Exams › SSC CGL (Prelims) › General

A value was mistakenly decreased by 10% instead of increased by 10%. By what percent is the final result less than the correct value?

1. 20%
2. 18.18%
3. 15.5%
4. 22.22%

Correct answer: 18.18%

Solution

Let the original value be 100. The correct value after a 10% increase is 110, while the mistaken value after a 10% decrease is 90. The shortfall is 20, and as a percentage of the correct value, \(20/110 \times 100 = 18.18\%\).

Related SSC CGL (Prelims) General questions

• If 40% of P = 0.5 of Q = \(\frac{1}{8}\) of R, find P : Q : R.
• Evaluate: $15\frac{1}{3}\%$ of 480 km + $58\frac{1}{3}\%$ of 300 km.
• A sales agent earns 3% commission on laptops priced at ₹40,000 each and 8% commission on printers priced at ₹8,000 each. If in a week he sells 4 laptops and 10 printers, what is his total commission for 5 such weeks?
• The radius of a circular plate is increased by 8%. What will be the approximate percentage increase in its area?
• A family spends on groceries, rent, and other expenses in the ratio 3:5:2. Next year, groceries are expected to rise by 8%, rent by 4%, and other expenses to fall by 10%. What will be the overall percentage change in total expenditure?
• The budget of a factory is distributed among raw materials, wages, and maintenance in the ratio 4:3:3. During a year, the cost of raw materials rises by 12%, wages by 8%, and maintenance falls by 10%. What is the overall percentage change in the total budget?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →