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400 mangoes were bought at Rs. 1220 per hundred and were sold at a profit of Rs. 820. Find the selling price (in Rs. ) per dozen of mangoes.
Question

400 mangoes were bought at Rs. 1220 per hundred and were sold at a profit of Rs. 820. Find the selling price (in Rs. ) per dozen of mangoes.

A.

171

B.

186

C.

161

D.

181

Correct option is A

​Given:
400 mangoes bought.
Cost Price (CP) = Rs. 1220 per 100 mangoes.
Profit = Rs. 820.
Formula Used:
Total CP = (No. of mangoes ÷ 100) × CP per 100 mangoes
Total SP = Total CP + Profit
SP per mango = Total SP ÷ Total no. of mangoes
SP per dozen = SP per mango × 12
Solution:
Total CP = 400100\frac{400}{ 100} ​× 1220 = 4 × 1220 = 4880
Total SP = CP + Profit = 4880 + 820 = 5700
SP per mango =  5700400 \frac{5700}{ 400}​= 14.25
SP per dozen = 14.25 × 12 = 171

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