A person bought an item and sold it at a loss of 5%. If he had bought

1.	A person bought an item and sold it at a loss of 5%. If he had bought it for 10% less and sold it for ₹ 170 more, he would have had a profit of 20%, Find the cost price of this item. (nearest to ₹1)1. ₹14402. ₹13083. ₹13004. ₹1500
Answer» Correct Answer - Option 2 : ₹1308 Given: 1st selling at 5% loss 2nd cost price at 10% loss profit 20% The difference between two SP's is 170 Calculation: Let the CP = 100 ⇒ 1st SP at 5% loss ⇒ SP₍₁₎ = 95 ------(1) Now the CP is reduced by 10% ⇒ 2nd CP = 90 He had gain 20% profit on this CP ⇒ SP = 120/100 × 90 ⇒ SP = 6/5 × 90 ⇒ SP₍₂₎ = 108 ------(2) Now difference between two SP's is 170 ∴ SP₍₂₎-SP₍₁₎ -- 170 ⇒ 108 - 95 -- 170 ⇒ 13-- 170 ∴ 1 -- 170/13 We have CP = 100 ∴ For CP 170/13 × 100 ⇒ CP = 1307.98 ⇒ CP = 1308

A person bought an item and sold it at a loss of 5%. If he had bought it for 10% less and sold it for ₹ 170 more, he would have had a profit of 20%, Find the cost price of this item. (nearest to ₹1)1. ₹14402. ₹13083. ₹13004. ₹1500

Answer» Correct Answer - Option 2 : ₹1308

Given:

1st selling at 5% loss

2nd cost price at 10% loss

profit 20%

The difference between two SP's is 170

Calculation:

Let the CP = 100

⇒ 1st SP at 5% loss

⇒ SP₍₁₎ = 95 ------(1)

Now the CP is reduced by 10%

⇒ 2nd CP = 90

He had gain 20% profit on this CP

⇒ SP = 120/100 × 90

⇒ SP = 6/5 × 90

⇒ SP₍₂₎ = 108 ------(2)

Now difference between two SP's is 170

∴ SP₍₂₎-SP₍₁₎ -- 170

⇒ 108 - 95 -- 170

⇒ 13-- 170

∴ 1 -- 170/13

We have CP = 100

∴ For CP

170/13 × 100

⇒ CP = 1307.98

⇒ CP = 1308

Discussion

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