Question

Due to increase of 40% price of pulse, a man purchase 12 kg less for 3150, then what is the original price

Answer 1

Answer:

Given

Price reduced of pulses = 40%

4 kg more pulses purchased in Rs. 600

Calculation

Let the original price is Rs. x per kg

Quantity purchased = 600/x

New price = (100 - 40)% of x

60% of x

⇒ 3x/5

Quantity purchased = 600/(3x/5)

⇒ [600/(3x/5)] - (600/x) = 4

⇒ (600 × 5/3x) - (600/x) = 4

⇒ (1000/x) - (600/x) = 4

⇒ 400/x = 4

⇒ 400/4 = x

⇒ 100 = x

∴ Original price is Rs. 100 per kg

We know that 40% = 2/5

Let the original price of pulse be 5 units

Reduced price = 5 - 2 = 3 units

Price is inversely proportional to consumption

Original consumption = 3 units

Increased consumption = 5 units

Consumer can buy 4 kg

2 units = 4 kg

1 unit = 2 kg

Original consumption = 3 × 2 = 6 kg

Increased consumption = 5 × 2 = 10 kg

∴ Original price = 600/6 = Rs. 100 per kg

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