📘 Percentage Change in Geometry📚 Percentage Change in 2D Area — Square, Rectangle, Triangle, Circle

Q1

If the radius of a sphere is increased by
16 $\displaystyle \dfrac{2}{3}\%$ , then by what per cent would its surface area increase
(correct to one decimal place)?

🎯 SSC MTS 27/10/2021 (Shift-02)

📘 Population Growth and Decline📚 Varying Rates — Mix of Growth and Decline Over Multiple Years

Q2

The strength of a school increases and decreases every alternate year by $\displaystyle 20\%$ . It started with an increase in the year $\displaystyle 2015$ and the initial strength was $\displaystyle 3000$ . Find the strength of the school in the year $\displaystyle 2017$ and also the percentage of increase in strength, respectively.

🎯 SSC MTS 05/09/2023 (Shift-02)

📘 Income Expenditure and Savings📚 Percentage Change in Savings with Simultaneous Income and Expenditure Change

Q3

Suresh could save $\displaystyle 20\%$ of his income. But $\displaystyle 4$ years later, when his income increased by $\displaystyle 40\%$ , he could save the same amount only as before. By how much percentage did his expenditure increase?

🎯 SSC MTS 14/09/2023 (Shift-02)

📘 Effect of Changing Selling Price📚 New Profit/Loss Percentage when SP is Altered

Q4

If I gain 124% by selling an item for ₹1,232, then what would be my gain or loss percentage if I sell it for ₹572?

🎯 SSC MTS 05/10/2021 (Shift-01)

📘 Effect of Changing Selling Price📚 SP Change Causes Outcome Sign Flip - Find CP

Q5

A man sold his cycle at 17% loss. If he had sold it for 1,056 more, he would have made 5% profit. The cost price of the cycle is:

🎯 SSC MTS 08/09/2023 (Shift-02)

📘 Ratio and Difference Based Problems📚 Profit or Loss as Percentage of Selling Price

Q6

If loss is $\displaystyle \dfrac{1}{8}$ of the selling price, then the actual loss percentage is:

🎯 SSC MTS 14/09/2023 (Shift-03)

📘 Ratio and Difference Based Problems📚 Profit or Loss as Percentage of Selling Price

Q7

An article is sold at a loss of 40%. The nominal amount of loss is approximately what percentage of the selling price of the article?

🎯 SSC MTS 05/07/2022 (Shift-03)

📘 Profit Equals Loss Condition📚 Profit Amount equals Loss Amount at Different SPs

Q8

The profit obtained by a vendor on selling goods at ₹3,200 is equal to $\displaystyle \dfrac{7}{5}\text{ th}$ of the profit obtained by selling the same goods at ₹3,000. What is the cost price (in ₹) of the goods?

🎯 SSC MTS 06/09/2023 (Shift-01)

📘 Profit Equals Loss Condition📚 Profit Percent equals Loss Percent at Different SPs

Q9

Ravi sells a laptop bag to Reeta for ₹1,920 and he sells another similar laptop bag to Vinay for ₹1,280. The percentage profit earned in selling the laptop bag to Reeta is equal to the percentage loss in selling the laptop bag to Vinay. At what price (in ₹) should Ravi sell the laptop bag to make a profit of 25%?

🎯 SSC MTS 08/09/2023 (Shift-03)

📘 Basic CP-SP-Profit-Loss Calculations📚 Problems with Additional Expenses

Q10

A shopkeeper buys $\displaystyle 60$ oranges at $\displaystyle 10$ for ₹ $\displaystyle 72$ , and an equal number at $\displaystyle 12$ for ₹ $\displaystyle 90$ . He spends ₹ $\displaystyle 118$ on the transaction and sells all the oranges that he buys. If there is a profit of $\displaystyle 26\%$ in the entire transaction, then what is the selling price of $\displaystyle 32$ oranges?

