A shopkeeper bought certain number of apples for Rs. 3,600. He sold one-fifth of them at a loss of 10%, one-fourth of the remaining apples at a loss of 5%, and two-third of the rest at a profit of 15%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27% overall?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)

Answer 1

Given:

Cost price (C.P) = Rs.3600

Overall profit on apples = 27%

Concept used:

If profit P% occurred then

Selling price (S.P) = C.P × (100 + P)%

Where, P = profit%

Calculation:

Let the price of one apple = Rs.1

Quantity of apples = 3600

According to the question:

⇒ 3600 × (1/5) × (- 10%) + 2880 × (1/4) × (- 5%) + 2160 × (2/3) × 15% + 720 × (x%) = 3600 × 27%

⇒ - 7200 - 3600 + 21600 + 720x = 3600 × 27

⇒ - 720 - 360 + 2160 + 72x = 360 × 27

⇒ 72 × (- 10 - 5 + 30 + x) = 360 × 27

⇒ 15 + x = 5 × 27

⇒ x = 135 - 15 = 120%

Selling price of rest apple = 720 × (100 + 120)%

⇒ 720 × 220% = Rs.1584

∴ The correct answer is Rs.1584.

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