The expenses of a family on rice vegetables and cooking oil are in the ratio 9 11 5 If the prices of...........

Quantitative Aptitude (CHSL) Ratio, Proportion

The expenses of a family on rice, vegetables and cooking oil are in the ratio 9 : 11 : 5. If the prices of these items increases by

10%, 20% and 30%, respectively, then the total expenses of the family on these items will increase by:

This questions was previously asked in

SSC CHSL 7th June 2022 Shift-3

14.8%

19.2%

18.4%

16.2%

- The initial ratio of expenses is 9:11:5.

- Let the total initial expense be \( 9x + 11x + 5x = 25x \).

- Increased expenses:

- Rice (10% increase): \( 9x \times 1.10 = 9.9x \)

- Vegetables (20% increase): \( 11x \times 1.20 = 13.2x \)

- Cooking oil (30% increase): \( 5x \times 1.30 = 6.5x \)

- Total new expense: \( 9.9x + 13.2x + 6.5x = 29.6x \).

- Percentage increase: \( \frac{29.6x - 25x}{25x} \times 100 = 18.4\% \).

- Therefore, the total expenses will increase by *18.4%*.

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