SSC & BANK EXAMS: QUANTITATIVE APTITUDE · PROFIT, LOSS & DISCOUNT

Marked price, discount and profit

SP = MP × (100 − discount%)/100, and profit% is always on the cost price. Two discounts d1, d2 = one discount of d1 + d2 − d1·d2/100.

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Worked examples

Example 1 · level 1

A dealer in Lucknow marks goods 40% above the cost price and gives a discount of 15%. What is the profit or loss percentage?

25% profit
24% profit
19% loss
19% profit

Show solution

Let CP = ₹100. MP = ₹140.
SP = 140 × 85/100 = ₹119.
Result: 19% profit.

Answer: 19% profit

Example 2 · level 2

A shopkeeper in Chandni Chowk offers successive discounts of 20% and 10% on a festive sale. What single discount is equivalent to these?

Show solution

20 + 10 − 200/100
= 30 − 2 = 28%.

Answer: 28%

Example 3 · level 3

A shopkeeper in Chandni Chowk buys an article for ₹600. At what price should it be marked so that after a discount of 10% he still makes a profit of 26%?

Show solution

Required SP = 600 × 126/100 = ₹756.
SP is 90% of MP, so MP = 756 × 100/90 = ₹840.

Answer: ₹840