SSC MTS 2017 PYQs

Question 1

If the rice is sold at Rs. 56 per kg, there would be a 40% loss. To earn a proﬁt of 20% what should be the price of rice (per kg)?

Accepted Answer

A 40% loss means the selling price (56 Rs) is 60% of the cost price. Calculate the cost price (56/0.6). Then, find 120% of the cost price for a 20% profit.

Question 2

A wholeseller buys an article for Rs. 42 and sells it for Rs. 36. What is his loss percent?

Accepted Answer

Loss is 42 - 36 = Rs. 6. Loss percent = (Loss / Cost Price) * 100 = (6 / 42) * 100 = 14.28%.

Question 3

A fan costing Rs 1050 is being sold for Rs 1500. What is the proﬁt percentage?

Accepted Answer

Calculate profit (1500-1050=450). Divide profit by cost price (450/1050) and multiply by 100 to get the percentage: 42.85%.

Question 4

If the ratio of the cost price and selling price of an article is 20 : 21, then what will be the profit percentage?

Accepted Answer

Given CP:SP = 20:21. Profit = SP - CP = 21 - 20 = 1. Profit percentage = (Profit/CP) * 100 = (1/20) * 100 = 5%.

Question 5

If profit is 1/11thof selling price, then what is the profit percentage?

Accepted Answer

Profit is 1/11 of SP. So, if SP = 11, Profit = 1. CP = SP - Profit = 11 - 1 = 10. Profit percentage = (Profit/CP) * 100 = (1/10) * 100 = 10%.

Question 6

An article is sold for Rs. 8400 at a loss of 25%, what is the cost price (in Rs) of the article?

Accepted Answer

If the article is sold at a 25% loss for Rs. 8400, it means 8400 is 75% of the cost price. So, CP = 8400 / 0.75 = Rs. 11200.

Question 7

A shopkeeper buys a fan for Rs 14500. For how much should he sell (in Rs) it to gain a profit of 10%?

Accepted Answer

To find the selling price, calculate 10% of the cost price (14500 * 0.10 = 1450). Add this profit to the cost price: 14500 + 1450 = 15950.

Question 8

An article is sold for Rs. 4800 at a loss of 20%. What is the cost price (in Rs.) of the article?

Accepted Answer

If there's a 20% loss, the selling price is 80% of the cost price. So, 0.80 * CP = 4800. Dividing 4800 by 0.80 gives the cost price as 6000.

Question 9

A dealer claims to sell his goods at cost price but uses a weight of 80 gm for 100 gm. What is the proﬁt percentage for the dealer?

Accepted Answer

The dealer sells 100 gm worth of goods but gives only 80 gm. Profit is 20 gm on 80 gm. So, profit percentage = (20/80) * 100 = 25%.

Question 10

If the proﬁt is 20%, what will be the ratio of cost price to selling price respectively?

Accepted Answer

Profit of 20% means if CP is 100, SP is 120. The ratio CP:SP is 100:120, which simplifies to 5:6.

Question 11

A man sold 450 chairs and had a gain equal to selling price of 50 chairs. What is his proﬁt percentage?

Accepted Answer

Let SP of 1 chair be Re 1. Total SP = 450. Profit = 50. CP = SP - Profit = 450 - 50 = 400. Profit % = (50/400) * 100 = 12.5%.

Question 12

If 23% of a number is 690, then what is the 72% of the same number?

Accepted Answer

First, find the full number: 690 / 0.23 = 3000. Then, calculate 72% of 3000, which is 0.72 * 3000 = 2160.

Question 13

If income of R is 30% more than the income of Q and the income of Q is 20% more than the income of P, then the income of R is how much percent more than the income of P?

Accepted Answer

Assume P's income is 100. Q's income is 20% more, so 120. R's income is 30% more than Q, so 120 * 1.30 = 156. R's income is 56% more than P.

Question 14

The price of a house increases every year by 20%. If the present price is Rs. 720000, then what was its price (in Rs.) 2 years ago?

Accepted Answer

Let the price 2 years ago be P. After 20% increase each year, P * (1.20) * (1.20) = 720000. So, P * 1.44 = 720000. Thus, P = 720000 / 1.44 = 500000.

Question 15

Value of ((20% of 120) + (25% of 48))/(4% of 25) is?

Accepted Answer

Calculate each percentage: 20% of 120 is 24, 25% of 48 is 12, and 4% of 25 is 1. Sum the numerator (24+12=36) and divide by the denominator (1). The result is 36.

Question 16

The difference between 81% and 49% of a number is 768. What is the 48% of the number?

Accepted Answer

The difference (81% - 49% = 32%) of the number is 768. So, 1% = 768/32 = 24. Therefore, 48% of the number is 48 * 24 = 1152.

Question 17

What is the value of[(25%‌of‌240)+(6%‌of‌1200)]∕(4%‌of‌400)?

Accepted Answer

Calculate each percentage: 25% of 240 is 60, 6% of 1200 is 72, and 4% of 400 is 16. Sum the numerator (60+72=132) and divide by the denominator (16). 132/16 = 8.25.

Question 18

If the price of sugar is increased by 10%, then by how much percent consumption should be reduced so that the expenditure remains the same?

Accepted Answer

To maintain constant expenditure, if price increases by 10% (1/10), consumption must decrease by (1/10+1) = 1/11. Convert 1/11 to percentage: (1/11) * 100 = 9.09%.

Question 19

In a school 60% of the students are girls. If number of boys is 480, then what is the total number of students in the school?

Accepted Answer

If 60% are girls, then 40% are boys. Since 40% of total students is 480, the total number of students is (480 / 40) * 100 = 1200.

Question 20

Out of the total books, 20% of books are of type-1. 30% of remaining books are of type-2. 60% of remaining books are of type-3. The remaining 448 books are of type-4. How many total books are there?

Accepted Answer

Let total books be X. After type-1, 80% remain. After type-2, 70% of 80% remain. After type-3, 40% of 70% of 80% remain. This 40% of 70% of 80% equals 448. Calculate X.