Multiple choice

A shopkeeper bought three types watches A, B and C whose cost price is in the ratio of 8:6:7. If he sold type B watch at 2200 Rs, he would suffer loss of 8(1/3)%, but he sold his all three watches in the ratio of 6: 5:5 and made an overall profit of 14(2/7)%. What will be the profit percentage when type-C watch is sold at Rs. 500 more than its selling price?

  1. 33..33%

  2. 25%

  3. 20%

  4. Can’t be determined

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of A, B, C be 8x, 6x, 7x. For B sold at 2200 with 8(1/3)% loss: 2200 = 6x × (1 - 25/24) = 6x × (7/8), so 6x = 2200 × 8/7 ≈ 2514.29, giving x ≈ 419.05. Overall profit 14(2/7)% means total revenue = total CP × (9/8). With sales ratio 6:5:5, we can find individual selling prices. The question asks for profit % when C sells at Rs. 500 more than its selling price, which gives 25% profit.