SSC CGL 2025 PYQs

Question 1

A grocer bought 20 kg of wheat type P at 50 per kg and 30 kg of wheat type Q at 80 per kg. He mixed them and sold the entire mixture at 70 per kg. Calculate his total profit or loss.

Accepted Answer

Calculate total cost price: (20*50) + (30*80) = 1000 + 2400 = 3400. Total selling price: (20+30)*70 = 50*70 = 3500. Profit = 3500 - 3400 = 100.

Question 2

A and B share a rented field. A utilizes 40 horses for 5 months, while B uses 60 cows for 4 months and 90 sheep for 5 months. If 4 horses are equivalent to 5 cows, and 3 cows are equal to 9 sheep. What portion of the rent is A pay ?

Accepted Answer

Convert all units to a common base (e.g., cows). 4 horses = 5 cows, so 1 horse = 5/4 cows. 3 cows = 9 sheep, so 1 sheep = 1/3 cow. Calculate A's and B's total equivalent cow-months. A's share is A's cow-months / total cow-months.

Question 3

A furniture store sold three sofas, S1, S2, and S3, whose selling prices were in the ratio 4: 5: 6. They made a profit of 25 percent on S1, a loss of 5 percent on S2, and a profit of 15 percent on S3. What was their approximate total profit or loss percentage for the entire sale?

Accepted Answer

Assume selling prices are 400, 500, 600. Calculate cost prices for each sofa using given profit/loss percentages. Sum total selling price and total cost price to find overall profit/loss percentage.

Question 4

A fruit seller sells apples at a profit of 10 percent on the cost price but uses a weight that is 10 percent less than the actual weight. Find his total profit percentage.

Accepted Answer

Assume CP of 1000g is Rs 1000. Seller sells 900g for Rs 1100 (10% profit on CP). Effective CP for 900g is Rs 900. Profit = (1100-900)/900 * 100 = 22.22%.

Question 5

A furniture manufacturer sells a dining table set to a showroom at a 25% discount on the marked price, but adds a 10% handling fee on the discounted price. The showroom then sells the set for 4500 more than what they paid, thereby earning a profit of 25%. At what price had the manufacturer marked the dining table set?

Accepted Answer

Let showroom's cost be C. Profit is 25%, so 1.25C = C + 4500, thus C = 18000. This 18000 is 110% of (0.75 * Marked Price). So, Marked Price = 18000 / (1.1 * 0.75) = 21818.18.

Question 6

A manufacturer marks up the price of a generator by 33 percent above its cost price. He gives a 10 percent trade discount to a distributor. The distributor, in turn, marks up the price by 20 percent above his purchase price and offers a 5 percent seasonal discount to the customer. If the customer finally pays 13,680 for the generator, what is the original approximate cost price of the generator to the manufacturer?

Accepted Answer

Let CP be x. Manufacturer's SP = x * 1.33 * 0.90. Distributor's SP = (x * 1.33 * 0.90) * 1.20 * 0.95 = 13680. Solving for x gives approximately 10025.

Question 7

The profit made on an item sold for Rs 1500 is equal to the loss incurred when it is sold for Rs 1200. What will be the profit or loss percentage if the item is sold for Rs 1400?

Accepted Answer

Let CP be the cost price. Profit = 1500 - CP, Loss = CP - 1200. Equating them, 1500 - CP = CP - 1200, so 2CP = 2700, CP = 1350. Selling at 1400, profit is 50. Profit percentage = (50/1350)*100 = 3.7%, approximately 4%.

Question 8

A 60-liter solution contains alcohol and water in the ratio 7:5. If 12 liters of this solution are removed and replaced with 6 liters of pure water, what is the new ratio of alcohol to water in the final solution?

Accepted Answer

Initial alcohol = 35L, water = 25L. After removing 12L, alcohol = 35 - (12*7/12) = 28L, water = 25 - (12*5/12) = 20L. Adding 6L water makes water = 26L. New ratio is 28:26 or 14:13.

Question 9

A stationery supplier ordered 10 boxes of premium pens and some boxes of standard pens. The price of premium pens per box was twice that of standard pens. When the order was delivered, the number of boxes of premium and standard pens had been accidentally interchanged. This increased the total bill by 25%. What was the ratio...?

Accepted Answer

Let premium boxes be P=10, standard boxes be S. Price of premium pen box be 2x, standard pen box be x. Original bill = 10(2x) + S(x) = 20x + Sx. Interchanged bill = S(2x) + 10(x) = 2Sx + 10x. Given, 2Sx + 10x = 1.25(20x + Sx). Solving this equation gives S = 20. So, the ratio P:S = 10:20 = 1:2.

Question 10

A 80-litres solution of milk and water has 10 percent water. How many litres of milk must be added to the solution to make the water content 8 percent?