🎯 SSC MTS 27/10/2021 (Shift-02)

📘 Partial Selling and Target Overall Result📚 Finding Required P/L Percent on Remaining Goods

Q11

A trader purchased $\displaystyle 500\text{ kg}$ of sugar at ₹40 per kg. He sold $\displaystyle 200\text{ kg}$ of it at a profit of $\displaystyle 10\%$ and $\displaystyle 120\text{ kg}$ at a loss of $\displaystyle 5\%$ . At what rate per kg (in ₹, correct to $\displaystyle 2$ decimal places) should he sell the remaining sugar to gain $\displaystyle 12\%$ on his initial investment?

🎯 SSC MTS 18/10/2021 (Shift-02)

📘 Partial Selling and Target Overall Result📚 Finding Required P/L Percent on Remaining Goods

Q12

A medical store owner purchased medicines worth ₹18,000 from a company. He sold $\displaystyle \dfrac{2}{5}$ part of the medicine at a 35% loss. On which gain, he should sell the rest of the medicines so that he has neither gain nor loss?

🎯 SSC MTS 13/09/2023 (Shift-02)

📘 Partial Selling and Target Overall Result📚 Different Quantities at Different P/L Percent - Overall Result

Q13

Shivam purchased two watches, first for ₹12000 and the second for ₹10000. He sold both the watches, first one at the profit of 10% and the second at a loss of 10%. What is the overall profit or loss?

🎯 SSC MTS 19/05/2023 (Shift-01)

📘 Partial Selling and Target Overall Result📚 Different Quantities at Different P/L Percent - Overall Result

Q14

A bought a bag and a bottle for a total of ₹900. He sold the bottle at a profit of 12% and the bag at a profit of 20%. If he earned a total profit of ₹160.80, then calculate the cost price of the bottle.

🎯 SSC MTS 07/07/2022 (Shift-01)

📘 Effect of Changing Selling Price📚 Find Target SP for Desired Profit/Loss Percentage

Q15

By selling a TV set for ₹16,800, a salesman gains a profit of 20%. If the production cost is increased by 20%, find the new selling price of the set so as to gain 20%.

🎯 SSC MTS 04/09/2023 (Shift-01)

📘 Goods Passing Through Multiple Hands📚 A Sells to B then B Sells to C with Different P/L Percent

Q16

The cost of manufacturing an item was ₹24,000, and 20% of it was spent on packaging and its shipment to a retailer. The manufacturer made a profit of 50%, while the retailer incurred a loss of 20% on selling it to a customer. At what price (in ₹) was the item sold by the retailer?

🎯 SSC MTS 05/10/2021 (Shift-02)

📘 Goods Passing Through Multiple Hands📚 Chain of Multiple Transactions

Q17

A company buys raw materials for ₹10,000 and manufactures a product that costs an additional ₹5,000 in labour and overhead. The product is sold to a distributor for ₹25,000, who marks it up by 20% and sells it to a retailer. The retailer then marks it up by another 25% and sells it to the end customer. What is the overall percentage profit made by the company, distributor, and retailer combined?

🎯 SSC MTS 11/09/2023 (Shift-03)

📘 Successive Percentage Change📚 Finding Original Value After Multiple Successive Changes

Q18

The price of an article
increases by 20% every year. If the difference between the price of the
article at the end of the third year and at the end of the fourth year is ₹324,
what is the price of the article at the end of the second year?

🎯 SSC MTS 08/10/2021 (Shift-02)

📘 Income Expenditure and Savings📚 Successive Spending from Income Find Savings or Remaining

Q19

Mr. Stark gave 30% of the
money he had to Bruce. He also gave 30% of the remaining amount to each of
Natasha, Captain and Vision. Half of the remaining amount he spent on
miscellaneous items, and the remaining amount of ₹14,000 he deposited in
Marvel's Fund. How much money did Mr. Stark initially have?

🎯 SSC MTS 20/07/2022 (Shift-02)

📘 Income Expenditure and Savings📚 Successive Spending from Income Find Savings or Remaining

Q20

Aman gave 30% of his monthly income to
his father and of the remaining income he gave 30% to his daughter and 25%
to his wife. Aman invested the amount of money still remaining from his monthly
income equally in three schemes. If he invested ₹42,000 in each scheme, what is
Aman's monthly income (in ₹ thousand)?

🎯 SSC MTS 25/07/2022 (Shift-03)

Mathematics - MOST IMPORTANT SSC MTS Previous Year Questions