The price of diesel is increased by 26%. A person wants to increase his expenditure by 15% only. By what percentage, correct to one decimal place, should he decrease his consumption?
Answer & explanation
Correct answer: option 3
26% = \(\frac{13}{50}\)
15% = \(\frac{3}{20}\)
ATQ,
Price ⇒ 50 : 63
Consumption ⇒ a : b
Expenditure ⇒ 20 : 23
{Price × consumption = Expenditure}
Now,
⇒ \(\frac{50a}{63b}\) = \(\frac{20}{23}\)
⇒ \(\frac{a}{b}\) = \(\frac{126}{115}\)
⇒ Consumption decreased by = 126 - 115 = 11
⇒ Decreased percentage = \(\frac{11}{126}\) × 100 = 8.7%