ratio proportion and partnership Model Questions & Answers, Practice Test for ssc cgl tier 1 2023

Question :6

A and B started a business investing amounts of Rs. 150000 and Rs. 250000 respectively. What will be B's share in the profit of Rs. 160000?

Answer: (a)

Ratio of capitals = 1,50000 : 250000

3 : 5

B's share = $1,60,000×5/8$ = 1,00,000.

Question :7

The largest and the second largest angles of a triangle are in the ratio of 13 : 12. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles ?

Answer: (d)

Smallest angle = (13 + 12)× ${20}/{100}$ = 5

∴ Ratio of angles = 13 : 12 : 5

∴ Sum of smallest and second largest angles

= ${{180 ×{(12 + 5)}}/{(13 + 12 + 5)} = {180 × 17}/30$ = 102°

Question :8

In 30 litres mixture of milk and water, the ratio of milk and water is 7 : 3. Find the quantity of water to be added in the mixture in order to make this ratio 3 : 7.

Answer: (c)

In 30L mixture ratio of milk and water = 7 : 3

∴Milk = 21L, Water = 9L

Let added water = xL

∴${21}/{9 + x}$ = $3/7$

27 + 3x = 147

3x = 120

x = 40

∴40L water added

Question :9

A sum of money is to be divided among Z, X, Y in the respective proportion of 4:5:6 and another sum to be divided between A and B equally. If Z got Rs. 2000 less than A, how much did X get?

Answer: (d)

Question :10

Mr. Pandit owned 950 gold coins all of which he distributed amongst his three daughters Lalita, Amita and Neeta. Lalita gave 25 gold coins to her husband, Amita donated 15 gold coins and Neeta made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20 : 73 : 83. How many gold coins did Amita receive from Mr. Pandit?

Answer: (a)

Required number of gold coins

= ${(950-(25+15+30))×73}/{(20+73+83)}+15$

= 365 + 15

= 380

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