percentages Model Questions & Answers, Practice Test for ssc cgl tier 1 2023

Question :16

In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gm mixture, 15 gm water was added, what would be the percentage of water ?

Answer: (d)

Weight of water in the mixture of 60 g water

= $60 × 75/100$ = 45g

weight of water in the mixture of 45 g water

= 45 + 15 = 60 g

∴ Percentage of water = ${60 × 100}/75 = 80%$

Question :17

A number is increased by 20% and then again by 20%. By what percent should the increased number be reduced so as to get back the original number ?

Answer: (a)

Let original number = 100

New number = 120% of 120% of 100

= $(120/100 × 120/100 × 100)$ = 144.

Decrease on 144 = 44. Decrease on 100

= $(44/144 × 100) % = 30{5}/9$ %

Question :18

Manish invests Rs. 3,818, which is 20% of his monthly income, in insurance policies. What is his monthly income?

Answer: (c)

The monthly salary of Manish will be

= ${3818 × 100}/20$ = Rs. 19090

Question :19

The ratio of Jim's salary for October to his salary for November was 1.5 : 1.333 and the ratio of the salary for November to that for December was 2 : 2.6666. The worker got 40 rupees more for December than for October and received a bonus constituting 40 per cent of the salary for three months. Find the bonus. (Assume that the number of workdays is the same in every month.)

Answer: (d)

October : November : December = 9 : 8 : 10.666 since, he got Rs.40 more in December than October, we can conclude that 1.666 = 40 → 1= 24.

Thus, total Bonus for the three months is: 0.4 × 27.666 × 24 = 265.6

Question :20

Swapana spent Rs. 44,620 on Deepawali Shopping, Rs. 32,764 on buying Laptop and the remaining 32% of the total amount was left as cash with her. What was the total amount?

Answer: (a)

Total amount spent

= 44620 + 32764 = Rs. 77384

Percentage of amount spent = 100 – 32 = 68%

∴68% = 77384

∴100% = ${77384 × 100}/68$ = Rs. 113800

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