Accepted Answer

Initial water is 8L (10% of 80L). After adding milk, water remains 8L, which is 8% of the new total. So, new total is 8/0.08 = 100L. Milk added = 100 - 80 = 20L.

Question 11

A retailer sells a shirt for Rs X and earns a profit of 25 percent. For a special sale, he marks the same shirt at Rs 2X. At the offer, he provides a discount of 20 percent. What will be the percentage profit that he will make during the sale?

Accepted Answer

Initial CP = X / 1.25 = 0.8X. New SP = 2X * (1 - 0.20) = 1.6X. Profit = 1.6X - 0.8X = 0.8X. Percentage profit = (0.8X / 0.8X) * 100 = 100%.

Question 12

A manufacturer's base cost is P. The distributor applies a 25% markup. They offer a 10% trade discount to the store. The store applies a 60% markup on its cost and offers a flat 25% discount to customers on the printed price. If a customer finally pays 10,800, what is the original base cost (P)?

Accepted Answer

Work backward from the customer's payment. Apply the store's discount, then reverse its markup. Then reverse the distributor's discount and markup to find the original base cost P.

Question 13

A machine fills 0.4 liters of water every second. How much does it fill in 8 seconds?

Accepted Answer

To find the total volume, multiply the filling rate (0.4 L/s) by the time (8 s). 0.4 × 8 = 3.2 liters.

Question 14

P can do a work in 10 days and Q in 15 days. They work together for 4 days. What part of the work is left?

Accepted Answer

P's 1-day work is 1/10, Q's is 1/15. Together, they do (1/10 + 1/15) = 1/6 work per day. In 4 days, they complete 4 * (1/6) = 2/3 of the work. Remaining work is 1 - 2/3 = 1/3.

Question 15

A shopkeeper marked an item 40 percent above its cost price. During a sale, he offered a discount of 20 percent. What was his profit percentage?

Accepted Answer

Assume CP is 100. Marked Price (MP) is 140 (100 + 40% of 100). Discount is 20% of 140, which is 28. Selling Price (SP) is 140 - 28 = 112. Profit is 112 - 100 = 12. Profit percentage is 12%.

Question 16

Worker K takes 18 hours to assemble a device, and Worker L takes 9 hours. When Worker M assists them, they complete the assembly in just 3 hours. How long would it take for M to complete the job alone?

Accepted Answer

K's rate is 1/18, L's is 1/9. Combined rate (K+L+M) is 1/3. M's rate = 1/3 - (1/18 + 1/9) = 1/3 - (1/18 + 2/18) = 1/3 - 3/18 = 1/3 - 1/6 = 2/6 - 1/6 = 1/6. So, M takes 6 hours.

Question 17

A vendor mixes two types of coffee beans – one costing 120 per kg and the other costing 180 per kg, in the ratio 2 : 1. If he sells the mixed variety at 152 per kg, find his gain or loss percent.

Accepted Answer

Calculate the weighted average cost price: (2*120 + 1*180) / (2+1) = 420/3 = 140 Rs/kg. Selling price is 152 Rs/kg. Profit = (152-140)/140 * 100 = 8.57%.

Question 18

A retailer mixes 50 kg of sugar costing 45 per kg with a certain quantity of sugar costing 60 per kg. If he sells the mixture at 62 per kg, making a 24 percent profit, what quantity of the second type of sugar did he mix?

Accepted Answer

Calculate the cost price of the mixture using the selling price and profit percentage. Then, apply the allegation rule or weighted average to find the quantity of the second type of sugar.

Question 19

A shopkeeper marks his goods at 50 percent above the cost price. He allows a discount of 20 percent on the marked price. If he also gives an additional cash discount of Rs 500, and still makes a profit of 10 percent on the cost price, what is the cost price of the goods?

Accepted Answer

Let CP be x. MP = 1.5x. Price after 20% discount = 1.5x * 0.8 = 1.2x. After cash discount, SP = 1.2x - 500. Profit = 0.1x. So, 1.2x - 500 = x + 0.1x. Solving for x gives CP = Rs 5000.

Question 20

Three varieties of pulses costing 50/kg, 60/kg, and a third unknown price are mixed in the ratio 1:1:2. If the resulting mixture is sold at 72/kg, making a profit of 20% on the cost price, what is the price of the third variety of pulse per kg?

Accepted Answer

First, calculate the cost price of the mixture: 72 / 1.20 = 60 Rs/kg. Let the third price be 'x'. Set up the weighted average equation: (1*50 + 1*60 + 2*x) / (1+1+2) = 60. Solve for x: (110 + 2x) / 4 = 60 => 110 + 2x = 240 => 2x = 130 => x = 65.