The price of the sugar goes up by 30%. By what percent should Sita reduce her consumption so that the expenditure does not increase?

Question

Question

This question was previously asked in

RRB ALP CBT I 29 Aug 2018 Shift 1 Official Paper

Answer 1

Given:

Increase % in the price of sugar = 25%

Formula used:

Expense = Price × Quantity

Calculation:

Let the initial expenses on sugar was Rs.100

Now, the price rises by 30%

New price = (100 + 100 × 30%) = 130

In order to keep the expense unaltered, Rs.30 has to be cut from Rs.130.

⇒ 130 - 30 = 100

∴ The decrease in the consumption = 30/130 × 100 = \(23\frac{1}{13}\%\)

Shortcut Trick

100 → + 30% → 130 _____ - Y% → 100

Now, Y = 30/130 × 100 = \(23\frac{1}{13}\%\)