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vijaya kumar

· started a discussion

· 1 Months ago

doubt (Question:113177.0)

how the 2% is equal to 220
what is the logic

Question:

A, B and C are partners. A receives \(\cfrac{2}{5}\) of the profit and B and C share the remaining profit equally. A’s income is increased by Rs. 220 when the profit rises from 8% to 10%. The capitals invested by B and C are: 

Options:
A) 8000 each
B) 8050 each
C) 8250 each
D) 8500 each
Solution:
Ans: (c)

For A’s share (10% - 8%) = \(\unicode{x20B9} \)220

\(\therefore\) 100% = \(\cfrac{220}{2}\) × 100 = \(\unicode{x20B9} \)11000

\(\therefore\) A’s capital = 11000

For B’s and C’s share : \(\cfrac{2}{5}\) = 11000

\(\therefore \) \(\cfrac{3}{5}=\cfrac{11000}{2}×3\)= \(\unicode{x20B9} \)16500

\(\therefore\) B’s and C’s capitals are \(\unicode{x20B9} \)8250 each

Shivani Umrao

· commented

· 1 Months ago

kuch bhi

Knowledge Expert

· commented

· 1 Months ago

Detail Method: For A’s share: (10% – 8%) = Rs. 220
∴ 100% ≡220/2×100= Rs. 11000
∴ A’s capital ≡Rs. 11000
For B’s & share: 2/5≡ 11000
∴3/5≡11000/2×3≡ Rs. 16500
∴ B’s and C’s capitals are Rs. 8250 each.
Quicker Method: Applying the above rule, we have,
A’s capital = (100×220)/(10-8)= Rs. 11000
B’s and C’s capitals = ((100 × 220)/(10 - 8) × (1- 2/5))/2
= Rs. 8250 each.
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