Percentage
- A reduction in the price of apples enables a person to purchase 3 apples for 1 instead of 1.25. What is the % of reduction in price (approximately) ?
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Using Rule 1,
Percentage decrease= 0.25 × 100 = 20% 1.25 Correct Option: A
Using Rule 1,
Percentage decrease= 0.25 × 100 = 20% 1.25
- The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for ₹ 837. The reduced price per kg of sugar is
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10 per cent of ₹ 837
= 10 × 837 = ₹ 83.7 100
∴ Reduced per kg price= 83.7 = ₹ 13.50 6.2
Aliter : Using Rule 31,
Reduced price per kg= 10 × 837 = ₹ 13.50 100 × 6.2 Correct Option: C
10 per cent of ₹ 837
= 10 × 837 = ₹ 83.7 100
∴ Reduced per kg price= 83.7 = ₹ 13.50 6.2
Aliter : Using Rule 31,
Reduced price per kg= 10 × 837 = ₹ 13.50 100 × 6.2
- The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for ₹ 36. The original price of the sugar per kilogram was
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Let the original price of sugar = ₹ x /kg.
Reduced price of sugar = 80% of x= x × 80 = ₹ 4x kg 100 5 ∴ 36 - 36 = 1 4x x 2 5 ⇒ 45 - 36 = 1 x x 2 ⇒ 9 = 1 x 2
⇒ x = 9 × 2 = ₹ 18/Kg
Aliter : Using Rule 31,New price = 20 × 36 = ₹ 14.4 100 × 500 100
Let the original price be Rs x
A.T.Q.x - 20x = 14.4 100 80x = 14.4 100 x = 144 x = 18 8
∴ Original price = ₹ 18Correct Option: B
Let the original price of sugar = ₹ x /kg.
Reduced price of sugar = 80% of x= x × 80 = ₹ 4x kg 100 5 ∴ 36 - 36 = 1 4x x 2 5 ⇒ 45 - 36 = 1 x x 2 ⇒ 9 = 1 x 2
⇒ x = 9 × 2 = ₹ 18/Kg
Aliter : Using Rule 31,New price = 20 × 36 = ₹ 14.4 100 × 500 100
Let the original price be Rs x
A.T.Q.x - 20x = 14.4 100 80x = 14.4 100 x = 144 x = 18 8
∴ Original price = ₹ 18
- A reduction of 10% in the price of sugar enables a housewife to buy 6.2 kg more for ₹ 1116. The reduced price per kg is
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Reduced price of 6.2kg of sugar
= 10% of ₹ 1116
= ₹ 111.6
∴ Reduced price per kg= ₹ 111.6 = ₹ 18 6 2
Aliter : Using Rule 31,New price = 10 × 1116 100 × 6.2 = 1116 = ₹ 18 62 Correct Option: D
Reduced price of 6.2kg of sugar
= 10% of ₹ 1116
= ₹ 111.6
∴ Reduced price per kg= ₹ 111.6 = ₹ 18 6 2
Aliter : Using Rule 31,New price = 10 × 1116 100 × 6.2 = 1116 = ₹ 18 62
- When the price of sugar decreases by 10%, a man could buy 1 kg more for ₹ 270. Then the original price of sugar per kg is
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Let the original price of sugar be ₹ x/kg
∴ New price = ₹ 9x /kg 10 ∴ 270 - 270 = 1 9x x 10 ⇒ 300 - 270 = 1 ⇒ 30 = 1 x x x
⇒ x = ₹ 30 /kg
Aliter : Using Rule 31,New price = 10 × 270 = ₹ 27 100 × 1
Let the original price be Rs. x⇒ x - 10x = 27 100 90x = 27 100 x = 2700 = 30 90
∴ Original price = ₹ 30 per kgCorrect Option: B
Let the original price of sugar be ₹ x/kg
∴ New price = ₹ 9x /kg 10 ∴ 270 - 270 = 1 9x x 10 ⇒ 300 - 270 = 1 ⇒ 30 = 1 x x x
⇒ x = ₹ 30 /kg
Aliter : Using Rule 31,New price = 10 × 270 = ₹ 27 100 × 1
Let the original price be Rs. x⇒ x - 10x = 27 100 90x = 27 100 x = 2700 = 30 90
∴ Original price = ₹ 30 per kg