Percentage - Study Mode

[#216] A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at Rs. 50 per kg, and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. He mixed all the three types of rice and sold all the stock at Rs. 62.56 per kg. His profit percent in the entire transaction is:
Correct Answer

(A) 8.8

Explanation

Solution: Rs. 55 per kg → 20 kg Rice Rs. 50 per kg → 25 kg Rice Rs. 60 per kg → 35 kg Rice 55 × 20 = Rs. 1100 50 × 25 = Rs. 1250 60 × 35 = $$underline {,{ ext{Rs}}{ ext{. 2100}},} $$ = Rs. 4450 + Rs. 150 Total Rice 80 kg → Rs. 4600 1 kg → Rs. 57.50 62.56 57.50 $$overline {,,,5.06,} $$ $$frac{{5.06}}{{57.5}}$$ xa0× 100 = 8.8%

[#217] The monthly salary of a person was Rs. 75,000. He used to spend on Family Expenses (E), Taxes (T), Charity (C) and rest were his savings. 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 became 30% of E and C became 20% of T. The ratio of the saving of his earlier salary to that of his present salary is:
Correct Answer

(A) 655 : 644

Explanation

Solution: Let total income = 100 E = 60 T = 12 C = 1.8 Saving = 100 - 73.8 = 26.2 After increase income = 140 E = 84 T = 25.2 C = 5.04 Saving = 140 - (114.24) = 25.76 Ratio = 26.2 : 25.76 = 2620 : 2576 = 655 : 644

[#218] If 49% of X = Y, then Y% of 50 is:
Correct Answer

(D) 24.5% of X

Explanation

Solution: $$eqalign{
& frac{{X imes 49}}{{100}} = Y cr
& frac{X}{Y} = frac{{100}}{{49}} cr
& 50 imes Y\% cr
& = frac{{2 imes 50 imes 49\% }}{2} cr
& = frac{{100 imes 49\% }}{2} cr
& = X imes 24.5\% cr} $$

[#219] In a class, if 60% of the students are boys and the number of girls is 36, then the number of boys is:
Correct Answer

(B) 54

Explanation

Solution: 40% → 36 20% → 18 60% → 54

[#220] When the price of an item was reduced by 20%, its sale increased by x%. If there is an increase of 25% in receipt of the revenue, then the value of x is:
Correct Answer

(C) 56.25

Explanation

Solution: $$20\% = frac{1}{5}$$ [x08egin{array}{*{20}{c}}
{}&{{ ext{Price}}}&{{ ext{Total}}}&{{ ext{Sales}}}&{} \
{{ ext{Old}} o }&5&{100}&{frac{{100}}{5}}&{ = 20} \
{{ ext{New}} o }&4&{125}&{frac{{125}}{4}}&{ ,,,,,,, = 31.25}
end{array}] $$eqalign{
& { ext{Increase in sale}} = 31.25 - 20 = 11.25 cr
& { ext{Increase }}\% = frac{{11.25}}{{20}} imes 100 = 56.25\% cr} $$