Percentage
- In a village panchayat society 574 names are enlisted as ‘below poverty level’. If 14% of the villagers are below poverty level, the total number of villagers is
-
View Hint View Answer Discuss in Forum
Let the total population of village be x.
According to the question,x × 14 = 574 100 ⇒ x = 574 × 100 = 4100 14 Correct Option: A
Let the total population of village be x.
According to the question,x × 14 = 574 100 ⇒ x = 574 × 100 = 4100 14
- A number, on subtracting 15 from it, reduces to its 80%. What is 40% of the number?
-
View Hint View Answer Discuss in Forum
If the number be ₹ x, then
x – 15 = 4x 5
⇒ 5x – 75 = 4x ⇒ x = 75∴ 40% of 75 = 75 × 40 = 30 100 Correct Option: C
If the number be ₹ x, then
x – 15 = 4x 5
⇒ 5x – 75 = 4x ⇒ x = 75∴ 40% of 75 = 75 × 40 = 30 100
- A reduction of 21% in the price of an item enables a person to buy 3 kg more for ₹ 100. The reduced price of item per kg is
-
View Hint View Answer Discuss in Forum
Original price of article = ₹ x per kg.
New price = ₹ 79x per kg 100 ∴ 100 - 100 = 3 79x x 100 ⇒ 10000 - 100 = 3 79x x ⇒ 10000 - 7900 = 3 79x ⇒ 2100 = 3 79x ⇒ 700 = 1 79x
⇒ 79x = 700⇒ x = 700 79 ∴ New price = 79x = 79 × 700 = ₹ 7 per kg 100 100 79
Aliter : Using Rule 31,
Reduced price per kg.= 21 × 100 = ₹ 7 100 × 3 Correct Option: D
Original price of article = ₹ x per kg.
New price = ₹ 79x per kg 100 ∴ 100 - 100 = 3 79x x 100 ⇒ 10000 - 100 = 3 79x x ⇒ 10000 - 7900 = 3 79x ⇒ 2100 = 3 79x ⇒ 700 = 1 79x
⇒ 79x = 700⇒ x = 700 79 ∴ New price = 79x = 79 × 700 = ₹ 7 per kg 100 100 79
Aliter : Using Rule 31,
Reduced price per kg.= 21 × 100 = ₹ 7 100 × 3
- A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kg more for Rs. 160. Then the price per kg before reduction was
-
View Hint View Answer Discuss in Forum
Let the original price of sugar be Rs. x per kg.
Reduced price= Rs 80x = Rs. 4x per kg. 100 5
According to the question,160 - 160 = 8 4x x 5 ⇒ 40 × 5 - 160 = 8 x x ⇒ 200 - 160 = 8 x x ⇒ 40 = 8 x
⇒ 8x = 40⇒ x = 40 = 5 per kg 8
Reduced Price= 4x = 4 × 5 = Rs. 4 per kg 5 5
Aliter : Using Rule 31,
Reduced price per kg.= 21 × 160 = Rs. 4 100 × 8 Correct Option: A
Let the original price of sugar be Rs. x per kg.
Reduced price= Rs 80x = Rs. 4x per kg. 100 5
According to the question,160 - 160 = 8 4x x 5 ⇒ 40 × 5 - 160 = 8 x x ⇒ 200 - 160 = 8 x x ⇒ 40 = 8 x
⇒ 8x = 40⇒ x = 40 = 5 per kg 8
Reduced Price= 4x = 4 × 5 = Rs. 4 per kg 5 5
Aliter : Using Rule 31,
Reduced price per kg.= 21 × 160 = Rs. 4 100 × 8
- The price of an item was increased by 10%. This reduced the monthly total sales by 20%. The overall effect on the value of monthly sales is a
-
View Hint View Answer Discuss in Forum
Required percentage change
= 
10 - 20 + 10 × (-20) 
% 100
= –12% Negative sign shows decrease.
Aliter : Using Rule 4,
Required percentage= 10 - 20 - 10 × 20 = (–10 – 2) = 12% decrease. 100 Correct Option: D
Required percentage change
= 10 - 20 + 10 × (-20) % 100
= –12% Negative sign shows decrease.
Aliter : Using Rule 4,
Required percentage= 10 - 20 - 10 × 20 = (–10 – 2) = 12% decrease. 100
