Symbiosis National Aptitude Test SNAP 2013 Paper

Question : 11 of 150

Marks: +1, -0

A certain amount was to be distributed among A, B and C in the ratio 2 :3 :4 respectively, but was erroneously distributed in the ratio 7:2:5 respectively. As a result of this, B got ₹ 40 less. What is the amount ?

₹ 210/-
₹ 270/-
₹ 230/-
₹ 280/-

Validate

Solution:

Let amount of B = ₹ x
B’s share without error =

{\B's \ratio}/{\Total \ratio}

× Total Amount
x =

3/9

× Total Amount
B’s share after error =

{\B's \new \ratio}/{\Total \new \ratio}

× Total Amount
x - 40 =

2/{14}

× Total amount ... (ii)
From equations (i) and (ii)
3x = 7(x–40)
3x – 7x = –280
∴ x = 70
Total amount = 7 (70 – 40) = ₹ 210

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