒ $$frac{64x}{100}$$ = 2592 ⇒ x = $$left( {frac{{2592 imes 100}}{{64}}}
ight)$$ ⇒ x = 4050 ∴ 88% of 4050 : = $$left( {frac{{88}}{{100}} imes 4050}
ight)$$ = 3564
[#429] Rajan got 76 percent marks and Sonia got 480 marks in a test. The maximum marks of the test equal to the marks obtained by Rajan and Sonia together. How many marks did Rajan score in the test ?
Correct Answer
(B) 1520
Explanation
Solution: Let the maximum marks be $$x$$ Then, 76% of $$x$$ + 480 = x ⇒ $$x$$ - 76% of $$x$$ = 480 ⇒ 24% of $$x$$ = 480 ⇒ $$frac{24x}{100}$$ = 480 ⇒ $$x$$ = $$left( {frac{{480 imes 100}}{{24}}}
ight)$$ ⇒ $$x$$ = 2000 ∴ Marks score by Rajan : = 76% of 2000 = $$left( {frac{{76}}{{100}} imes 2000}
ight)$$ = 1520
[#430] 30% of 28% of 480 is the same as
Correct Answer
(D) None of these
Explanation
Solution: Clearly, 60% of 28% of 240 : $$eqalign{
& = left( {frac{{60}}{{100}} imes frac{{28}}{{100}} imes 240}
ight) cr
& = left( {frac{{30}}{{100}} imes frac{{28}}{{100}} imes 2 imes 240}
ight) cr
& = left( {frac{{30}}{{100}} imes frac{{28}}{{100}} imes 480}
ight) cr
& = 30\% ,,{ ext{of}},,285\% ,,{ ext{of}},,480 cr} $$