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Dhruvi sells her priced possessions of Rs. 1200 at 1440 to harshita, harshita increases the price of possessions by 5% and then sells them at that price to raavi, haari purchases them at Rs. 1701 from raavi. What is the ratio of profit/ loss % earned by dhruvi and raavi?

Dhruvi sells her priced possessions of Rs. 1200 at 1440 to harshita, harshita increases the price of possessions by 5% and then sells them at that price to raavi, haari purchases them at Rs. 1701 from raavi. What is the ratio of profit/ loss % earned by dhruvi and raavi? Correct Answer 8 : 5

Given:

Dhruvi sells to harshita = Rs. 1440

C.P. for dhruvi = Rs. 1200

Harshita to raavi = 5%

Raavi to haari = Rs. 1701

Formula:

S.P. = C.P. (1 + (profit%/100))

Profit% = ((S.P. – C.P.)/C.P.) × 100

Calculation:

Profit percentage = ((1440 – 1200)/1200) × 100

⇒ Profit percentage = 240 × 100/1200

⇒ Profit percentage gained by Dhruvi= 20%

⇒ Selling price for dhruvi = cost price for harshita

⇒ Harshita increases price by 5% = 1440 × (1 + (5/100))

⇒ Harshita sells it at = 1512

⇒ S.P. for Harshita = C.P. for Raavi = Rs. 1512

⇒ C.P. for Haari = S.P. for Raavi = Rs. 1701

⇒ Profit % gain by raavi = ((1701 – 1512)/ 1512) × 100

⇒ Profit % gain by raavi = 189 × 100/1512

⇒ Profit% gain by raavi = 12.5%

Ratio of profit% earned by dhruvi to raavi = 20%/12.5%

⇒ required ratio = 8 : 5

∴ required ratio is 8 : 5

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