Question

Vicky got 75% marks in English and 66.7% marks in maths.The maximum marks of both the papers is 120.What %does he score in sanskrit which is of maximum 100 marks.If he scores a total of 65% in all the three subjects ​

Answer 1

GivEn :

• Marks scored by Vicky in English = 75%

• Marks scored by Vicky in Maths = 66.7 %

• Maximum no. of marks of both the papers = 120

• Maximum no. of marks in Sanskrit = 100

• Vicky scores overall 65% .

To find :

• No. of marks he scored in Sanskrit (in percentage) = ?

SoluTion :

Conversion of % into marks,

1] Marks of Vicky in English :

$\sf : \implies \: \: \: \dfrac{75}{100} \times 120$

$\sf : \implies \: \: \: \dfrac{75 \times 12}{10}$

$\sf : \implies \: \: \: \dfrac{900}{10}$

$\sf : \implies \: \: \: { \underline{ \boxed{ \sf { \purple{90 \: marks}}}}}$

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2] Marks of Vicky in Maths :

$\sf : \implies \: \: \: \dfrac{66.67}{100} \times 120$

$\sf : \implies \: \: \: \dfrac{66.67 \times 12}{10}$

$\sf : \implies \: \: \: \dfrac{800 }{10}$

$\sf : \implies \: \: \: { \underline{ \boxed{ \sf{ \orange{80 \: marks}}}}}$

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✩ Total Marks of all the subjects :

$:\implies \sf \: \: \: 120 + 120 + 100$

$:\implies \sf \: \: \: 240 + 100$

$:\implies \sf \: \: \: { \underline{ \boxed{ \sf{ \blue{ \: 340 \: marks }}}}}$

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Also it is given that,

✩ Vicky scores overall 65% :

$: \implies \sf \: \: \: \dfrac{65}{100} \times 340$

$: \implies \sf \: \: \: \dfrac{65 \times 34}{10}$

$: \implies \sf \: \: \: \dfrac{2210}{10}$

$: \implies \sf \: \: \: { \underline{ \boxed{ \sf{ \red{ 221 \: marks}}}}}$

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Therefore,

• Marks in Sanskrit = 221 - 90 - 80 = 51 Marks

★ No. of marks(%) he scored in Sanskrit :

$:\implies \sf \: \: \: \dfrac{51}{100} \times 100$

$:\implies \sf \: \: \: { \underline{ \boxed{ \bf{ \purple{ \: 51 \: \% \: }}}}} \: \bigstar$

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