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Percentage - Aptitude MCQ Questions and Solutions with Explanations

Percentage MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Percentage with easy and logical explanations. Percentage MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-9 section-6

Each section contains 100 MCQs on Percentage .
81
If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage (correct to the nearest integer) more than (x - 10)% of 780?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & 110 \times \frac{{\left( {100 - x} \right)}}{{100}} = 50 \times \frac{{\left( {100 + x} \right)}}{{100}} \cr & 11\left( {100 - x} \right) = 5\left( {100 + x} \right) \cr & 1100 - 11x = 500 + 5x \cr & 16x = 600 \cr & x = \frac{{800}}{{16}} = \frac{{75}}{2} = 37\frac{1}{2}\% \cr & {\text{Now,}} \cr & {\text{650}} \times \frac{{75}}{{200}} \to 780 \times \frac{{55}}{{200}} \cr & \frac{{25}}{2} \to 11 \cr & 25 \to 22 \cr & = \frac{3}{{22}} \times 100 = 14\% \cr} $$
82
If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x, then the value of x lies between:
Discuss
Answer & Solution
Answer: Option A
Solution:
400 × 25% + 1260 × 35% + 180 × 27% = 1020 + x
100 + 441 + 486 = 1020 + x
1027 = 1020 + x
x = 7
83
The monthly salary of a person was Rs. 50,000. He used to spend on family expenses (E), Taxes (T), Charity (C), and the rest were his saving. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T becomes 30% of E and C becomes 20% of T. The difference between the two savings (in Rs.) is:
Discuss
Answer & Solution
Answer: Option B
Solution:
Income = Rs. 50,000
\[\begin{array}{*{20}{c}} {{\text{Income}}}& = &{50,000}&{70,000} \\ {}&{}&{\,\,\,\,\,\, \downarrow 60\% }&{\,\,\,\,\,\, \downarrow 60\% } \\ {{\text{Expenses}}}& = &{30,000}&{42,000} \\ {}&{}&{\,\,\,\,\,\, \downarrow 20\% }&{\,\,\,\,\,\, \downarrow 30\% } \\ {{\text{Tax}}}& = &{6,000}&{12,600} \\ {}&{}&{\,\,\,\,\,\, \downarrow 15\% }&{\,\,\,\,\,\, \downarrow 20\% } \\ {{\text{Charity}}}& = &{900}&{2,520} \\ {{\text{Saving}}}& = &{\overline {\underline {\,\,13,100\,\,} } }&{\overline {\underline {\,\,12,880\,\,} } } \end{array}\]
Difference the savings
= Rs. 13,100 - Rs. 12,880 = Rs. 220
84
Raju spends 10 percent and 20 percent of his income on transport and food respectively. He spends 30 percent of the remaining income on clothing. He saves rest of his income. If his saving is Rs. 26460, then what will be total expenditure on food and clothing together?
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{Let, total income is }}100 \cr & {\text{Transport costs}} = 100 \times \frac{{10}}{{100}} = 10 \cr & {\text{Food costs}} = 100 \times \frac{{20}}{{100}} = 20 \cr & {\text{Remain}} = 100 - \left( {20 + 10} \right) = 70 \cr & {\text{Clothes costs}} = 70 \times \frac{{30}}{{100}} = 21 \cr & {\text{Saving}} = 100 - \left( {10 + 20 + 21} \right) = 49 \cr & {\text{Cost on food and clothes}} = 20 + 21 = 41 \cr & 49 \to 26460 \cr & 1 \to 540 \cr & \therefore 41 \to 540 \times 41 = {\text{Rs}}{\text{. }}22,140 \cr} $$