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A man purchased 150 t-shirts, each costing the same, but 40% of them are lost in transit which cannot be recovered. He sold 50% of the remaining at 20% profit each and remaining at 5% loss each. If the total selling price of t-shirts is Rs. 7740, then what was the cost price of each t-shirts?1. Rs. 1002. Rs. 603. Rs. 904. Rs. 805. Rs. 85 |
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Answer» Correct Answer - Option 4 : Rs. 80 Given: Total number of t-shirts = 150 Lost in transit = 40% Formula used: SP = [CP + (CP × profit%)] SP = [CP – (CP × loss%)] SP = selling price CP = cost price Calculation: Let CP be Rs. 20x According to the question, 40% of the t-shirts are lost in transit So, only 150 × 60% = 90 t-shirts can be sold 45 t-shirts at 20% profit ⇒ 45 × 20x × 6/5 ⇒ 45 × 24x ⇒ 1080x 45 t-shirt at 5% loss ⇒ 45 × 20x × 19/20 ⇒ 45 × 19x ⇒ 855x 1080x + 855x = 7740 ⇒ 1935x = 7740 ⇒ x = 4 ⇒ 20x = 80 ⇒ CP = Rs. 80 ∴ Cost price of each t-shirts is Rs. 80 |
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