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

Question :1

The owner of a boutique decides to calculate the per centage of customers who purchase hats. If 40 per cent of the store’s customers decide to purchase items, and of those customers 15 percent purchase hats, then what per cent of the store’s customers purchase hats ?

Answer: (b)

15% of 40% = 6%

Question :2

If 12% of 75% is greater than 5% of a number by 75, the number is

Answer: (b)

Let the number be x,

Then, $12/100 × 75/100 × x - 5/100 × x = 75$

${9x}/100 - {5x}/100 = 75$

${4x}/100 = 75$

$x = {75 × 100}/4 = 1875$

Question :3

The entry fee in an exhibition was Rs. 10. Later this was reduced by 25%, which increased the sale of tickets by 20%. Find the percentage increase in the number of visitors.

Answer: (c)

10 × 100 = 1000, 100 = no. of visitors

Now, 7.5 × No. of visitors = 1200

No. of visitors = 160

Increase % = ${160 - 100}/100 × 100$ = 60%

Question :4

20% of a number when added to 20 becomes the number itself, then the number is

Answer: (a)

Let the number be x.

According to question

$20/100x + 20 = x$

$x/5 + 20$ = x

$x - x/5 = 20$

${4x}/5 = 20$ ⇒ x = 25

So, option (b) is correct

Question :5

18% of 609 + 27.5% of 450 = ?

Answer: (b)

? = $609 × 18/100 + 450 × 27.5/100$

= 109.62 + 123.75 = 233.37 ≈ 233

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