percentage Model Questions & Answers, Practice Test for ssc mts tier 1 2024

Question :16

If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by

Answer: (a)

Let original consumption = 100 kg

and new consumption = x kg

So, 100 × 6 = x × 7.50 ⇔ x = 80 kg

∴ Reduction is consumption = 20%

Question :17

A landowner increased the length and breadth of a rectangular plot by 10% and 20% respectively. Find the percentage change in the cost of the plot.

Answer: (a)

Increase in Area = $10 + 20 + {10 × 20}/100$

= $30 + 200/100 = 32%$

Hence, there will be 32% change in the cost of the plot.

Question :18

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of total valid votes. Find the total number of votes enrolled in that election.

Answer: (a)

Let the total number of votes enrolled be x.

Then, Number of votes cast = 75% of x.

Valid votes = 98% of (75% of x).

∴ 75% of [98% of (75% of x)] = 9261

$(75/100 × 98/100 × 75/100 × x) = 9261$

⇒$x = ({9261 × 100 × 100 × 100}/{75 × 98 × 75}) = 16800.$

Question :19

Deepa decided to donate 8% of her salary to an orphanage, On the day of donation she changed her mind and donated Rs. 2240 which was 80% of what she had decided earlier. How much is Deepa's salary?

Answer: (c)

Let the salary of Deepa be Rs. x.

Then, 80% of 8% of x = 2240

$80/100 × 8/100 × x = 2240$

$x = {2240 × 100 × 100}/{80 × 8}$ = 35000

Hence, the salary of Deepa = Rs. 35000

Question :20

The salary of Anil and Vinit is 20% and 30% less than the salary of Dheeraj respectively. By what percentage is the salary of Anil more than the salary of Vinit?

Answer: (d)

Salary of Dheeraj = Rs. 100

Salary of Anil = Rs. 80

Salary of Vinit = Rs.70

Required percent = $10/70 × 100$ = 14.28%

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